A solid cylinder of mass and radius starts from rest at the top of a high ramp and…

PHYSICS · Subjective · AP · Physics 1: Algebra-based · Energy and Momentum of Rotating Systems · Energy and Momentum of Rotating Systems

Problem

A solid cylinder of mass

3.0\,\text{kg}

and radius

0.15\,\text{m}

starts from rest at the top of a

2.0\,\text{m}

high ramp and rolls without slipping to the bottom. Determine the linear speed of the cylinder’s center of mass at the bottom. (Moment of inertia of a solid cylinder:

I=\tfrac12 MR^{2}

Related theory

Law of Conservation of Energy
Rolling Motion
Conservation of energy; conservative and non-conservative forces
Work, Energy and Power
Conservation of mechanical energy

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