If all the surfaces are smooth then the value of F(in N) for which the block m remain stationary on the wedge is (g = 10
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F=(M+m)gtanθ
a= acceleration of (wedge+block) in horizontal direction
a=
M+m
F
.
Now, analyzing the block w.r.t. wedge which is a non-inertial frame of reference we'll apply pseudo force towards left to block.
Since the block is stationary w.r.t. the wedge, the forces along the incline should cancel out.
Now, writing equation of motion along the incline
macosθ=mgsinθ
a=gtanθ
F=(M+m)gtanθ
Explanation:
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