Consider a satellite which is a 3D rigid body, as shown in Figure 1, rotating about a fixed axis with an angular velocity of @= @xi + wyj + wk where wx, wy and wz are the components of the angular velocity vector. A point P is located at F = xi+yj + zk in the body-fixed coordinate system. a) b) c) = vi + vyj+vk. Determine Derive the expression for the velocity vp of point P in terms of w and r. Suppose the body is also undergoing a linear translation with a velocity Vo the total velocity of point P in terms of both the angular velocity and the linear velocity vo. Determine the angular momentum of point P, when the satellite is spinning about the z axis. (NOTE: you may assume that the axis of rotation passes through origin (0,0,0) which is placed at the center of gravity of the spacecraft) 20 m X P 5m Z 100 kg 5m Figure 1: Satellite as a Rigid Body