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NISA [10]
3 years ago
13

A 40 lb box is suspended from two ropes which each make an angle of 45 degrees with the vertical. What is the tension (in pounds

) on each rope?
Physics
1 answer:
givi [52]3 years ago
3 0

Answer:

The tension on each rope is 28.28 lb

Explanation:

Given that,

Weight = 40 lb

Angle = 45°

We need to calculate the tension on each rope

Considering the symmetry of the system, the tension of each rope must be same

So,

T\sin\theta+T\sin\theta=mg

Put the value into the formula

2T\sin\theta=mg

T\times\sin45=\dfrac{40}{2}

T=\dfrac{40\sqrt{2}}{2}

T=28.28\ lb

Hence, The tension on each rope is 28.28 lb.

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