A steel beam of mass 1975 kg and length 3 m is attached to the wall with a pin that can rotate freely on its right side. A cable attached to
A steel beam of mass 1975 kg and length 3 m is attached to the wall with a pin that can rotate freely on its right side. A cable attached to the left end pulls at an angle of 60 degrees above the horizontal and holds the beam horizontal (perpendicular to the wall) in equilibrium.
a) What is the torque due to gravity about an axis containing the pin holding the beam to the wall?
b) What is the torque about the pinned end due to the contact forces between the pin and the beam?
c) In terms of the magnitude of the tension force, T, and any relevant angles, find a symbolic expression for the torque due to the tension in the cable about the axis containing the pin (make sure to include the correct sign). Your answer may contain the symbols M, L, T, g, and mathematical functions.
d) Keeping in mind that the system is in equilibrium, find the magnitude of the tension force.