Two identical, uniform beams weighing 260 N each are connected at one end by a frictionless hinge. A light horizontal crossbar attached at the midpoints of the beams maintains an angle of 53.0° between the beams. The beams are suspended from the ceiling by vertical wires such that they form a “V” (?Fig. P11.76?). (a) What force does the crossbar exert on each beam? (b) Is the crossbar under tension or compression? (c) What force (magnitude and direction) does the hinge at point A exert on each beam?

Solution to 80P Step 1 of 5 Introduction Two beams are supported by the ceiling using two identical massless wire. A crossbar is attached at the middle of the beam so that the angle between the beams is 53 and it is in the shape of V. The system is in equilibrium. We need to find the force that is acting on the crossbar and the force at the point of contact of two beams. To solve this question, we will use the concept of equilibrium of forces and moments. Step 2 of 5 Freebody diagram The crossbar is attached at the middle of the beam. The centre of gravity lies at the centre. Two reaction forces namely, R and Q is acting at one end of the beam in upward direction. Step 3 of 5 Since the system is in equilibrium, the net torque and force acting at the crossbar point of contact will be zero. .....................................................................(1) The net force is also zero, .......................................................................(2) Putting (2) in equation (1) . R=260N Q=260N