A 100-lb load is suspended by two chains in a room. The angle between each and the horizontal ceiling is 45°. What is the magnitude of the force each chain must be support?

Question

Physics

Deacon Sweeney

14 December, 22:41

A 100-lb load is suspended by two chains in a room. The angle between each and the horizontal ceiling is 45°. What is the magnitude of the force each chain must be support?

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Answers (1)

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Dillan · Answer 1

Magnitude of force on each chain = 314.58 N

Explanation:

Refer the given figure to see the arrangement.

We have Vertical force of 100 lb mass downward.

That is mass = 100 lb = 45.35 kg

Weight = 45.35 x 9.81 = 444.88 N

On resolving F, we will have 2Fcos45 in upward direction.

Equating

2Fcos45 = 444.88 N

F = 314.58 N

Magnitude of force on each chain = 314.58 N