A wooden wedge of mass M and inclination angle α rests on a smooth floor. A block of mass m is kept on wedge. A force P → is applied on the wedge as shown in figure, such that a block remains stationary with respect to wedge. The magnitude of force P → is

Question

A wooden wedge of mass M and inclination angle α rests on a smooth floor. A block of mass m is kept on wedge. A force P → is applied on the wedge as shown in figure, such that a block remains stationary with respect to wedge. The magnitude of force P → is, M + m g t a n α, g t a n α, m g cos ⁡ α, ( M + m ) g cosec ⁡ α

MARKS App · Accepted Answer

Since, P = ( M + m ) a Now as in free body diagram of block, m a cos ⁡ α = m g sin ⁡ α ∴ a = g sin ⁡ α cos ⁡ α = g tan ⁡ α or P = M + m g tan ⁡ α

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