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?
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
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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)...
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1b4e0e24-259c-41af-bcba-d1366b63ab00%2Facbafd97-e9cd-44bd-9119-e1f74468271f%2Fwo8x6t_processed.png&w=3840&q=75)
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.
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