A disc of radius R and mass M is rolling horizontally without slipping with speed v. It then moves up an inclined smooth surface as shown in figure. The maximum height that the disc can go up the incline is:
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Question

A disc of radius R and mass M is rolling horizontally without slipping with speed v. It then moves up an inclined smooth surface as shown in figure. The maximum height that the disc can go up the incline is:

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G1 Physics · Accepted Answer

Image On the smooth incline, there is no frictional torque on the disc. Therefore, rotational kinetic energy remains unchanged and only translational kinetic energy converts into gravitational potential energy. ½Mv² = Mgh Hence, h = v²/(2g)