1. An object of mass M is attached to another object of mass m by a massless string. Mass M slides on the frictionless surface. Massless string M Massless, fric- tionless pulley m a. Draw a free body diagram for both objects. (Hint: it may be useful to draw the coordinate system for block m such that it is rotated so that the motion in the positive x-direction is consistent between the two free-body diagrams.) b. Write down Newton's Second Law for block m. c. Write down Newton's Second law for block M. Are the objects constrained to have the same acceleration?

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)...
icon
Related questions
Topic Video
Question

Solve part a,b and c

**Written Homework 6**

1. An object of mass \(M\) is attached to another object of mass \(m\) by a massless string. Mass \(M\) slides on the frictionless surface.

*[Diagram Description:*
The image shows a horizontal surface with a block of mass \(M\) on the left side. A string extends from this block over a massless, frictionless pulley at the edge of the surface. The string then hangs vertically down, connected to a block of mass \(m\), which is hanging freely.]*

a. Draw a free body diagram for both objects. (*Hint: it may be useful to draw the coordinate system for block \(m\) such that it is rotated so that the motion in the positive \(x\)-direction is consistent between the two free-body diagrams.*)

b. Write down Newton’s Second Law for block \(m\).

c. Write down Newton’s Second Law for block \(M\). Are the objects constrained to have the same acceleration?

d. Find an expression for the tension in the rope.

e. Do you have the correct units? Consider the situation where \(m = 0\). Consider the situation where \(m \gg M\). Does your result make sense? Explain.
Transcribed Image Text:**Written Homework 6** 1. An object of mass \(M\) is attached to another object of mass \(m\) by a massless string. Mass \(M\) slides on the frictionless surface. *[Diagram Description:* The image shows a horizontal surface with a block of mass \(M\) on the left side. A string extends from this block over a massless, frictionless pulley at the edge of the surface. The string then hangs vertically down, connected to a block of mass \(m\), which is hanging freely.]* a. Draw a free body diagram for both objects. (*Hint: it may be useful to draw the coordinate system for block \(m\) such that it is rotated so that the motion in the positive \(x\)-direction is consistent between the two free-body diagrams.*) b. Write down Newton’s Second Law for block \(m\). c. Write down Newton’s Second Law for block \(M\). Are the objects constrained to have the same acceleration? d. Find an expression for the tension in the rope. e. Do you have the correct units? Consider the situation where \(m = 0\). Consider the situation where \(m \gg M\). Does your result make sense? Explain.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Second law of motion
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.
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON