## Related questions with answers

A $2.00 \mathrm{~kg}$ stone is tied to a thin, light wire wrapped around the outer edge of the uniform $10.0 \mathrm{~kg}$ cylindrical pulley. The inner diameter of the pulley is $60.0 \mathrm{~cm}$, while the outer diameter is $1.00 \mathrm{~m}$. The system is released from rest, and there is no friction at the axle of the pulley. Find

(a) the acceleration of the stone,

(b) the tension in the wire, and

(c) the angular acceleration of the pulley.

Solution

VerifiedIn this problem, a stone of mass $m = 2.00$ kg is tied to a light wire wrapped around a uniform cylindrical pulley. The pulley has mass $M = 10.0$ kg, inner radius $R_{1} = 0.300$ m (inner diameter of $d_{1} = 0.600$ m), and outer radius $R_{2} = 0.50$ m (outer diameter of $d_{2} = 1.00$ m). The system is released from rest. We find the acceleration of the stone, the tension in the wire, and the angular acceleration of the pulley.

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