(Solved): 9. A Foucault pendulum consists of a large balanced mass hanging on the end of a long wire. The pe ...

9. A Foucault pendulum consists of a large balanced mass hanging on the end of a long wire. The pendulum swings freely, so that the rotation of Earth causes the pendulum's surroundings to slowly shift position with respect to the pendulum's motion. The pendulum's apparent path during one rotation of Earth is an indication of both Earth’s rotation and the location of the pendulum on Earth's surface. At the point where a 28-kg pendulum has the greatest potential energy, the angle between the pendulum's weight and the wire is 89º. What is the wire's length if the magnitude of the torque exerted by the pendulum's weight at this position is 1.84 x 10* Nom? 10. At the moment before a diver jumps from a diving board, a force of 1.200 x 10°N is exerted on the diver at an angle of 90.0° to the board. This force produces a torque in the clockwise direction. At the same time, the diver's weight produces a torque in the counterclockwise direction The diver's mass is 60.0 kg, and the angle between the diver's weight and the board is 87.7º. If the net torque acting on the diver is 2985 N·m clockwise, what is the length of the diving board?