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Q.

A block of mass m is placed on a surface with a vertical cross-section given by y = x3/6. If the coefficient of friction is 0.5, the maximum height above the ground at which the block can be placed without slipping is

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a

23m

b

12m

c

13m

d

16m

answer is A.

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Detailed Solution

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tan⁡θ=dydx=dx36dx=x22μ=tan⁡θ0.5=x22⇒x=1y=(1)26

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