Physics

Physics

Problem

A rigid body of mass mm and radius rr has rotational inertia I=kmr2I = k m r^{2}, where kk is a dimensionless constant that depends on the object’s shape. The body is released from rest on a plane inclined at an angle θ\theta to the horizontal and rolls without slipping. Derive an expression for the magnitude of its translational acceleration in terms of gg, θ\theta, and kk.

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