Question

A uniform beam, 2.00 m long with a mass of 20.0 kg, is mounted to a...

A uniform beam, 2.00 m long with a mass of 20.0 kg, is mounted to a wall with a hinge. The beam is held out horizontally by a steel cable, 5 mm in diameter, that makes a 30-degree angle with the beam. The beam will hold up a sign that will hang off its end. See the diagram below

A.Using a safety factor of 5, what is the maximum tension the steel cable can provide?

B.Given the free-body diagram as shown, which is the correct equation to sum the forces in the y-direction?

C.Given the free-body diagram as shown, which is the correct equation to sum the forces in the x-direction?

D.Given the free-body diagram as shown, which is the correct equation to sum the torques about the hinge?

E. Given your answer to Part A, use one or more of the sum of forces/torque equations to find the largest mass, M, sign that could be supported.

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