For the equilibrium problem shown below find the tension in

. For the equilibrium problem shown below, find the tension in the slanting cable. The beam is uniform density, 6 m long, weighs 100 N, and is attached to the ceiling y a pin and bracket. A force of 500 N pulls on the beam as shown.

Solution

since the system is in equilibrium net torque about hinge = 0

torque about hinge = 500 * 6 * sin(40) - 100 * 3 * sin(50) - T * 4 * sin(50)

500 * 6 * sin(40) - 100 * 3 * sin(50) - T * 4 * sin(50) = 0

tension of the cable T = 554.3247 N