A businessman hangs a signs outside his store as shown. The sign has a mass of 5

Question

A businessman hangs a signs outside his store as shown. The sign has a mass of 50kg, and is connected to the beam at its lower left corner by a hinge that would rotate about that point. What must the tension in the wire be to support the sign?

A 346 N
B 260 N
C 490 N
D 87 N
E 173 N

A businessman hangs a signs outside his store as shown. The sign has a mass of 50kg, and is connected to the beam at its lower left corner by a hinge that would rotate about that point. What must the tension in the wire be to support the sign? 346 N 260 N 490 N 87 N 173 N

Explanation / Answer

W.r.t hinge, net moment = 0

So, 50*9.8 * 1/2 = T*sqrt(2)

T = 346 N

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