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A bead of mass m is located on a parabol...


A bead of mass m is located on a parabolic wire with its axis vertical and vertex directed towards downwards as in figure and whose equation is `x^2=ay`. If the coefficient of friction is `mu`, the highest distance above the x-axis at which the particle will be in equilibrium is

A

`mu a`

B

`mu^(2) a`

C

`(1)/(4) mu^(2) a`

D

`(1)/(2) mu a`

Text Solution

Verified by Experts

The correct Answer is:
C
Sliding does not occur when `tan theta le mu`
`tan theta = (dy)/(dx) = (2x)/(a) = (2sqrt(ya))/(a) = 2 sqrt((y)/(a))` `:. 2 sqrt((Y)/(a)) le nu` `y le (a mu^(2))/(4)`
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