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Question

A flexible chain of weight W hangs between two fixed points A and B at the same level. The inclination of the chain with the horizontal at the two points of support is θ. What is the tension of the chain at the endpoint?
1031226_23095761c620484aa29163a57dff898a.png

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Solution

See the free body diagram with the tensions at one

end (T1) and at the center of the chain (T2).

Balance the forces to get the answer.

T2 = T1 * Coseθ

T1 = M2 * g * Sinθ

So T2=Mg2Coteθ.

1108443_1031226_ans_95c48d9bdf2f4c8e98d58bff7a2908bf.png

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