A solid uniform sphere and a thin-walled, hollow spherehave the same mass M and radius R. If they roll without slipping upa ramp that is inclined at an angle b above the horizontal and if bothhave the same vcm before they start up the incline, calculate the maximumheight above their starting point reached by each object. Whichobject reaches the greater height, or do both of them reach the sameheight?

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A solid uniform sphere and a thin-walled, hollow sphere
have the same mass M and radius R. If they roll without slipping up
a ramp that is inclined at an angle b above the horizontal and if both
have the same vcm before they start up the incline, calculate the maximum
height above their starting point reached by each object. Which
object reaches the greater height, or do both of them reach the same
height?

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