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 $$_______cm$$.

Question

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 $$_______cm$$.

Infinity Learn · Accepted Answer

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≤$$25cm$$

Friction

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Friction

Remember concepts with our Masterclasses.

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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free study material