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A light string has its ends tied to two walls separated by a distance equal to...

A light string has its ends tied to two walls separated by a distance equal to three-fifths the length of the string as shown in the figure. An 18 kg mass is suspended from the center of the string, applying a tension in the string. What is the tension in the two strings of length L 2 tied to the wall? The acceleration of gravity is 9.8 m/s 2 . Answer in units of N

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Answer #1

theta = arccos[(3L/10) / (L/2)]

theta = 53.13o

The vertical components of the tension (two strings) = the weight of the block.

2*T*sin(53.13) = (18)(9.8)

T = 110.25 N

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