The factor of safety using the Coulomb-Mohr theory, for the state of plane stress (a) σx = 12 kpsi, σy = 0 kpsi, τxy = –8 kpsi is 0.389, and (b) σx = -10 kpsi, σy = 15 kpsi, τxy = 10 kpsi is 0.136
Sut = 36 kpsi, Suc = 35 kpsi, εf = 0.045
(a) σx = 12 kpsi, σy = 0 kpsi, τxy = –8 kpsi
The maximum and minimum principal stresses are given by:
[tex]\sigma_1 = \frac{{\sigma_x + \sigma_y}}{2} + \sqrt{\left(\frac{{\sigma_x - \sigma_y}}{2}\right)^2 + \tau_{xy}^2}[/tex]
[tex]\sigma_2 = \frac{{\sigma_x + \sigma_y}}{2} - \sqrt{\left(\frac{{\sigma_x - \sigma_y}}{2}\right)^2 + \tau_{xy}^2}[/tex]
Substituting the values, we get:
σ1 = 14 kpsi, σ2 = -2 kpsi
The factor of safety based on the Coulomb-Mohr theory is given by:
[tex]FS = \left(\frac{\sigma_1}{S_{ut}}\right) + \left(\frac{\sigma_2}{S_{uc}}\right)[/tex]
Substituting the values, we get:
FS = (14/36) + (-2/35)
FS = 0.389
(b) σx = -10 kpsi, σy = 15 kpsi, τxy = 10 kpsi
The maximum and minimum principal stresses are given by:
[tex]\sigma_1 = \frac{{\sigma_x + \sigma_y}}{2} + \sqrt{\left(\frac{{\sigma_x - \sigma_y}}{2}\right)^2 + \tau_{xy}^2}\\[/tex]
[tex]\sigma_2 = \frac{{\sigma_x + \sigma_y}}{2} - \sqrt{\left(\frac{{\sigma_x - \sigma_y}}{2}\right)^2 + \tau_{xy}^2}[/tex]
Substituting the values, we get:
σ1 = 23 kpsi, σ2 = -18 kpsi
The factor of safety based on the Coulomb-Mohr theory is given by:
[tex]FS = \left(\frac{\sigma_1}{S_{ut}}\right) + \left(\frac{\sigma_2}{S_{uc}}\right)[/tex]
Substituting the values, we get:
FS = (23/36) + (-18/35)
FS = 0.136
Therefore, the factor of safety at the optimum solution for (a) is 0.389 and for (b) is 0.136.
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Given the following situation of marble in motion on rolling 10 m/s horizontally from a height of 1.5-m with negligible friction.
a.) Once the ball leaves the table, calculate how long it will take for the ball to hit the floor?
b.) How far will the ball travel horizontally before hitting the floor?
Answer:
The ball would hit the floor approximately [tex]0.55\; \rm s[/tex] after leaving the table.
The ball would travel approximately [tex]5.5\; \rm m[/tex] horizontally after leaving the table.
(Assumption: [tex]g = 9.81\; \rm m \cdot s^{-2}[/tex].)
Explanation:
Let [tex]\Delta h[/tex] denote the change to the height of the ball. Let [tex]t[/tex] denote the time (in seconds) it took for the ball to hit the floor after leaving the table. Let [tex]v_0(\text{vertical})[/tex] denote the initial vertical velocity of this ball.
If the air resistance on this ball is indeed negligible:[tex]\displaystyle \Delta h = -\frac{1}{2}\, g\, t^{2} + v_0(\text{vertical}) \cdot t[/tex].
The ball was initially travelling horizontally. In other words, before leaving the table, the vertical velocity of the ball was [tex]v_0(\text{vertical}) = 0 \; \rm m \cdot s^{-1}[/tex].
The height of the table was [tex]1.5\; \rm m[/tex]. Therefore, after hitting the floor, the ball would be [tex]1.5\; \rm m \![/tex] below where it was before leaving the table. Hence, [tex]\Delta h = -1.5\;\rm m[/tex].
The equation becomes:
[tex]\displaystyle -1.5 = -\frac{9.81}{2} \, t^{2}[/tex].
Solve for [tex]t[/tex]:
[tex]\displaystyle t = \sqrt{1.5 \times \frac{2}{9.81}} \approx 0.55[/tex].
In other words, it would take approximately [tex]0.55\; \rm s[/tex] for the ball to hit the floor after leaving the table.
Since the air resistance on the ball is negligible, the horizontal velocity of this ball would be constant (at [tex]v(\text{horizontal}) =10\; \rm m \cdot s^{-1}[/tex]) until the ball hits the floor.
The ball was in the air for approximately [tex]t = 0.55\; \rm s[/tex] and would have travelled approximately [tex]v(\text{horizontal})\cdot t \approx 5.5\;\rm m[/tex] horizontally during the flight.
Importance of Forest
Answer:
to help keep fresh air
Explanation:
plzz helpppp meee!!!!
A farmer cannot get his cow to move without help. The cow has a mass of 425 kg. He returns with some neighbors, and they are able to exert a net force of 900 N on the cow. What is its acceleration?
Answer:
hhh
Explanation:
how do I write an essay on how I feel about online school
Answer:
Some students appreciated the social aspect of Zoom classrooms, while others felt online education worked best for them when they were working on their own. ... Students said they appreciated having a well-planned work week and didn't appreciate “surprise” assignments online any more than they appreciate them in class
Explanation:
What's I know I said
What do you u write it
What is the kinetic energy of a 5kg ball that is rolling 3m/s?
Answer:
22.5
Explanation:
As the mass is 5 kg,velocity is 3m/s so the derivation use for kinetic energy is 1÷2 mv*2 . By this derivation we will find out the kinetic energy
What determines a wave’s velocity? a The number of waves per a period of time. b The amplitude of the wave. c The medium it travels through. d How much constructive interference there is.
Answer:
A
Explanation:
I'm pretty sure that this answer is correct please let me know!
Electrical energy in motion is what type of energy ?
Answer:
kinetic energy
Explanation:
Electrical energy is a type of kinetic energy caused by moving electric charges. The amount of energy depends on the speed of the charges – the faster they move, the more electrical energy they carry.
someone please helppp
okay, so what i have learned from my experiences with doing school on e.d.g.e.n.u.i.t.y (they won't let me say the website name on here lol) is that after you write an extended response, they show you a sample response as well as these checkboxes which show things they wanted you to have included in your answer. ideally they want you to select all of them, meaning that all of those elements were included in your answer. it's not a matter or right or wrong; none of those checkboxes contain a wrong answer. you just select the ones that apply to your answer, and you won't get penalized if you don't select all of the checkboxes. you don't even have to select any of them. there's been times where my answer has been not at all what it should've been and i just click done without checking any of those boxes because i did not include any of those elements in my response. as long as the box that you wrote your answer in is outlined in green (which yours is, and that means that the computer likes your answer), you will be fine.
i hope this makes sense! it's sort of hard to explain. if you have any questions, just comment and i'll try my best to explain better lol. have a great rest of your day! <3
which is not a cinstellation?
Answer:
The Big Dipper
Explanation:
A rock with a mass of 80grams dropped into a graduated cylinder with 30 ml of water in it the readingof water became 70 ml what is the density of the rock
Explanation:
[tex]b = m \div v \\ 80 \div 30 \times 10 { -}^{2} [/tex]
How are the sun and Earth's moon different?(2 points)
The sun is a ball of gases that revolves around Earth, while the moon is the center of the solar system,
The sun is a ball of rock and gas, while the moon is a ball of rock that revolves around the sun.
The sun is the center of the solar system, while the moon is a ball of rock that revolves around Earth
The moon is the center of the solar system, while the sun is the center of the Milky Way.
Answer: The Sun measures 1.4 million km across, while the Moon is a mere 3,474 km across. In other words, the Sun is roughly 400 times larger than the Moon. But the Sun also happens to be 400 times further away than the Moon, and this has created an amazing coincidence.
Explanation:
This tasty snack starts as a kernel and is “popped” then
covered in salt, butter, caramel, peanuts, you name it.
Through thermal energy we've learned to heat things, you
could use conduction, convection and/or radiation. Describe
1 cooking option in detail including whether it is convection,
conduction or radiation. Must be at least 2 sentences.
Complete the sentence. Friction always ____________
a. helps the motion
b. opposes the motion
c. both of these
d. none of these
Answer:
B- Opposes the motion
Explanation:
When two object touches each other. friction acts in a opposite direction to the motion of the object
A magnetic field is formed when electric charges move. When the electric charges stop moving, the magnetic field (which was formed by the moving charges) ceases to exist. True or False
True
Explanation:
when electrons stop.moving it cause a stoppage
in formation of magnetic field
i hope.it helps u
the organelles are giving their job description to you can you identify which organelle are they? write your answers in your answer sheet.
1. Hi! My responsibility is to add stability and protection to plant cells. What am I?
2. Hi! produce proteins inside the cell. What am I ?
3. Hello! I have a green pigment called the clorophyll. I also absorb solar energy to do the process of photosynthesis. What am I?
4. Good morning po! my work is to store food materials and excretes waste materials. I take a large space on plants. I make the leaves of plants fresh. what am i?
5. Hi! All organelles are embedded in me. I am a "jelly- like" substance. What am I?
Please real answer
1. cell wall?
2. ribosomes?
3. chloroplast
4. vacuoles
5. cytoplasm
please please help!!!!!
A rocket at rest with a mass of 942 kg is acted on by an average net force of 6,731 N upwards for 21 s. What is the final velocity of the rocket?
Answer:
Final velocity, V = 150.15 m/s
Explanation:
Given the following data;
Mass = 942kg
Net force = 6,731N
Time = 21secs
To find the final velocity of the rocket;
First of all, we would determine the acceleration of the rocket with respect to time.
Force = mass * acceleration
Substituting into the equation, we have;
6,731 = 942*acceleration
Acceleration = 6731/942
Acceleration = 7.15m/s²
Now, to find the final velocity we would use the first equation of motion.
V = U + at
Since the rocket started from rest, its initial velocity (U) is zero.
V = 0 + 7.15*21
Final velocity, V = 150.15 m/s
How does the composition of a comet compare with that of the Sun?
Both objects are composed of gas.
Both objects contain a form of water.
Comets are made of ice and dust, while the Sun is made of gas.
Comets are made of frozen rock, while the Sun is made of burning rock.
Answer:
C
Explanation:
The composition of a comet compared with that of the Sun is C "Comets are made of ice and dust, while the Sun is made of gas".
What are comets?Comets are small, icy bodies that originate from the outer solar system and are composed mainly of frozen water, carbon dioxide, methane, and ammonia, along with dust and small rocky particles. When a comet approaches the Sun, its icy material vaporizes, creating a glowing coma (a hazy atmosphere around the nucleus) and a tail that points away from the Sun due to the solar wind.
On the other hand, the Sun is a giant ball of hot, glowing gas, composed mainly of hydrogen (about 73% of its mass) and helium (about 25% of its mass), with trace amounts of other elements like oxygen, carbon, and iron. The Sun generates energy through nuclear fusion reactions in its core, which convert hydrogen into helium and release a tremendous amount of energy in the process.
Therefore, the composition of a comet is quite different from that of the Sun. While both objects contain some water (in the form of ice for comets and vapor for the Sun), comets are predominantly made of ice and dust, while the Sun is predominantly made of gas, with only a small amount of solid material in its core.
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percent of Earth's surface is made up of Oxygen.
a) 30
b) 46
c) 62
Answer: it's made up about 21% so if you do not have this option I say go with 30
Explanation:
can you suggest improvement that can be made towards the design of siphon so that the transfer of liquid is much higher.
Answer:
A siphon is a tube that makes use of the potential energy of fluid at an elevated level to transfer the fluid to a lower level, due to pressure differences between the inlet and the outlet points of the tube, such that the pressure at the outlet is higher than the pressure at the inlet
The pressure energy is converted into velocity (kinetic) energy, and therefore, in other to increase the flow rate through the tube of a siphon, with constant diameter, the level of the fluid in the container at the inlet (supply) of the siphon is raised higher than the level at the outlet receiving) container or the outlet point of the siphon tube
The larger the difference between the inlet and outlet levels, the faster the transfer of fluid by the siphon
Explanation:
What is the direction of the current in the loop as the north pole of the magnet is pulled away (to the right) from the loop of wire. Answer as you face the loop from the magnet.
Answer:
Explanation:
Applying Fleming's right hand rule, the induced current would flow in a clockwise direction in the loop. Explanation: Current, magnetic field and motion are mutually dependent and perpendicular to one another.Aug 27, 2019
Which of the following have the most GPE. 1.) a car at the top of a hill 2.) a car at the bottom of the hill 3.) a car half way down the hill 4.) on the straight part of the track. (I don't know how to give Brainly)
Answer: car at the top of a hill
Explanation:
A force of 10 N acts to the left and a force of 5 N acts to the right on an object of mass 1 kg. If its initial speed is zero , what is its velocity after 1 second ?
Answer: -5 m/s
Explanation:
First find the net force by summing up the forces:
-10N + 5N = -5N
Use Newton's Second Law of motion to solve for the acceleration:
F = ma
-5N = 1kg(a)
a = -5 m/s^2
Use the first kinematic equation to solve for the final velocity:
Vf = Vi + at
Vf = 0 + (-5)(1)
Vf = -5 m/s
A plane has a take off speed of 1 point
300 km/h. What is the
acceleration in m/s2 of the
plane if the plane started from
rest and took 45 seconds to
take off? *
Answer:
Acceleration = 1.85m/s²
Explanation:
Given the following data;
Final velocity = 300km/h to m/s = 300*1000/3600 = 83.33m/s
Time = 45 seconds
Since the plane started from rest, initial velocity is equal to 0m/s.
To find the acceleration;
In physics, acceleration can be defined as the rate of change of the velocity of an object with respect to time.
This simply means that, acceleration is given by the subtraction of initial velocity from the final velocity all over time.
Mathematically, acceleration is given by the equation;
[tex]Acceleration (a) = \frac{final \; velocity - initial \; velocity}{time}[/tex]
Where,
a is acceleration measured in [tex]ms^{-2}[/tex]
v and u is final and initial velocity respectively, measured in [tex]ms^{-1}[/tex]
t is time measured in seconds.
Substituting into the equation, we have;
Acceleration = (83.33 - 0)/45
Acceleration = 83.33/45
Acceleration = 1.85m/s²
Therefore, the acceleration of the plane is 1.85m/s².
solve: A car travels 2 km North , 10 km East, then 3 km West. pythagorean theorem
________b_____ 7 km east
|
| 2km north.
|a
|
°
pythagorean theorem : ✓a² + b² = c²
c² = a² + b² = 4 + 49 = 53
c = ✓53 km
displacement = c = ✓53 km
distance = 10 + 3 + 2 = 15 km
the force required to lift a load of 800 Newton by using a Lever having a mechanical advantage of 1.6 is
Answer:force required to lift the load = 500N
Explanation:
Mechanical advantage for a lever is given by the formulae
= force output/force input
or
Mechanical Advantage = Load / Effort
where
Force output / Load= 800 N
mechanical advantage = 1.6
Force input / Effort =??
Force input= Force output /Mechanical advantage
= 800N / 1.6
=500N
OR
Effort = Load/ Mechanical Advantage = 800/ 1.6 = 500N
A tractor pulls a 1,000 kg wagon with a force of 4,000N. What is the wagon’s acceleration in m/s2? *
Answer:
4m/s^2
Explanation:
acceleration=force/mass
therefore a=4000/1000
=4m/s^2
what are common in the pictures?
Answer:
the flowers the left have them on there heads the middle on there chest and the right one has them on there shoulders
Help please if u don’t know one don’t answer it but do the most that u can
(2) 120 * 0.4 = 48 W
(3) 500 / 2 = 250 V
(4) 1000 / 300 = 3.3 A
(5) 700/3 = 233.3 V
(6) 1600 / 240 = 6.7 A
(7) 160 / 2 = 80 V
(8) 120 * 6 = 720 W
(9) 1000 / 240 = 4.17 A
Power (watts) = electric potential difference(volts) * intensity(amps)
Pls , give me Brainliest pls pls pls pls
Answer:
1. 1689 v 259 v p＝v 1* + 8.3 answer 2090
How many total molecules are present in the formula below
2H2O
I'm guessing 6.
the coefficient of two turns our hydrogen into 4 and our oxygen into 2 which makes a total of 6 molecules.