Block B moves to the right with a constant velocity `v_(0)`. The velocity of body a relative to b is

Options

A. `(v_(0))/(2)`, towards left
B. `(v_(0))/(2)`, towards right
C. `(3v_(0))/(2)`, towards left
D. `(3v_(0))/(2)`, towards right

Answer

B

Explanation

(b) `T_(B)=3N " and " T_(A)=2N`
`therefore" " v_(A)=(T_(B))/(T_(A)).v_(B)=(3)/(2)v_(0)`(towards right)
`therefore" " v_(AB)=(3v_(0))/(2)-v_(0)=(v_(0))/(2),` towards right.
In such cases, velocity and acceleration are in the ration of tensions.