A 20 kg mass and a 30 kg mass are suspended from either end of a 5 meter long bar (assume the bar has no mass). You want to tie a rope (indicated by the dotted line) somewhere along the bar in order to hold up the bar and keep it balanced.
a. Around the pivot point of the rope, what is the direction of the torque exerted by the 20 kg mass?
b. Around the pivot point of the rope, what is the direction of the torque exerted by the 30 kg mass?
c. What is the tension in the rope? (i.e., what is the force the rope must exert?)
d. What is the distance of the rope from the 30 kg mass?