Q1. A uniform beam 3.10 meters long has a weight of 245N. It is supported on its left end by a cable. A 500 N weight is located on the beam the distance of 1.07 meter from the left end. You supply the force to the right end of the beam so that the beam is in equilibrium in the horizontal position (see sketch). What are the tension in cable, T, and the upward force, F, you have to apply to the beam?
Q2. A floodlight with a mass of 46.00 kg is used to clarify the parking lot in front of a library. The floodlight is supported at the end of horizontal beam that is hinged to a vertical pole. A cable that makes an angle of 29 degrees with the beam is attached to the pole to help support the floodlight. Find the following, assuming the mass of the beam is negligible while compared with the mass of the floodlight:
a. force provided by the cable
b. horizontal and vertical forces exerted on the beam by the pole