question_answer

A plate of mass (M) is placed on a horizontal frictionless surface and a body of mass (m) is placed on this plate. The coefficient of dynamic friction between this body and the plate is \[\mu \]. If a force \[3\mu mg\] is applied to the body of mass (m) along the horizontal, the acceleration of the plate will be

A)  \[\frac{\mu m}{M}g\]                     

B)  \[\frac{\mu mg}{M+m}\]

C)  \[\frac{3\mu mg}{M}\]                

D)  \[\frac{2\mu mg}{M+m}\]

Correct Answer: A

Solution :

 \[a=\frac{\mu mg}{M}\]