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Q.

An inclined plane is bent in such a way that the vertical cross–section is given by y=x24  , where y is in vertical and x in horizontal direction. If the upper surface of this curved plane is rough with coefficient of friction μ=0.5, the maximum height in cm at which a stationary block will not slip downward is _______cm.

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answer is 25.

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Detailed Solution

For object not to slip, μ≥tan⁡θ⇒0.5≥dydx⇒0.5≥2x4⇒0.5≥x2⇒x≤1⇒4y≤1⇒2y≤1⇒y≤14m⇒y≤25cm
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