Energy Loss From Sliding to Rolling
A solid cylinder of mass M and radius R slides on a horizontal surface, initially with translational speed v₀ and no rotation. The coefficient of kinetic friction is μₖ. Determine the total mechanical energy dissipated by friction as the cylinder transitions to rolling without slipping.
A
½Mv₀²(1/2)
B
½Mv₀²(2/3)
C
½Mv₀²(1/4)
D
½Mv₀²(1/3)
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