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A 120--wide sign hangs from a 5.3 , 200--long pole. A cable of negligible mass supports the end...

A 120--wide sign hangs from a 5.3 , 200--long pole. A cable of negligible mass supports the end of the rod as shown in the figure .What is the maximum mass of the signif the maximum tension in the cable without breaking is 340 ?
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Answer #1
find the vertical upward mass exerted by the rope

Tan Ø = 250/200
Ø = 51.3deg

upward mass = 340 sin 51.3 / 9.8 = 29.82kg
(note: it is easier to convert this load to a mass, than convert other masses to Force then convert the final answer back to mass)

take moments around the pivot point on the all

5.3 x 1 + M x 1.4 = 29.82 x 2

5.3 x 1 + M x 1.4 = 59.64

1.4M=54.34

M=38.81 kg
answered by: Keyanna
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