A smooth wedge is pulled to the right with an acceleration of 10 m / s 2 . It is seen that the block of mass 1kg reaches the top starting from bottom at rest in 1 sec. If the incline makes an angle of

Question

A smooth wedge is pulled to the right with an acceleration of 10 m / s 2 . It is seen that the block of mass 1kg reaches the top starting from bottom at rest in 1 sec. If the incline makes an angle of 37 degrees with the horizontal, what is the length of the inclined surface (in m).

TestHub · Accepted Answer

In the wedge's frame, a pseudo force m × 10 acts opposite to the wedge's acceleration Acceleration of the block up the incline: a ′ = 10 cos 3 7 ∘ − 10 sin 3 7 ∘ = 8 − 6 = 2 m/s 2 L = 2 1 ​ a ′ t 2 = 2 1 ​ × 2 × 1 2 = 1 m

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