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  4. A block of mass m, is kept on a wedge of mass M, as shown in figure such that mass m remains stationary w.r.t. wedge. The magnitude of force P is

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Q. A block of mass $m$, is kept on a wedge of mass $M$, as shown in figure such that mass $m$ remains stationary w.r.t. wedge. The magnitude of force $P$ isPhysics Question Image

Laws of Motion

Solution:

If acceleration of the system is a then $P=(M +m) a$
from the reference frame of wedge
Component of $m a$ along the inclined will be ma cos $\beta$ for the block to be in equilibrium w.r.t. wedge
$m a \cos \beta=m g \sin \beta$
$a=g \tan \beta$
hence $P=(M+ m) g \tan \beta$

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