Question1

A space platform in form of a thin circular disc of radius a and mass m (flying saucer) is initially rotating steadily with angular velocity ω about its symmetry axis. A meteorite strikes the platform at the edge, imparting an impulse P to the platform. The direction of P is parallel to the axis of platform, and magnitude of Pis equal to maω/4. Find out the resulting values of the processional rate Ω, the wobble rate φ, and an angle α between symmetry axis and the new axis of rotation.

Question2

A jet is circling an airport control tower at a distance of 18.0 km. An observer in tower watches the jet cross in front of the moon. As seen from the tower, the moon subtends an angle of 9.25x10-3 radians. Find out the distance travelled (in meters) by the jet as observer watches the nose of the jet cross from one side of the moon to the other.