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A uniform of rope length L and mass M is...

A uniform of rope length `L` and mass `M` is placed on a smooth fixed wedge as shown. Both ends of rope are at same horizontal level. The rope is initially released from rest, then the magnitude of initial acceleration of rope is.

A

zero

B

`M(cosalpha-cosbeta)g`

C

`M(tanalpha-tanbeta)g`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A

Let `L_1` and `L_2` be the portion (of length) of rope on ltbtgt Left and right surface of wedge as shown.
Magnitude of acceleration of rope
`a=((M)/(L)[L_1sinalpha-L_2sinbeta]g)/(M)=0`
`(L_1sinalpha=L_2sinbeta)`
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