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In the arrangement shown in figure, if t...

In the arrangement shown in figure, if the acceleration of B is `overline(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, acceleration of B is represented by `vec(AB)` while its horizontal and vertical components are show by AO and OB, respectively. Acceleration of A is represented by `vec(AC) = vec(OA) + vec(OC) = a (sin alpha cot theta + cos alpha)`
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