Question

Wire 4) (20 points) A weight W is supported by attaching it to a vertical uniform metal pole by a thing cord passing over a pulley having negligible mass and friction. The cord is attached to the pole 40.0 cm below the top and pulls horizontal on it. The pole is pivoted at a hinge at its base, is 1.60 m tall, and weighs 50.0 N. A thin wire connects the top of the pole to a vertical wire. The nail that holds this wire to the wall will pull out if the tension in the wire is greater than 35.0 N. (a) What is the greatest weight W that can be supported this way without pulling out the nail? (b) What is the magnitude of the horizontal components of the force that the hinge exerts on the pole? Hinge

Answer 1

T Cos 53 yoom -0.4m 370 To = mg =w (T2) max = BEN. Ti should be equal to Torque Torque due to due to Tz. Torque due tot = T x 1.2 - (Wx12) Nim C2 $530 1.6 Torque due to = 35 * Cos 53° x 1.6 = (33-70) N.m C = C2 Wmax x 1.2 = 33.70 33-70 Wmax - 3 2.8.08 N 1:2 (6 Horizontal force = 0.

No horizontal force will be exerted on the pole by the hinge. No components of force is present.