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Physics · LAWS OF MOTION
हिन्दीA block of mass \( m = 4\text{ kg} \) rests on a rough horizontal surface with coefficient of static friction \( \mu_s = 0.5 \). A light string connected to the block passes over a smooth frictionless pulley and supports a hanging block of mass \( m_0 \). What is the maximum value of \( m_0 \) for which the system remains at rest?
Correct answer · Option 1
\( 2\text{ kg} \)
Explanation
For equilibrium, tension \( T = m_0 g \). Maximum static friction force \( f_{s,\text{max}} = \mu_s m g = 0.5 \times 4 \times g = 2g \). For no motion, \( T \le f_{s,\text{max}} \Rightarrow m_0 g \le 2g \Rightarrow m_0 \le 2\text{ kg} \).
