A uniform horizontal beam long and weighing is hinged to a wall at one end

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Torque and Rotational Dynamics · Torque and Rotational Dynamics

Problem

A uniform horizontal beam 4 m4\,\text{m} long and weighing 400 N400\,\text{N} is hinged to a wall at one end. The beam is supported by a light cable attached to its free end and making an angle of 60∘60^{\circ} above the beam. Assuming equilibrium, determine the tension in the cable and the magnitude of the resultant force exerted by the hinge on the beam. (a) T=400 N,  R=207 NT = 400\,\text{N},\; R = 207\,\text{N} (b) T=230 N,  R=231 NT = 230\,\text{N},\; R = 231\,\text{N} (c) T=231 N,  R=346 NT = 231\,\text{N},\; R = 346\,\text{N} (d) T=462 N,  R=231 NT = 462\,\text{N},\; R = 231\,\text{N}

Related theory

Browse the problem library