A yo-yo consists of two identical solid cylindrical halves

PHYSICS · Subjective · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion

Problem

A yo-yo consists of two identical solid cylindrical halves, each of mass

0.25\,\text{kg}

and radius

0.035\,\text{m}

, joined by a slender axle of negligible mass and radius

0.012\,\text{m}

. A light string is wound around the axle. When the yo-yo is released from rest, it descends while unwinding without slipping. (a) Derive an expression for the magnitude of the linear acceleration

a

of the yo-yo’s center of mass in terms of

g

, the total mass

M

, the axle radius

r

, and the rim radius

R

. (b) Using your expression, calculate the numerical value of

a

for the yo-yo described.

Related theory

Moment of Inertia
Rotational Dynamics
Rotational kinematics
Rotational dynamics about a fixed axis

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