Physics · Rotational Motion
A wheel with moment of inertia I and radius R is free to rotate about its axis. A massless string is wrapped around it and supports two masses m1 and m2 (m1 > m2) at its ends. If the system is released from rest, the angular speed of the wheel when mass m1 descends by a vertical height h is:
- 1[ (m1 - m2)gh(m1 + m2)R2 + I ]1/2
- 2[ 2(m1 - m2)gh(m1 - m2)R2 + I ]1/2
- 3[ 2(m1 + m2)gh(m1 + m2)R2 + I ]1/2
- 4[ 2(m1 - m2)gh(m1 + m2)R2 + I ]1/2✓
Correct answer
[ 2(m1 - m2)gh(m1 + m2)R2 + I ]1/2
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