In fig, the acceleration of A is `vec(a)_(A)=15hat(i)+15hat(j)`. Then the acceleration of B is (A remains in constact with B)

Options

A. `6hat(i)`
B. `-15hat(i)`
C. `-10hat(i)`
D. `-5hat(i)`

Answer

D

Explanation

From constraint the acceleration of both block and wedge should be same in a direction perpendicular to the inclined plane as shown in fig.
`(a_A)_(_|_)=(a_B)_(_|_)`
`a_(AX)=15, a_(AY)=15`
`a_(AX) cos 53^(@) - a_(AY) cos 37^(@)=a_(B)cos 53^(@)`
or `a_(B)=-5ms^(-1) or vec(a)_(B)=-5 hat(i)`