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a stationary 5 kg rod AC is held against the wall by a rope and friction between

ID: 2186271 • Letter: A

Question

a stationary 5 kg rod AC is held against the wall by a rope and friction between rod and wall. The uniform rod is 1 m long, and angle = 30

(a) What is the tension in the cable?

(b) What is the force on the beam from the hinge in unit-vector notation?

a stationary 5 kg rod AC is held against the wall by a rope and friction between rod and wall. The uniform rod is 1 m long, and angle = 30 (a) What is the tension in the cable? (b) What is the force on the beam from the hinge in unit-vector notation?

Explanation / Answer

May be it helps Draw an horizontal line at the point where the cable attaches to the beam and Resolve the Tension horizontally....that gives you TCos25° Then using the Hinge, you can use Clockwise Moment = Anticlockwise moment with both forces. Moment is Force * distance perpendicular to force. This gives... TCos25° * 1.8 = 55 * 3.2 and T = (55 * 3.2)/(1.8Cos25°) = 107.9N or 110N is the TENSION. THE SECOND QUESTION IS CONFUSING TO ME.