Please show free body diagram a and b ### Problem StatementA block with mass \( M \) rests on a frictionless surface and is connected to a horizontal spring of force constant \( k \). The other end of the spring is attached to a wall. A second block with mass \( m \) rests on top of the first block. The coefficient of static friction between the blocks is \( \mu_s \).#### Tasks:1. **Draw a free-body diagram.**2. **Find the maximum amplitude of the oscillation such that the top block will not slip on the bottom block.**### Free-Body DiagramBelow is the description of the free-body diagram shown in the image:1. The figure depicts two blocks, one with mass \( M \) (bottom block) and one with mass \( m \) (top block).2. The bottom block \( M \) is connected to a spring with spring constant \( k \).3. The surface on which block \( M \) rests is frictionless.4. The coefficient of static friction between the blocks is denoted by \( \mu_s \).5. The top block \( m \) is subjected to frictional force due to the coefficient of static friction \( \mu_s \), preventing it from slipping off the bottom block during oscillations.### Detailed Explanation of the Diagram:- **Spring:** A horizontal spring is attached to a wall at one end and to the bottom block \( M \) at the other end. The spring is shown in a compressed or stretched state, indicating its oscillatory motion potential.- **Blocks:** The bottom block \( M \) is in direct contact with the frictionless surface, whereas the top block \( m \) is placed on the bottom block \( M \). - **Friction:** The static friction between blocks \( m \) and \( M \) is represented by \( \mu_s \), preventing the top block from slipping when oscillated horizontally.### Mathematical Formulation#### (a) Free-Body Diagram:- **For the top block (m):** - Weight (\( mg \)) acts downward. - Normal force (\( N \)) acts upward. - Frictional force (\( f = \mu_s \cdot N \)) acts horizontally to the left or right, opposing motion relative to the bottom block.- **For the bottom block (M):** - Weight (\( Mg \)) and the normal reaction from

Name: Please show free body diagram a and b ### Problem StatementA block wit
Uploaded: 2024-03-20T06:58:04.000Z
Channel: Bartleby
Description: Please show free body diagram a and b ### Problem StatementA block with mass \( M \) rests on a frictionless surface and is connected to a horizontal spring of force constant \( k \). The other end of the spring is attached to a wall. A second block

Answered: Image /qna-images/answer/07ec1e66-ba58-4972-a1f5-4d508a70d73a.jpg

Science

Physics

(hw) A block with mass M rests on a frictionless surface and is connected to a horizontal spring of force constant k. The other end of the spring is attached to a wall. A second block with mass m rests on top of the first of the first block. There coefficient of static friction between the blocks is Ms (a) Draw free-body diagram. (b) Find the maximum amplitude of the oscillation such that the top block will not slip on the bottom block. m kummimmi M M

(hw) A block with mass M rests on a frictionless surface and is connected to a horizontal spring of force constant k. The other end of the spring is attached to a wall. A second block with mass m rests on top of the first of the first block. There coefficient of static friction between the blocks is Ms (a) Draw free-body diagram. (b) Find the maximum amplitude of the oscillation such that the top block will not slip on the bottom block. m kummimmi M M

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

Similar questions

Two blocks are connected by a massless rope. The rope passes over an ideal (frictionless and massless) pulley such that one block with mass m1 = 12.25 kg is on a horizontal table and the other block with mass m2 = 7.5 kg hangs vertically. Both blocks experience gravity and the tension force, T. Use the coordinate system specified in the diagram. a.) Assuming friction forces are negligible, write an expression, using only the variables provided, for the acceleration that the block of mass m1 experiences in the x-direction. Your answer should involve the tension, T. b.) Under the same assumptions, write an expression for the acceleration, a2, the block of mass m2 experiences in the y-direction. Your answer should be in terms of the tension, T and m2. c.) Carefully consider how the accelerations a1 and a2 are related. Solve for the magnitude of the acceleration, a1, of the block of mass m1, in meters per square second. d.)Find the magnitude of the tension in the rope, T, in newtons.
Also draw the free body diagram for Block A and Block B
Set up the free-body diagram and equations for Newton's 2nd law for each object along each axis. Assume friction is present between all surfaces and the coefficient of friction is different between the different surfaces. (Note you should have 2 free body diagrams) A B Horizontal table Pull
In , the man has a mass of 65 kg and the crate has a mass of 110 kg. The coefficient of static friction between his shoes and the ground is μs = 0.4 and between the crate and the ground is μc = 0.3. A) Determine if the man is able to move the crate using the rope-and-pulley system shown. B) Prove your answer to part A by calculating the static frictional force F�between the man's shoes and the ground required to move the crate and the maximum static frictional force Fmax which can be developed. Express your answers in newtons to three significant figures separated by a com_ma.
In the arrangement shown in the figure wedge of mass m moves towards the left with an acceleration a. All surfaces are smooth (i.e. frictionless). Draw a free body diagram. If the block falls freely then determine acceleration. Starting position Position at time t
Consider the system in the picture below: a cart of mass M with a static friction coefficient u is connected through a massless string to a hanging mass m. M is a capital letter, m is lower case. Write them as such, or vour equations will be confusing, M We want to find the maximum value of the hanging mass m such that the system is in equilibrium. 1. Free body diagram (FBD): Draw a FBD for each: the Cart and the hanging mass. Clearly show all the forces. 2. Clearly write the equilibrium equations for the cart in the horizontal and vertical direction. 3. Clearly write the equilibrium equation for the hanging mass. 4. Solve the system of the three equations above for the hanging mass m. Show your calculation to get credit. 5. What would happen if mass m exceeds this value? Explain.
Crate A hangs from a cable C and rests against the wall, so that the cable makes an angle with the wall. Draw a complete free-body diagram of crate A. Include labeledangle(s), in terms of ?, for any force(s) that are at an angle (not purely horizontal or vertical).
could you solve this using forces and free body diagrams please?
Can you please answer this
An object is sliding down an incline as shown. a. Sketch the FBD of the box. b. State the action/reaction force pair for each force on your diagram.
Blocks A, B and C are placed as shown in the figure below and connected by non-stretching ropes of negligible mass. Both A and B weigh 25.0 N each, and the coefficient of kinetic friction between each block an the surface is 0.35. Block C descends with constant velocity. a). Draw three separate free body diagrams showing the forces acting on A, B and C. b). Find the tension in the rope connecting blocks A and B. c). What is the weight of block C? d). If the rope connecting A and B were cut, what would be the acceleration of C? B C A 36.9° 2012 Pearson Education, Inc.