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Consider a 648 N weight held by two cables.

The left-hand cable had tension T2 and makes

an angle of 53 degree with the ceiling.

The right-hand cable had tension T1 and

makes an angle of 40? with the ceiling.

a) What is the tension in the cable labeled

T1 slanted at an angle of 40? ?

b) What is the tension in the cable labeled T2

slanted at an angle of 53??

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The horizontal components of the two tension vectors must be equal (and opposite) for the system to be in equilibrium.

cos(40) / cos(53) = 1.2728

So, we know the ratio of the two tensions, but we do not yet know the actual values.

We know that the sum of the vertical components must add up to 645 Newtons.

The tension of T2 will be

648 / [sin(40) + sin(53) * 1.2728] =390.528 N

The tension of T1 will be

390.528 * 1.0119 = 497.064 N

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