A solid sphere of mass and radius is released from rest at the top of a fixed incline…

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

Problem

A solid sphere of mass 3.0 kg3.0\,\text{kg} and radius 0.15 m0.15\,\text{m} is released from rest at the top of a fixed incline that makes an angle of 30∘30^{\circ} with the horizontal. Assuming it rolls without slipping and neglecting air resistance, calculate the magnitude of the sphere’s translational acceleration as it moves down the incline.

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