Q1. A motorcycle has a constant speed of 29.0 m/s as it passes over the top of a hill whose radius of curvature is 117 m. The mass of the motorcycle and driver is 325 kg.
(a) Find out the magnitude of the centripetal force that acts on the cycle.
(b) Find out the magnitude of the normal force that acts on the cycle.
Q2. A spacecraft is in empty space. It carries on board a gyroscope with a moment of inertia of Ig = 18.5 kg•m2 about the axis of the gyroscope. The moment of inertia of the spacecraft around the same axis is 5.00 x105 kg•m2.Neither neither the spacecraft nor the gyroscope is at first rotating. The gyroscope can be powered up in a negligible period of time to an angular speed of 125 rad/s. If the orientation of the spacecraft is to be changed by 30.0°, for what time interval must the gyroscope be operated?