A solid sphere of radius R is pulled by a force T acting at the top of the sphere . The sphere is in pure rolling. what is the work done by the force when the centre of mass moves by a distance 'd'?

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Answer 1 · 2018-01-25T15:46:34

The work is #=(Td)J#

The work done is

#"Work"="Torque"xx "Angle "#

#W=tauxxtheta#

If the center moves by #d#

Then,

#d=Rxxtheta#

#=>#, #theta=d/R#

The torque about the center of the sphere is

#tau=Txx R#

Therefore,

#W=TRxx(d/R)=Td J#