In: Physics
a. A horizontal platform in the shape of a circular disk ( I = 1/2 MR2) rotates in a horizontal plane about a frictionless vertical axle. The platform has a mass M=200kg and a radius R=2.00 m. A student whose mass is m=60.0kg, walks slowly from the rim of the platform toward the center. If the angular speed of the system is 2.00 rad/s, when the student is at the rim, calculate the angular speed of the system when the student reaches the center.
b. A particle of mass 0.50 kg is moving with a velocity v=(6i+8j) m/s. Find the angular momentum L relative to the origin when the particle is at r=(2i+3k) m