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In fig, the acceleration of A is vec(a)(...

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)

A

`6hat(i)`

B

`-15hat(i)`

C

`-10hat(i)`

D

`-5hat(i)`

Text Solution

Verified by Experts

The correct Answer is:
D
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)`
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