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Answered: - Due March 28th 8:00 am. The problem is about rolling the


Due March 28th 8:00 am. The problem is about rolling the cylinder. I tried to search answer online but there are several different ones so I don't know which one is correct.?



Name:

 

G MWF 8:30 am

 


 

G WF 12pm

 


 

PHYS 151 - Written Homework #7

 

Due: March 28, 2016

 

Slipping and Rolling ? A string is wrapped around a solid

 

cylinder of mass M and radius R and pulls horizontally with force

 

T from the top of the cylinder. The horizontal surface on which

 

the cylinder rests is frictionless.

 

a. (2 pts) What is the acceleration of the center of mass of the

 

cylinder?

 


 

b. (4 pts) What is the angular acceleration of the cylinder about its center of mass?

 


 

c. (4 pts) What is the velocity (magnitude and direction) of the point on the cylinder which

 

touches the horizontal surface? Make sure your answer is dimensionally correct.

 


 

Now we?re going to change the problem and give the surface on which the cylinder rests a nonzero coefficient of static friction, :S.

 

d. (6 pts) Assuming that the cylinder now rolls without slipping, what is the acceleration of its

 

center of mass?

 


 

e. (4 pts) For a given coefficient of static friction, :S, what is the largest acceleration of the

 

center of mass which can be achieved without the cylinder slipping against the surface?

 


 

 


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