Problem Statement: An object of mass M isconnected to an object of mass m by a massless stringresting over a massless, frictionless pulley. Mass Maccelerates on the frictionless surface to the right.Ma. Choose an appropriate coordinate system (s) and drawfree body diagram(s). Make a table of known/giveninformation and unknown/wanted information. List anyphysical assumptions you are using to solve the problem.b. Write down Newton's Second Law for both block m and block M.c. What is the acceleration constraint for the two blocks?Massless stringMassless, fric-tionless pulleymd. Find a symbolic expression for the acceleration of both blocks M and m.e. Assess the validity of your solutions in the following ways:1) Check the physical units of your expression for the acceleration for the two blocks.2) Consider the situation where m = 0. What do you expect the acceleration of blockM to be? Does your solution from part d match your expectations in this situation?Consider the situation where m >> M (mass m is many orders of magnitude greaterthan mass M). Does the resulting acceleration result make sense? Explain in words.

Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts for you. To get the remaining sub-part solved please repost the complete question and mention the sub-parts to be solved. Given that: The object of two masses is M and m. These two masses are connected by a massless string over a pulley. it is required to draw the free-body diagram, write the expression for the second law of Newton and derive the acceleration constant. (a) The free-body diagram is as: According to the diagram, There is a normal force in the upward direction on the mass M. The force due to gravity on both the mass is Mg and mg. The tension in the string is represented withT. The acceleration of the M block is towards the pully and the acceleration of the m block is downwards.(b) According to the free-body diagram; Newton's second law can be written as: Force=mass×acceleration The forces in the horizontal direction can be written as: T-Ma1=0T=Ma1 This is the required expression for mass M. now, The forces in the vertical direction can be written as: mg-T=ma2 (c) According to the figure, it can be seen that both masses are tied together with a string over a pulley. so, The acceleration of the system is the same for both masses. because of the string that joints two masses, if one of the blocks moves, the second block moves with the same magnitude. Here, Since the pulley is massless, the acceleration will be: a1=a2=a a is the acceleration constraint for the two blocks.The final answer is as: (a) The free-body diagram is as (b) The expression according to Newton's second law The forces in the horizontal direction can be written as: T-Ma1=0T=Ma1 The forces in the vertical direction can be written as: mg-T=ma2 (c) The acceleration 'a' is the same for both masses.

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Problem Statement: An object of mass M is connected to an object of mass m by a massless string resting over a massless, frictionless pulley. Mass M accelerates on the frictionless surface to the right. a. Choose an appropriate coordinate system (s) and draw free body diagram(s). Make a table of known/given information and unknown/wanted information. List any physical assumptions you are using to solve the problem. M ti h Write down Newton's Second Law for both block m and bl

Problem Statement: An object of mass M is connected to an object of mass m by a massless string resting over a massless, frictionless pulley. Mass M accelerates on the frictionless surface to the right. a. Choose an appropriate coordinate system (s) and draw free body diagram(s). Make a table of known/given information and unknown/wanted information. List any physical assumptions you are using to solve the problem. M ti h Write down Newton's Second Law for both block m and bl

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)...

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Concept explainers

Newton’s Third Law of Motion

The horse pulls the cart and the cart pulls the horse in response as per Newton third law. So the big question is, “Don’t the two forces cancel each other? How does the cart accelerate?”

Question

Problem Statement: An object of mass M is
connected to an object of mass m by a massless string
resting over a massless, frictionless pulley. Mass M
accelerates on the frictionless surface to the right.
M
a. Choose an appropriate coordinate system (s) and draw
free body diagram(s). Make a table of known/given
information and unknown/wanted information. List any
physical assumptions you are using to solve the problem.
b. Write down Newton's Second Law for both block m and block M.
c. What is the acceleration constraint for the two blocks?
Massless string
Massless, fric-
tionless pulley
m
d. Find a symbolic expression for the acceleration of both blocks M and m.
e. Assess the validity of your solutions in the following ways:
1) Check the physical units of your expression for the acceleration for the two blocks.
2) Consider the situation where m = 0. What do you expect the acceleration of block
M to be? Does your solution from part d match your expectations in this situation?
Consider the situation where m >> M (mass m is many orders of magnitude greater
than mass M). Does the resulting acceleration result make sense? Explain in words.

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