1. If a mass of 220 kg acts downward 0.5 m from the axis of rotation (location of the fulcrum) on one end of a board. On the other side of the board, a mass of 90kg also acts downward, what is the moment arm (with respect to the fulcrum) of the second force to balance this system (in m)?
2. A 60kg woman dives from a 18m cliff. What is her velocity 6m into the dive (in m/s)? Assume no external forces are applied during diving.
3. The moment of inertia of an object is 5.5 kgm2. It is moving at an initial angular velocity of 10 rad/s. If the object's velocity increases to 60 rad/s, what is the angular impulse exerted on the system?