The document describes calculating the forces on an object hanging from a hinge. It finds the catching force to be 42 N by setting up a torque equilibrium ratio using the object's weight, distance from the hinge, and distance below the hinge. It then uses vertical force equilibrium to find the hinge force is 66 N by subtracting the catching force from the object's weight.

1. 58. (a) Setting up equilibrium of torques leads to a simple “level principle” ratio:
(91/2 − 10) cm
Fcatch = (11 kg)(9.8 m/s2 ) = 42 N .
91 cm
(b) Then, equilibrium of vertical forces provides
Fhinge = (11 kg)(9.8 m/s2 ) − Fcatch = 66 N .