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The system shown consists of a rotating base, a 5kg ball with a radius of 0.4m...

The system shown consists of a rotating base, a 5kg ball with a radius of 0.4m and a connecting link.The base is rotating about the +z-axis with the angular velocity and acceleration shown. Meanwhile, the link is rotating about a pin joint connected to the base (aligned with the x-axis at the instant shown) with the angular velocity and acceleration shown. If the link is 5m long from the center of the pivot to the center of the ball, find parts a-e at the instant shown. Neglect the mass of everything but the ball. Report your answers as vectors in terms of the shown coordinate system.

a) The linear momentum of the ball

b) The angular momentum of the ball about the origin of the xyz coordinate system

c) The kinetic energy of the ball

d) The forces developed at the connection between the ball and the link

e) The reaction moments developed at the connection between the ball and the link

engineering   Mechanical-Engineering   
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