A uniform metal rod, with a mass of 3.2 kg and a length of 1.2 m, is attached to

Question

A uniform metal rod, with a mass of 3.2 kg and a length of 1.2 m, is attached to a wall by a hinge at its base. A horizontal wire bolted to the wall 0.41m above the base of the rod holds the rod at an angle of 20 degrees above the horizontal. The wire is attached to the top of the rod. A. Find the tension in the wire. T=____N B. Find the horizontal component of the force exerted on the rod by the hinge. Fhor=____N C. Find the vertical component of the force exerted on the rod by the hinge. Fver=___N

Explanation / Answer

T . 0.69 = mg . 0.6 . cos 35 T = 3.3 . 9.8 . 0.6 . 0.82 / 0.69 = 23.0 N Horizontal force from hinge must be – T = – 23.0 N Vertical force must be – mg = – 3.3 . 9.8 = 32.34 N

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