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In the arrangement shown in fig., if the...

In the arrangement shown in fig., if the acceleration of B is `vec(a)`. Then find the acceleration of A.

A

`a sin alpha`

B

`a cot theta`

C

`a tan theta`

D

`a(sin alpha cot theta+cos alpha)`

Text Solution

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The correct Answer is:
D
Direction of acceleration of B is along the fixed incline. And that of A is along horizontal towards left. From diagram, accelerations of B is represented by `vec(AB)` while its horizontal and vertical components are shown by AO and OB, respectively. Acceleration of A is represented by `vec(AC)`.
`vec(AC)=a(sin alpha cot theta+cos alpha)`.
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