A 375-G Stone Hangs from a Thin Light String That $0.0125 \mathrm {~kg} \cdot \mathrm { m } ^ { 2 }$

Short Answer

A 375-g stone hangs from a thin light string that is wrapped around the circumference of a frictionless pulley with a moment of inertia of $0.0125 \mathrm {~kg} \cdot \mathrm { m } ^ { 2 }$ and a radius of 26 cm. When the stone is released, the stone accelerates downward and the pulley rotates about its axis as the string unwinds.
(a) What is the magnitude of the acceleration of the stone?
(b) What is the tension in the string?