Q1. A weather vane initially at rest has a moment of inertia of 0.111 kg • m2 about its axis of rotation. A 53.0 g piece of clay is thrown at the vane and sticks to it at a point 19.5 cm from the axis. The initial velocity of the clay is 20.0 m/s, directed perpendicular to the vane. Discover an angular velocity of the weather vane just after it is struck.
Q2. The flywheel of an engine has a moment of inertia 2.50 about its rotation axis. What constant torque is required to bring it up to the angular speed of 390 in a time of 8.50, starting from rest? What is its last kinetic energy?