APFIVE Rotational Dynamics of a Pulley System
A system consists of two masses, $$m_1$$ and $$m_2$$, connected by a light string that passes over a pulley of moment of inertia $$I$$ and radius $$R$$. The masses hang on either side such that $$m_1 > m_2$$, and the string does not slip on the pulley. Which statement correctly describes the pulley’s angular acceleration?
A
Angular acceleration is proportional to $$\frac{(m_1-m_2)gR}{I + (m_1 + m_2)R^2}$$
B
Angular velocity remains constant
C
Angular acceleration is proportional to $$\frac{(m_1+m_2)gR}{I}$$
D
Angular acceleration is zero regardless of mass values
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