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06 Dec

Ceiling Loudspeaker

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Ceiling Loudspeaker
What is the tension in each of the cables?

A 21.0 kg loudspeaker is suspended 1.80 m below the ceiling by two 2.50 m long cables that angle outward at equal angles.

What is the tension in each of the cables?

I've tried it, and keep getting the wrong answer. HELP!!

From Newton's 2nd Law of Motion, F = ma = 0
since it is in equilibrium

and since the angle made by the cables are congruent we can suggest that it is 45 degrees

The tension for both the rope is the same

T1 = mgcos(45)
= 9.8m/s^2(21.0kg) cos(45)
T2 = 9.8 m/s^2 (21.0kg) cos(45)

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