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A mass \( m \) rests on another mass \( M \). The co-efficient of static friction between the surfaces of \( m \) and \( M \) is \( \mu . M \) rests on smooth frictionless horizontal plane. The maximum force applied horizontally on \( M \) for which \( m \) will move alongwith \( M \) without slipping is \( \quad \) [WB-JEE 2016]
(a) \( m g+\mu m g \)
(b) \( (M+m) \mu g \)
(c) \( \frac{m M}{M+m} \mu g \)
(d) \( \mu m g \)
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