In the pulley-block arrangement shown in figure , find the relation between `a_(A),a_(B)` and `a_(C)`

Options

A. (a)`a_(A) + 2a_(B) 2a_(C ) = 0`
B. (b)`a_(A) + 2a_(B) + a_(C ) = 0`
C. (c)`2a_(A) + a_(B) + a_(C ) = 0`
D. (d)`a_(A) + a_(B) + 2a_(c ) = 0`

Answer

B

Explanation

`X_(A) + 2X_(B) + X_(C )` = constant
On double differentiating with respect to time, we get, `a_(A) +`