1.

A block of mass m is placed on a surface with a vertical cross section given by y =(x^(3))/(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 :

Answer»

`(1)/(2)m`
`(1)/(6)m`
`(2)/(3)m`
`(1)/(3)m`

Solution :Here there are six FACES
`:. y =(x^(3))/(6)`(vol. of one)
At the POINT of just SLIDING `MG SIN theta = umg cos theta`
`tan theta=mu,(dy)/(dx) = tan theta=mu=(1)/(2), (x^(2))/(2) =(1)/(2),.y =(x^(3))/(6)`
m.
`:.y=1//6m`


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