A weightless inextensible rope rests on a stationary wedge forming an angle `alpha` with a horizontal One end of the rope is fixed to the wall to point A.A small load is attached to the rope at point `B` The wedge starts moving to the right with a constant acceleration a The acceleration of the load is given by
.

Options

A. `a`
B. `2a sin(.^(alpha)//_(2))`
C. `a sin alpha`
D. `sin(.^(alpha)//_(2))`

Answer

B

Explanation

Resultant acc. of `B`
`=sqrt(a^(2)+a^(2)+2aacos(180-alpha))=2asin(alpha//2)`
.