3. A has a A playground small child with mass 35.0 kg runs at a velocity of 2.50 m/s along a path ta stationary merry-go-round and jumps on. Calculate (a) the magnitude of th child about the axis of rotation of the merry-go-round, and (b) the angular merry-go-round plus child after the child jumped on. You may assume the c

A bowler throws a bowling ball of radius R = 11 cm along a lane. The ball (the figure) slides on the lane with initial speed vcom.O friction between the ball and the lane is 0.29. The kinetic frictional force k acting on the ball causes a linear acceleration of the ball while producing a torque that causes an angular acceleration of = 8.4 m/s and initial angular speed wo 0. The coefficient of kinetic the ball. When speed vcom has decreased enough and angular speed p has increased enough, the ball stops sliding and then rolls smoothly. During the sliding, what are the ball's (a) linear acceleration and (b) angular acceleration? (c) How long does the ball slide? (d) How far does the ball slide? (e) What is the linear speed of the ball when smooth rolling begins? Note that the clockwise direction is taken as negative. Vcom (a) Number -2.84 Units m/s^2 (b) Number -64.59 Units rad/s^2 (c) Number Units 0.84 (d) Number" Units (e) Number Units TTII

moves e locity at constant m towards a thin cylinder of f mass M and Radins R which is fixed vertical axis d < R. M is at rest mounded on a as shown. be dore m hits it and sticks to its edge. Find the angular speed of the system just after m sticks to the edge of the aylinder. M- top view: M

Axis 1 CML A large circular platform is supported on frictionless bearings and is at rest. A 68 kg runner also at rest on the platform begins running in a counter-clockwise 4 meter circular path and the platform rotates in the opposite direction. The observed angular velocity of the platform is 0.59 rad/s. Determine the runner's (a) angular velocity in rad/s m/s, (b) linear velocity with respect to the observer in m/s and (c) linear velocity with respect to the moving platform. The mass moment of inertia of the platform is 3046 kg-m^2. Express algebraic solution of (b) in terms of m, R, omega and lo. m 68 R 4 00 lo 0.59 3046