A construction worker is holding a uniform thin rod (m = 35 kg , L = 8 m) above her head. There is a hinge on the left end of the rod, which connects to the wall. This way, it can be supported by the worker, but it is also free the rotate about the hinge if it is not supported. She is holding the rod 6 meters from its pivot point and directly applying a vertical force on the rod, as shown below.