### Physics Problem: Inclined Plane with Pulley SystemYou've been asked for your expert opinion about the following system. They’ve told you that $ m_1 = 21.0 \, \text{kg} $, $ m_2 = 32.1 \, \text{kg} $, $ \mu_s = 0.234 $, $ \mu_k = 0.111 $, the angle of the ramp is 44.4° with respect to the horizontal, the string is massless and taut, and the pulley is massless and frictionless.The following diagram represents the physical setup:![Inclined Plane with Pulley System](image)Here, $ m_1 $ is hanging vertically connected over a pulley to $ m_2 $, which is on an inclined plane. The angle $ \theta $ of the incline is 44.4°.**Questions:**1. **Draw the Free Body Diagram (FBD) of $ m_1 $, $ m_2 $, and $ m_{system} $ if $ m_2 $ accelerates (a) up the ramp or (b) down the ramp.**2. **Does the system accelerate and if so, calculate the magnitude of the acceleration. Defend your answer.****Diagram Explanation:**The diagram represents a classic physics problem involving an inclined plane and a pulley system. - $ m_2 $ is located on the inclined plane shown by a rectangular block. - $ m_1 $ is hanging vertically connected by a string over a frictionless, massless pulley. - The angle $ \theta $ of the inclined plane with the horizontal is marked as 44.4°. - The forces acting on $ m_2 $ include gravitational force, normal force, frictional force, and tension in the string.- The forces acting on $ m_1 $ are gravitational force and tension in the string. **Step-by-Step Solution Outline:**1. **Free Body Diagram (FBD):** - For mass $ m_1 $: - Tension $ T $ upward - Gravitational force $ m_1g $ downward - For mass $ m_2 $: - Normal force $ N $ perpendicular (90°) to the incline - Gravitational force components:

Answered: Image /qna-images/answer/228aa11b-fa0e-466a-a886-1f73190d40d2.jpg

You've been asked for your expert opinion about the following system. They've told you that m¡ = 21.0 kg, m2 = 32.1 kg, µs = 0.234, µk = 0.111, the angle of the ramp is 44.4° with respsect to the horizontal, the string is massless and taut, and the pulley is massless and frictionless. M2 1. Draw the Free Body Diagram (FBD) of mi, m2, and msystem if m2 accelerates (a) up the ramp or (b) down the ramp. 2. Does the system accelerate and if so, calculate the magnitude of the acceleration. Defend your answer.

You've been asked for your expert opinion about the following system. They've told you that m¡ = 21.0 kg, m2 = 32.1 kg, µs = 0.234, µk = 0.111, the angle of the ramp is 44.4° with respsect to the horizontal, the string is massless and taut, and the pulley is massless and frictionless. M2 1. Draw the Free Body Diagram (FBD) of mi, m2, and msystem if m2 accelerates (a) up the ramp or (b) down the ramp. 2. Does the system accelerate and if so, calculate the magnitude of the acceleration. Defend your answer.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: The three diagrams below show a block of mass m being pulled or pushed at constant acceleration ax…

Q: A factory worker pushes horizontally to the right on a 250 Ncrate with a force of P = 75.0 N on a…

A: Approach to solving the question:Free body diagram conceptDetailed explanation:

Q: F e. A block with a mass of 25.5 kg is moving at constant velocity because a force of 138 N is…

Q: A chair of mass 10.5 kg is sitting on the horizontal floor, the floor is not frictionless. You push…

Q: A 560 N physics student stands on a bathroom scale in an elevator that is supported by a cable. The…

Q: Three forces given by F, = (6î + 2)N,F2 = ( î – 3j)N, and F3 = (3 f)N, act on an object to give it…

Q: An apparatus is constructed such that a box with a mass of 5.00 kg resting on a table is attached to…

A: The free-body diagram of the hanging mass is shown below. Here, T denotes the tension and a denotes…

Q: M1=4 kg and m2=7 kg. The system accelerates with a magnitude .89 m/s^2. The coefficient of kinetic…

Q: Block A (1 kg) sits on block B (2 kg), which rests on a table. The coefficients of friction between…

Q: a. Calculate the coefficient of kinetic friction between block A and the tabletop. b. A cat, also of…

A: Given diagram,

Q: A picture of mass m = 11 kg is hung on a wall from a hook with a piece of wire. The picture hangs…

Q: Two blocks are connected by a string. The inclination of the ramp is θ, while the masses of the…

Q: A person lying in a bunk bed pushes a 5 kg block across the ceiling. He uses a force P of magnitude…

A: Solution: Given Values, Mass(m)=5 KgForce (P)= 80 NAngle (θ)=700Coefficient of kinetic friction(…

Q: The century-old ascensores in Valparaiso, Chile, are small cable cars that go up and down the steep…

Q: MI M2 In the system shown above, the block of mass M1 is on a rough horizontal table. The string…

A: Solution attached in the photo

Q: Ex. M₁ no friction ideal Pulley a) Find tension in each string. b) Find acceleration. of each mass.…

A: Tension is defined as a force along the length of a medium, which is carried by a flexible medium,…

Q: A 100 kg man swings from a 10.0 m long rope. The man starts from rest at position A and the rope…

Q: Two boxes, A and B, are connected to each end of a light vertical rope, as shown in the following…

Q: What is the magnitude of the Force of Tension? S m₁= 0.55 kg c The figure below shows two blocks m₁…

Q: A loudspeaker of mass 20.0 kg is suspended a distance of h= 1.00 m below the ceiling by two cables…

Q: A 24 kg box is tied to a 14 kg box with a horizontal rope. The coefficient of friction between the…

A: In this question we are given that a 24 kg box is tied to a 14 kg box with a horizontal rope. The…

Q: Item 19 If a car stops suddenly, you feel "thrown forward." We'd like to understand what happens to…

Q: A worker moves a 20-kg crate on a level surface by pulling on the free end of a light, uniform cable…

A: Mass of the crate, m = 20 kgtension in the cable, T = 200 Nacting at an angle θ = 30° (above the…

Q: Two blocks of mass m = 15 kg and mg = 10 kg are connected by a massless string that passes over a…

Q: In the figure below, the net external force on the 28 kg mower is given as 52 N. If the force of…

A: Mass of mower (m) = 28 kg Net external force on the mover (Fnet) = 52 N Force of friction (f) = 10 N…

Q: a Cable 1 Cable 2- m

A: mass = m = 12 kg = 140 35 0

Q: You want to move a heavy box with mass 30.0 kg across a carpeted floor. You pull hard on one of the…

Q: You need to push a couch 4 m to the other side of the room. After the initial push to get it going…

Q: I Review Part A Find the tension in the string connecting mj and m2. Assume the table is…

A: The acceleration of the three mass of the system is, Substitute the values,

Question

### Physics Problem: Inclined Plane with Pulley System

You've been asked for your expert opinion about the following system. They’ve told you that $ m_1 = 21.0 \, \text{kg} $, $ m_2 = 32.1 \, \text{kg} $, $ \mu_s = 0.234 $, $ \mu_k = 0.111 $, the angle of the ramp is 44.4° with respect to the horizontal, the string is massless and taut, and the pulley is massless and frictionless.

The following diagram represents the physical setup:

![Inclined Plane with Pulley System](image)

Here, $ m_1 $ is hanging vertically connected over a pulley to $ m_2 $, which is on an inclined plane. The angle $ \theta $ of the incline is 44.4°.

**Questions:**

1. **Draw the Free Body Diagram (FBD) of $ m_1 $, $ m_2 $, and $ m_{system} $ if $ m_2 $ accelerates (a) up the ramp or (b) down the ramp.**

2. **Does the system accelerate and if so, calculate the magnitude of the acceleration. Defend your answer.**

**Diagram Explanation:**

The diagram represents a classic physics problem involving an inclined plane and a pulley system.

- $ m_2 $ is located on the inclined plane shown by a rectangular block.
- $ m_1 $ is hanging vertically connected by a string over a frictionless, massless pulley.
- The angle $ \theta $ of the inclined plane with the horizontal is marked as 44.4°.
- The forces acting on $ m_2 $ include gravitational force, normal force, frictional force, and tension in the string.
- The forces acting on $ m_1 $ are gravitational force and tension in the string.

**Step-by-Step Solution Outline:**

1. **Free Body Diagram (FBD):**

- For mass $ m_1 $:
- Tension $ T $ upward
- Gravitational force $ m_1g $ downward

- For mass $ m_2 $:
- Normal force $ N $ perpendicular (90°) to the incline
- Gravitational force components:

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Consider a setup with a horizontal table, two masses, a string, and a massless, frictionless pulley. Assume the masses are m1=1.8 kg and m2= 1.2kg. Also, assume that uk=0.20 and us=0.30. The masses are released from rest. a. I claim that there is a sufficient net force to get the system sliding. Do a calculation to show that I am right. Include some written explanation to justify your calculation. b. If m2 starts from rest at 0.50 m above the ground, how long does it take to hit the ground?
If the magnitudes of the forces are F1 = 52.5 N and F2 = 22.0 N, what are the magnitude (in m/s2) and direction of the acceleration of the block? Let m = 8.00 kg and ? = 45.0°. magnitude 40.94 Incorrect: Your answer is incorrect. What is the net force in the horizontal direction? What is the net force in the vertical direction? Is there any motion in the vertical direction? m/s2 direction toward the right Correct: Your answer is correct.
Two packing crates of masses m1 = 10.0 kg and m2 = 6.00 kg are connected by a light string that passes over a frictionless pulley as in the figure below. The 6.00 kg crate lies on a smooth incline of angle 39.0°. Find the acceleration of the 6.00 kg crate. m/s2 (up the incline)Find the tension in the string. N
solve the problem shown in the image:
Find the magnitude of tension in the two cords shown in the figure (Figure 1). Figure 0 m Ⓒ 1 of 1 Part A Neglect the mass of the cords, and assume that the angle is 36.0° and the mass m is 200 kg. What is the magnitude of the tension in the right cord (the horizontal one)? Use g = 9.81 m/s². Fin right cord Submit ▾ Part B What is the magnitude of the tension in the left cord? Fin left cord Submit for Part A for Part A undo for Part A redo for Part A reset for Part A keyboard shortcuts for Part A help for Part A Request Answer Provide Feedback for Part B for Part B undo for Part B redo for Part B reset for Part B keyboard shortcuts for Part B help for Part B Request Answer N Constants N Next >
The block of mass m = 10.2 kg shown in the figure (Figure 1) is held in place by the force applied to a massless rope passing over two massless, frictionless pulleys. Figure T₂ T₁ 772 T4 Ts TE 1 of 1 Find the tensions T₁ to T and the magnitude of force F. Enter your answers in newtons separated by commas. 17 ΑΣΦΑ T1, T2, T3, T4, T5, F = Submit Previous Answers Request Answer X Incorrect; Try Again Provide Feedback ? N
A large box of mass M is pulled across a horizontal, frictionless surface by a horizontal rope with tension T. A small box of mass m sits on top of the large box. The coefficients of static and kinetic friction between the two boxes are μs and μk, respectively. ▼ Part A Find an expression for the maximum tension Imax for which the small box rides on top of the large box without slipping. Express your answer in terms of the variables M, m, μs, and appropriate constants. VE ΑΣΦ T = Submit Previous Answers Request Answer ?
W S Sand X 1. Two known forces F₁ = 3.85 N at 78.0° below the positive x-axis and F₂ = 3.25 N at 35.0° above the negative x-axis are acting on an object. What is the magnitude of the third force F3 so that the acceleration of the object is zero? N 3 2. A person stands on a bathroom scale in a motionless elevator. When the elevator begins to move, the scale briefly f the person's regular weight Calculate the magnitude of the acceleration of the elevator reads 1 38 E D C $ 4 SER R F 5 V B T MacBook Air Y B H 8 N J 9 DD M MOSISO command
Plz use g = 9.8 m/s2
The m = 8.40 kg block in the figure(Figure 1) is held in place by the massless rope passing over two massless, frictionless pulleys. Figure T₂ TA T m T3 Ts F 1 of 1 Part A Find the tensions T₁ to T and the magnitude of force F. Enter your answers numerically separated by commas. 15| ΑΣΦ T1, T2, T3, T4, T5, F= 82.32,41.16 Your submission doesn't have the correct number of answers. Answers should be separated with a comma. No credit lost. Try again. Submit Previous Answers Request Answer Provide Feedback P Pearson ? N Next >
Part A Make a free-body diagram of the box B. Draw the force vectors with their tails at the dot. Part B Make a free-body diagram of the box A. Draw the force vectors with their tails at the dot.
A mass m= 10 kg is tied to two ropes making an angle a=50° and B-70° with the vertical. The strings are connected by pulleys to two masses m₁ and m₂. a. Determine the value of the masses m1 and m2, so that the box m is in equilibrium. b. Determine the value of the tensions in the strings.