Under the action of force P, the constant acceleration of block B is `3 ms^(-2)` to the right. At the instant when the velocity of B is `2 ms^(-1)` to the right, determine the velocity of B relative to A, the acceleration of B relative to A and the absolute velocity of point C of the cable.

Options

A. 2
B. 1
C. 3
D. 4

Answer

B

Explanation

`-3TV_(B)+4TV_(A)=0, V_(A)=3/4V_(B)=3/2`
`(V_(B)+V_(C))/2=V_(A),V_(C)=2V_(A)-V_(B),V_(C)=3-2=1`