Consider a wedge rod system in which rod of length L is moving vertcially downwards without tilting with constant speed v. The sitatuin at `t = 0` is shown in the figure. The surface of the wedge is parabolic and has an equation `y = x^(2)`. Find the speed of wedge at `t = 0`. (Assume that the contact between the rod and wedge is not lost).

Options

A. `(v)/(L)`
B. `(v)/(2L)`
C. `(2v)/(L)`
D. `v`

Answer

B

Explanation

`(dy)/(dt) = 2x (dx)/(dt)`
`rArr (dx)/(dt) = (v)/(2x)`
at `t = 0 " " v_(omega) = (v)/(2L)`