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Q.

In the figure shown, A and B are free to move. All the surfaces are smooth. Then 0<θ<90∘

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a

the acceleration of A will be more than g sin θ

b

the acceleration of A will be less than g sin θ

c

normal force on A due to B will be more than mg cos θ

d

normal force on A due to B will be less than mg cos θ

answer is A.

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Detailed Solution

Force along inclined plane =mAgsin⁡θ+mAacos⁡θAcceleration along inclined plane =gsin⁡θ+acos⁡θSo, aA>gsin⁡θ       N=mAgcos⁡θ−mAasin⁡θ       N
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