Question

Figure shows two blocks P of mass m and Q of mass M on a horizontal surface. There is no friction at all .A horizontal force F is applied to prevent P from slipping on the inclined plane. The value of F is :

Answer 1

Answer:

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Answer 2

The required value of force is $g(m +M) tan$θ.

Explanation:

• We know that acceleration of the masses in horizontal direction is $= \frac{F}{m + M}$

• When there is no slipping, the acceleration of both the masses will be equal.
• For stationary condition, $F_{p} cos$θ $= mgsin$θ,  where $F_{p}$ is pseudo force

        $mFcos$ θ$/(m + M)$ = $mg sin$θ

        $F = g(m + M) tan$θ

Hence, the value of the force is $g(m +M) tan$θ.