Q.

For the system shown in figure, the pulleys are light and frictionless. The tension in the string will be

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a

23mgsin⁡θ

b

32mgsin⁡θ

c

12mgsin⁡θ

d

2mgsin⁡θ

answer is C.

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Detailed Solution

Let force in downward to the incline mgsin⁡θ−T=ma           T=ma    ∴    mgsin⁡θ−T    =T or         2T    =mgsin⁡θ or         T    =12mgsin⁡θ
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For the system shown in figure, the pulleys are light and frictionless. The tension in the string will be