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Block B has mass m and is released from rest when it is on top of wedge A, which has a mass 3m. Determine the tension in cord CD needed to hold the wedge from moving while B is sliding down A. Neglect friction.

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a

2mgcos⁡θ

b

mg2cos⁡θ

c

mg2sin⁡2θ

d

mgsin⁡2θ

answer is C.

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Detailed Solution

T=N⋅sin⁡θ and N=mgcos⁡θT=mgcos⁡θsin⁡θ=mg2sin⁡2θ

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Block B has mass m and is released from rest when it is on top of wedge A, which has a mass 3m. Determine the tension in cord CD needed to hold the wedge from moving while B is sliding down A. Neglect friction.