Problem 2: The crane can be adjusted to any angle 0° θ 90° and any extension 0 x 5m. For a suspended mass of 120 Kg, determine the moment developed at A as a function of x and θ. What values of both x and θ develop the maximum possible moment at A? Compute this moment. Neglect the size of the pulley at B.
Answers
The function that causes values of both x and to develop the highest feasible moment at A according to the provided suspended mass is written as 14715 Nm (clockwise).
What is mass ?The quantity of matter or substance that makes up a thing is known as its mass. The unit of measurement is the kilogramme, abbreviated as kg. It's crucial to keep in mind that mass differs from weight. While weight varies with changes in gravity, mass never changes.
We have identified the following values,
adjust for any angle 00 ≤ θ ≤ 900 any extension 0 ≤ x ≤ 5 m.
So,
Let us consider an equation to calculate the moment using θ and x as variables around point A.
⇒ ((9−1.5) + x) (cosθ) (120) (9.81)
When we are simplifying the given equation gives us:
⇒ MA = (7.5+x) 1177.2 cosθ
Here the maximum moment will develop if θ = 0 and x=5 m.
Then, by substituting these values gives us:
⇒ MA=(7.5+x)1177.2cosθ
⇒ MA=(7.5+5)1177.2cos00
Thus, the value of MA is written as, 14715 Nm (clockwise)
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Related Questions
What are the two major grains found on ALL lumber?
Answers
The two major grains found on all lumber are the longitudinal grain and the radial grain.
The longitudinal grain runs parallel to the length of the board, while the radial grain runs perpendicular to the length of the board.
What is the Longitudinal Grain?The longitudinal grain, also known as the "edge grain," runs parallel to the length of the board.
This grain is created by the growth rings of the tree, which are formed by the tree's annual growth.
When a tree is cut down and milled into lumber, the edge grain is exposed on the edges of the board. This grain is typically considered to be the strongest and most stable of the two grains.
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disc type parking brake mechanically applies the brake pads againts the disc rotor when the actuating lever causes the check balls to ride up the ball ramp
Answers
Disc-type automotive braking systems mechanically apply the brake pads against the disc rotor when the actuator causes the control balls to move up the ball ramp.
Automotive disc braking systems are a safe and reliable form of braking. They are designed to stop the vehicle quickly and safely. These braking systems work by applying pressure from the brake discs to the brake discs mounted on the wheel axle.
This in turn causes the discs to press against the brake calipers, which in turn are applied to the discs. This action results in safe and reliable braking.
These braking systems also have a mechanical parking function, which is activated by the actuator lever. When the lever is activated, the control balls are moved up the ball ramp, which causes the brake discs to be applied to the rotor to ensure safe braking.
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A ? is a traditional tool used to align and mark vertical points from top to bottom.
Select one:
a. compass
b. plumb bob
c. protractor
d. ruler
Answers
Answer: B, plumb bob
Explanation:
A plumb bob's main job was to establish what is true (ie vertical and perpendicular to a surface,) as well as the secondary task of marking these points.
Compasses are mainly used to draw circles, protractors are used to measure angles, and rulers are used to measuring length.
The statements below refer to the design and operation of the power sub-system on a spacecraft. Select all those statements that are correct.
Partial credit is available for each correct answer. Select only those statements you know to be correct because negative marking is applied
within this question (although it is not possible to get a negative mark for the question overall).
Radioisotope Thermoelectric Generators (RTGS) are commonly applied to earth-orbiting spacecraft to provide power for the eclipse periodwhen the solar panels are ineffective.
Jupiter is considered the approximate limit for solar-powered orbital missions; missions to planets beyond this will require Radioisotope
Thermoelectric Generators (RTGS).
When sizing solar arrays, the area required typically has to be factored up as the temperature decreases because the cells operate less
efficiently when cold.
A spacecraft designed to operate in orbit at Mars will require generally require significantly smaller solar arays than one designed for
operation at Earth.
When sizing solar arrays, the area required must be factored up to allow for the array efficiency to decrease with time due to degradation.
When sizing solar arrays, the area required typically has to be factored up as the temperature increases because the cells operate less
efficiently when warm.
Radioisotope Thermoelectric Generators (RTGS) have many moving parts, which limits their reliability for long-duration missions.
For a spacecraft in planetary orbit, power for the eclipse period is commonly provided by a battery as a secondary power source, and an
increased solar array area to give extra power to charge the batteries whilst not in eclipse.
Answers
The statements below that refer to the design and operation of the power sub-system on a spacecraft is option
Radioisotope Thermoelectric Generators (RTGS) are commonly applied to earth-orbiting spacecraft to provide power for the eclipse period when the solar panels are ineffective.Jupiter is considered the approximate limit for solar-powered orbital missions; missions to planets beyond this will require Radioisotope Thermoelectric Generators (RTGS).A spacecraft designed to operate in orbit at Mars will require generally require significantly smaller solar arrays than one designed for operation at Earth. This is because Mars is farther from the sun than Earth, so it receives less sunlight. A smaller solar array is needed to generate the same amount of power as a larger array would at Earth because of the decreased amount of sunlight.When sizing solar arrays, the area required must be factored up to allow for the array efficiency to decrease with time due to degradation.7. For a spacecraft in planetary orbit, power for the eclipse period is commonly provided by a battery as a secondary power source, and an increased solar array area to give extra power to charge the batteries whilst not in eclipse.
Why is the above statement correct?Radioisotope Thermoelectric Generators (RTGS) are commonly applied to earth-orbiting spacecraft to provide power for the eclipse period when the solar panels are ineffective.
This is because RTGS use the heat generated by the decay of a radioactive material to generate electricity, which allows them to continue to produce power even when the solar panels are not receiving sunlight.
Therefore, Jupiter is considered the approximate limit for solar-powered orbital missions; missions to planets beyond this will require Radioisotope Thermoelectric Generators (RTGS). This is because as you move farther away from the sun, the amount of sunlight received by the solar panels decreases, making it difficult to generate enough power to operate the spacecraft. RTGS are a more reliable power source for missions to these outer planets because they do not rely on sunlight to generate power.
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Why is it critical for the upper and lower end sections of an engine to work perfectly together
Answers
Answer:
It is critical for the upper and lower end sections of an engine to work perfectly together because they are responsible for converting fuel into motion, which is necessary for the engine to operate effectively.
The upper end section of an engine includes the cylinder head and valves, which are responsible for controlling the flow of fuel and air into the engine. The lower end section of an engine includes the crankshaft, connecting rod, and pistons, which are responsible for converting the fuel's energy into rotational motion.
If the upper and lower end sections of an engine are not working perfectly together, it can lead to a variety of problems, including reduced engine performance, reduced fuel efficiency, and increased emissions. It is therefore critical for the upper and lower end sections to be carefully designed and calibrated to work together seamlessly in order to ensure the optimal performance of the engine.
For gas piping other than black or galvanized steel installed in a concealed location, a shield plate shall be provided for protection against physical damage where a bored hole is located a maximum of ________ from the edge of the wood member.
Answers
For gas piping other than black or galvanized steel installed in a concealed location, where a bored hole is located a maximum of 1/2 inch from the edge of the wood member.
What is galvanized steel?
Galvanized steel is a type of steel that has been treated with a layer of zinc oxide to protect it from corrosion. This layer is bonded to the steel so that it will not flake or peel off. Galvanized steel is often used in the construction industry because it is highly resistant to rust and other forms of corrosion. It is also used in the automotive and appliance industries as well as in the production of water pipes, fencing, and other metal items. Galvanized steel is cost-effective and easy to maintain, making it a popular choice for many applications. It is also environmentally friendly since it does not require the use of chemicals or paints. Galvanized steel is a durable and versatile material that is essential for many projects.
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The power supply of a 3phase induction motor is 40kw and the corresponding stator losses are 1.5kw. Calculate the total mechanical power developed below
Answers
Two different kinds of losses can happen in a three-phase induction motor. These losses are variable losses that are constant or fixed losses. Fixed or Constant Losses Consta.
Exactly how are stator losses determined?Stator losses, including as stator iron loss and stator copper loss, are financed in part by this power input. Rotor input is provided with the leftover power, or (input electrical power - stator losses). Thus, rotor input P2 equals Pin minus stator losses (stator copper loss and stator iron loss).
What are the induction motor's three-phase losses?Fixed losses, Copper losses, and stray losses are a few types of losses that can occur in three-phase induction motors. Core losses, bearing friction losses, brush friction losses (in wound rotor motors), and windage losses make up the majority of these losses.
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the the rectangular components of acceleration for a particle are ax = 3t and ay= (30-10t) where a is in m/ s^2 . if the particles start from rest at the origin. find the radius of curvature of the path at the instant 2 second
Answers
Answer:
i like icecream
Explanation:
Need help with Part 1 – Additional Operations I MATLAB question
Answers
gove it to me. I'll do my best
In a single-family residence, a line-voltage thermostat is primarily used to control _____.
Answers
Answer:
In a single-family residence, a line-voltage thermostat is primarily used to control heating and cooling systems.
the branch circuit conductors for a 5 hp, 230V, single-phase motor with a nameplate rating of 25 A must have an ampacity of ___________ or greater.
Answers
The branch circuit conductors for a 5 hp, 230V, single-phase motor with a nameplate rating of 25 A must have an ampacity of 30 A or greater.
What is circuit?
A circuit is an interconnection of electronic components that allows electricity, signals or data to flow from one component to another. It can be as simple as a single resistor or as complex as a microprocessor. Circuits are used to provide power to devices, control signals, process data or any combination of these. Circuits can be made from components such as resistors, capacitors, transistors, integrated circuits and microprocessors.
According to the National Electrical Code (NEC), the minimum branch circuit conductor size for a 5 hp, 230V, single-phase motor with a nameplate rating of 25 A must be sized at 30 A or greater. This is because the NEC requires a branch circuit conductor to have an ampacity at least 125% of the full-load current rating of the motor.
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A stainless steel vessel holds 5.4 liters of milk. One-third of the milk is given to a cat. After some water is added to the milk that remains, its volume becomes 1.25 as much as it was before the water was added. If one-third of this diluted milk is given to three kittens, how much milk does the vessel hold now
Answers
The vessel now holds 4.05 liters of milk, after one-third of this diluted milk is given to three kittens
A stainless steel vessel holds 5.4 liters of milk. One-third of the milk is given to a cat. After some water is added to the milk that remains, its volume becomes 1.25 as much as it was before the water was added.
Before the water was added, the vessel held 5.4 liters of milk. After one-third (1.8 liters) was given to the cat, there was 3.6 liters of milk remaining in the vessel.
After adding water, the volume of the milk increased by a factor of 1.25, so the vessel now holds 4.5 liters (3.6 x 1.25) of diluted milk. Finally, one-third (1.5 liters) of this diluted milk is given to the three kittens, leaving 4.05 liters of milk in the vessel.
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A resonant six-turn loop of closely spaced turns is operating at 50 MHz. The radius of the loop is λ/30. The radius of the wire is λ/300, its conductivity is σ = 5.7 × 107 S/m. Determine the:
a. the directivity of the antenna (in dB)
b. the radiation efficiency
c. the gain of the antenna (in dB)
Answers
a) the directivity of the antenna is evaluated to be = 1.761db
b) radiation efficiency is evaluated to be = 98.67%
c) reflection efficiency gain is evaluated to be = 68%
What is resonant?Resonance is the relatively large selective response of an object or a system to an external oscillatory force that causes it to vibrate in step or phase. First, acoustical systems like musical instruments and the human voice were studied for resonance.
The total range of resonance frequencies was discovered to be independent of mass, height, and mass-to-height ratio, ranging from 9 to 16 Hz.
Therefore, the correct options are: a) 1.761 db., b) 98.67%., c) 68%.
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Gear B supplies 15 kW of power, while gears A, C and D withdraw 6 kW, 4 kW and 5 kW, respectively. If the shaft is made of steel with the allowable shear stress of tau_allow = 75 MPa, and the relative angle of twist between any two gears cannot exceed 0.05 rad. determine the required minimum diameter d of the shaft to the nearest millimeter. The shaft is rotating at 600 rpm.
Answers
Using the formula of shear stress, the minimum required diameter is 0.81mm
What is Shear StressShear stress is a force that causes two objects to slide past each other in opposite directions. It is the force per unit area of the surface on which the force is applied. Shear stress is often caused by two objects rubbing against each other, such as a car tire sliding on the road. It can also be caused by wind, gravity, or other forces.
The shear stress on the shaft can be calculated using the formula:
τ(allow) = P/(2*π*d*J)
where P is the total power transferred by the shaft, d is the diameter of the shaft, and J is the polar moment of inertia.
J = π*d⁴/32
Substituting the given values,
τ(allow) = (15 + 6 + 4 + 5)/(2*π*d*π*d⁴/32)
d = √[32*(15 + 6 + 4 + 5)/(τ(allow)*2*π²)]
d = √[32*(30)/(75*2*π²)]
d = 0.81mm
The minimum required diameter of the shaft is 0.81 mm to the nearest millimeter.
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increasing capacity just before a bottleneck operation will improve the output of the process.
a. true
b. false
Answers
Answer: true
Explanation: I haves
TRUE OR FALSE smiles.substring(1, 5) returns "mile".
Answers
Answer: true
Explanation:
Given statement: smiles.substring(1, 5) returns "mile". This assertion absolutely is true.
How may a double be located in a string?In the try block, we transform the string to a Double using the parseDouble() method of Double to determine whether the text solely contains integers. The string isn't a number if it throws an error (such as a NumberFormatException fault), in which case numeric is set to false. It is a number if not.
How is a string defined?Similar to declaring a one-dimensional array, a string can be declared easily. size[char str name]; In the aforementioned syntax, size is used to specify the string's length, or the amount of characters it may hold. Str name is any name supplied to the string variable.
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Consider the velocity field v={−4yti+2xtj}m/s for the following parts
Answers
The velocity field isn't conservative, though.
What exactly is Velocity ?
Velocity is the direction at which an item is moving and serves as a measure of the rate at which its location is changing as seen from a particular point of view and as measured by a specific unit of time (for example, 60 km/h northbound). In kinematics, the area of classical physics that deals with the motion of bodies, speed is a basic idea.
A physical scalar quantity called velocity must have both a magnitude and a direction in order to be characterized. Speed is the scalar absolute value (intensity) of velocity; it is a coherent basic determinant whose quantity is measured in metres per second (m/s or m/s1) in the SI (measurement units).
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Tech A says that one approved way to clean dust off brakes is with compressed air. Tech B says that some auto parts may contain asbestos. Who is correct
Answers
Tech B is correct it's a verified fact that some auto parts may contain asbestos.
Do auto parts contain asbestos?
Asbestos has been used in a wide range of automotive products, including brakes, clutches, hood liners, gaskets, heat shields, and many others.
Drum and disc brakes were traditionally made with 35% to 60% asbestos. It is still legal in the United States to sell asbestos-containing auto parts, and many brake and clutch parts contain up to 35% asbestos.
Contaminated parts have been found in vehicles of all types, including cars, trucks, motorcycles, buses, trains, and military vehicles. Elevators and other types of transportation machinery also used asbestos brakes.
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Problem 9.10. Which of the following sets of values is closest to iL(0), vC(0).
Problem 9.10. Which of the following sets of values is closest to the energy stored in the capacitor and inductor (in J) at t=0-
Problem 9.10. What is the value of Vmax (integer answer required) in Volts
Problem 9.10. Which of the following is closest to the expression for vc(t) in Volts
In the cicuit of Figure P9.10, suppose ui"(1) = 10 V, R= 10 Ω, C = 0.4 mF, L = 0.25 (a) Compure 0), vo) i(0), and i1(0*)
(b) Compute the energy stored in the inductor and the capacitor at t = 0
(c) Using only energy considerations, compute the maximum value of ), t> 0 (d) Find the analytical expression for vt), and verify the maximum value of v) computed in part (c)
Answers
The energy of the magnetic and electric fields that have been stored can differ. A completely charged capacitor is linked in series with an inductor.
A passive-terminal electric device called an inductor, often referred to as a coil, choke, or reactor, stores electricity in a magnetic field when electric current passes through it. An insulated string twisted into a coil is typically included in an inductor. A passive digital component called an inductor can store electrical energy in the form of magnetic electricity. In essence, it uses a conductor that has been twisted into a coil; as electricity enters the coil from left to right, this will produce a magnetic field that rotates counter clockwise. The energy of the magnetic and electric fields that have been stored can differ.
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Based on the case, which of the following are reasons why Boeing continues to expand internationally?
Multiple Choice
access to financial capital
availability of supplies and new markets
new markets
availability of supplies
Answers
Availability of supplies and new markets are reasons why Boeing continues to expand internationally.
What is Boeing?The Boeing Company is a global multinational American company that develops, produces, and markets aircraft, helicopters, rockets, satellites, telecommunications gear, and missiles. Additional services offered by the business include leasing and product support.
According to 2020 revenue, Boeing ranks third among the world's largest defence contractors. It is also the largest exporter from the United States in terms of dollar volume. Boeing is one of the biggest aerospace manufacturers in the world.
The Dow Jones Industrial Average counts Boeing stock as a component. Delaware serves as Boeing's corporate home. In Seattle, Washington, on July 15, 1916, William Boeing established Boeing. At the beginning of August 1997, Boeing and McDonnell Douglas merged to form the current corporation.
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What is the 8-digit binary value of the last octet of the IPv4 address 172.17.10.7? O 00000111 O 01100110 O 00001111 O 00000110 Question 10 1 pts A site administrator has been told that a particular network at the site must accommodate 126 hosts. Which subnet mask would be used that contains the required number of host bits? 255.255.255.128 255.255.255.0 O 255.255.255.224 O 255.255.255.240 Question 11 1 pts In which alternative to DHCPv6 does a router dynamically provide IPv6 configuration information to hosts? O SLAAC O ARP O ICMPv6 O EU1-64
Answers
The router will be informed of the appropriate host ID by the last octet, which is the octet of the sub-net mask 255.255.255.0.
In the IPv4 component of the address, one octet is referred to as x and is a decimal value between 0 and 255. Periods are used to separate the octets. Three periods and four octets are required in the IPv4 component of the address. People may have also heard the term "octets" used to describe the four numbers that make up an IP address. The right name for the four distinct digits that make up an IP address is an octet. The third octet of sub-netting is used to specify specific sub nets of network 150.150.0.0. In the example in the image, each sub-net number has a different value in the third byte, signifying that it is a separate sub-net number.
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A flow i decribed by velocity field V=ayibxj where a = 2 (m/) and b = 1 (1/) , coordinate are meaured in meter. A) Obtain the equation for the treamline paing through the point (2,5). B) At t=2 , what are the coordinate of the particle that paed through point (0,4) at t=0. C) At t=3 , what are the coordinate of the particle that paed through point (1,4. 25) 2 econd earlier
Answers
The equation for the streamline passing through point (2,5) is y-5=b/a(x-2).
What is streamline?Streamlining is a process of simplifying or improving a process or system to increase efficiency, reduce complexity, and reduce costs. It can involve reorganizing, restructuring, rearranging, or redefining a system, procedure, or process to make it more efficient and productive.
B) At t=2, the coordinate of the particle that passed through point (0,4) at t=0 is (6,7). This is because since the velocity field is V = ayibxj, the particle will experience a displacement of 2a in the x-direction and 2b in the y-direction in the span of 2 seconds. Thus, the displacement of the particle is (2a,2b) = (4,2). Adding this to the initial position (0,4), the new position of the particle is (4,6).
C) At t=3, the coordinate of the particle that passed through point (1,4.25) 2 seconds earlier is (7.25,6.25). This is because since the velocity field is V = ayibxj, the particle will experience a displacement of 3a in the x-direction and 3b in the y-direction in the span of 3 seconds. Thus, the displacement of the particle is (3a, 3b) = (6,3). Adding this to the initial position (1,4.25), the new position of the particle is (7,7.25).
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There is a point where the streamlines, located in the boundary layer of air right next to the wings surface, will separate from the airfoil. This point is called
Answers
The point where the streamlines, located in the boundary layer of air right next to the wings surface, will separate from the airfoil is called Stall.
What is a Stall?
A stall occurs when an aerofoil's angle of attack exceeds the value that produces maximum lift as a result of airflow across it. This angle is typically around 15° and varies very little in response to the cross section of the (clean) aerofoil.
The airflow across the upper cambered surface ceases to flow smoothly and in contact with the upper surface at the stall and becomes turbulent, greatly reducing lift and increasing drag. The deployment of leading edge or trailing edge devices changes the effective configuration of a wing, which directly affects the angle of attack at which an aerofoil stalls.
All of this, however, assumes a clean wing, and for any aerofoil, contamination of the normally smooth surface by frozen deposits results in a change in the angle of attack at which a stall occurs.
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Show that the minimum cation-to-anion radius ratio for a coordination number of 6 is 0.414. [Hint: Use the NaCl rock salt crystal structure, and assume that anions and cations are just touching along cube edges and across face diagonals.
Answers
According to the question, the minimum cation-to-anion radius ratio is 8/1 = 0.414.
What is cation-to-anion radius ratio?
The cation-to-anion radius ratio is a measure of the relative sizes of cations and anions in a given compound. It is calculated by dividing the radius of the cation by the radius of the anion.
We will assume that the cation and anion are of equal size.
Let the radius of the cation and anion be r.
The distance between two adjacent cations/anions along a cube edge is 2r, so the length of the cube edge is 2r/2 = r.
The distance between two adjacent cations/anions across a cube face is sqrt(2)r, so the length of the cube face diagonal is sqrt(2)r/2 = r/sqrt(2).
The volume of the cube is (r/2)^3, so the total number of cations and anions inside the cube is (r/2)^3/(2r^3) = 1/8.
Therefore, the minimum cation-to-anion radius ratio is 8/1 = 0.414.
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Which of the following is a good technique for building safer structures in an earthquake zone? a. Place shock absorbers on the tops of buildings to add stability. b. Use wood-frame construction. c. Use unreinforced walls so the walls can sway. d. Use concrete-block construction.
Answers
The following is a good technique for building safer structures in an earthquake zone is to use concrete-block construction.
What is an earthquake zone?
An earthquake zone is an area that is prone to frequent seismic activity. These zones are commonly located near active fault lines, where the Earth's tectonic plates constantly move. Earthquakes can cause significant damage to the local area, so it is important to be aware of the potential dangers of living in a seismically active region. In order to assess the risk, geologists and seismologists will measure the frequency and intensity of past earthquakes to determine the potential hazard posed by a particular area. Earthquake zones can also be classified according to their potential for danger, with some areas having a higher risk than others. It is important to remember that earthquakes can occur anywhere and that safety precautions should always be taken when living in a seismically active region.
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A catapult has two rubber bands, each with a square cross-section with a width 4 mm and length 300 mm. In use its arms are stretched to three times their original length before release. Assume the the modulus of rubber is 10-3 GPa and that it does not change when the rubber is stretched. How much energy is stored in the catapult just before release?
Answers
The energy stored in the two rubber bands of the catapult just before release can be calculated as follows: Area of Rubber Bands = (4 mm) x (300 mm) = 1200 mm2, Modulus of Rubber = 10-3 GPa = 10,000 N/mm2 Strain = (3 x Original Length) / (Original Length) = Energy = (1200 mm2) x (10,000 N/mm2) x (3) = 36,000,000 Nmm or 36,000 J
What is energy?Energy is the capacity of a physical system to do work or produce heat. It is the fundamental source of virtually all movement and change on Earth. In physics, energy is a property of objects which can be transferred to other objects or converted into different forms. Examples of energy include light, electricity, heat, sound, and kinetic energy. Energy can be generated from a variety of sources including fossil fuels, nuclear power, and renewable sources such as wind, solar, and hydropower. Energy plays a crucial role in the economic and social development of societies, enabling the production of goods and services and the delivery of basic services such as heating, cooling, and lighting. The efficient and responsible use of energy is essential to sustainable development.
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Which of the following best describes the devices that will help prevent moisture from collecting in raceway systems?
a. Elbows
b. Integral drains
c. Strainers
d. Seal-off fittings
Answers
The best device to help prevent moisture from collecting in raceway systems is integral drains.
Integral drains are specifically designed to allow water to drain away from the system without the need for additional components. Elbows and strainers are not effective for this purpose, and seal-off fittings are primarily used for dust and debris protection.
Raceway systems are a type of electrical wiring system used to protect electrical wires and cables. They are typically used in industrial applications and are designed to be durable, reliable, and safe. Raceway systems typically consist of raceways, which are channels made of metal or plastic, and fittings, which provide a secure connection between the raceways and other components, such as switches and outlets.
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Lighting track ____ permitted to be installed within a zone extending 3 feet horizontally and 8 feet vertically from the top of a bathtub rim.
Answers
Answer:
Lighting track is not permitted to be installed within a zone extending 3 feet horizontally and 8 feet vertically from the top of a bathtub rim.
Explanation:
A 6-cm-diameter horizontal water jet having a velocity of 25 m/s strikes a vertical stationary
flat plate. The water splatters in all directions in the plane of the plate. ANALYZE the linear
momentum equation for a fixed control volume to find; the amount of force required to hold
the plate against the water stream? Take the density of water to be 1000 kg/m3
Answers
In this case, the control volume is the plate and the water jet is the system that is interacting with the plate. The density of water is given as 1000 kg/m3. The velocity of the water jet is 25 m/s and the diameter of the jet is 6 cm, which is equivalent to 0.06 m. The mass flow rate of the water jet can be calculated as follows:
Mass flow rate = Density * Velocity * Area
= 1000 kg/m^3 * 25 m/s * (3.14 * (0.06/2)^2)
= 0.11 kg/s
The momentum of the water jet is equal to the mass flow rate multiplied by the velocity of the jet. The force required to hold the plate against the water stream is equal to the rate of change of momentum of the jet.
Force = Rate of change of momentum
= Mass flow rate * Velocity
= 0.11 kg/s * 25 m/s
= 2.75 N
A force F having a magnitude of F = 165 N acts along the diagonal of the parallelepiped. Determine the moment of F about point A, using MA =rB x F and MA =rC x F.
Answers
Therefore, (-26.46i-52.92k) Nm is the answer to the presented problem of force.
What is a force, exactly?The definition of force in physics is: The push or pull on a massed object changes its velocity. An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude.
Which four primary forces are there?Any of the four fundamental forces in physics—gravitational, electromagnetic, strong, and weak—that control how things or particles interact as well as how some particles decay—is referred to as a fundamental force, also known as a fundamental interaction. These fundamental forces are the source of all known natural forces.
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