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A wedge as shown in figure has a rough c...

A wedge as shown in figure has a rough curved surface of coefficient of kinetic friction `(1)/sqrt(3)` whose shape can be given by equation `y=x^(2)`, where the horizontal direction is x-axis, vertical direction as y axis and the end of surface O as origin and x `&` y are measured in meter. A small block is released, from a certain point on the surface. The maximum height of the point from where block should be released so that it does not slip.

A

`(1)/(4)m`

B

`(1)/(6)m`

C

`(1)/(12)m`

D

`(1)/(16)m`

Text Solution

Verified by Experts

The correct Answer is:
C
For no slipping `tantheta=mu=(dy)/(dx)=2x=(1)/sqrt(3)`
`rArrx=(1)/(2sqrt(3))rArry=x^(2)=(1)/(12)m`
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