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debadutta mishra Grade: 11
        

A cylinder of mass M and radius R is resting on a horizontal platform(which is parallel to the x-y plane)with its axis fixed along the y axis and free to rotate about its axis. The platform is given a motion in the x direction given by x=A cos(ωt).there is no slipping between the cylinder and the platform.The max torque acting on the cylinder during its motion is?

6 years ago

Answers : (2)

Chetan Mandayam Nayakar
312 Points
										

Dear Debadutta,


acceleration a=d2x/dt2=-w2Acos(wt),lamaxl=w2A,


maximum angular acceleration=w2A/R


Torque=Iα=(MR2/2)(w2A/R)=(MRAw2/2)


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CHETAN MANDAYAM NAYAKAR

5 years ago
Ashwin Muralidharan IIT Madras
290 Points
										

Hi Debadutta,


 


The max acn of the platform would be:


2.


 


So max Torque, ζmax = A(MRω2)/2.


 


Best Regards,


Ashwin (IIT Madras).

5 years ago
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