InterviewSolution
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InterviewSolution
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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 (omega t).` There is no slipping between the cylinder and platform. The maximum torque acting on the cylinder during its motion is .................. |
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Answer» `x=A cosomegat` `implies(dx)/(dt)=-Aomegacosomegat` `implies (d^(2)x)/(dt)=-Aomegacosomegat` `:. |"max acceleration"|=Aomega^(2)` `:. alpha_("max")=(Aomega^(2))/R` Max torque`= Ialpha_("max")` `=1/2MR^(2)xx(Aomega^(2))/R=1/2MRAomega^(2)` |
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