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A homogeneous flexible rope rests on a w...

A homogeneous flexible rope rests on a wedge whose side edges make angles `alpha` and `beta` with the horizontal. The central part of the rope lies on the upper rib C of the wedge. With what acceleration should the wedge be pulled to the left along the horizontal plane in order to prevent the displacement of the rope with respect to the wedge? [Consider all surfaces to be smooth]

A

Acceleration a = g `((sin alpha - sin beta)/(cos alpha - cos beta))`

B

Tension in the link-chain at C is `(ma)/2((sin alpha +beta)/(sinalpha - sin beta))`

C

Acceleration a = g `((sin alpha + sin beta)/(cos alpha + cos beta))`

D

Tension in the link-chain at C is `(ma)/2 ((sin alpha - beta)/(sin alpha - sin beta))`

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The correct Answer is:
A, B
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