A puck sits on the rotating turntable rotating at a constant rate. If the puck is placed at a distance of 10 cm from the centre of the turntable, the puck flies off if the angular speed exceeds 0.5 rev/s. If instead the puck is placed 5 cm from the center, the puck will fly off if the angular speed exceeds

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A hockey stick of mass and length is at rest on the ice (which is assumed to be frictionless). A puck with mass hits the stick a distance from the middle of the stick. Before the collision, the puck was moving with speed in a direction perpendicular to the stick, as indicated in the figure. The collision is completely inelastic, and the puck remains attached to the stick after the collision.

Find the speed

of the center of mass of the stick+puckcombination after the collision.

Express

in terms of the followingquantities:

, and

After the collision, the stick and puck willrotate about their combined center of mass. How far is this centerof mass from the point at which the puck struck? In the figure,this distance is $(D-b)$ . (PartB 1 figure)

$D-b$ =

What is the angular momentum Lcm of the system before the collision, with respect to the center of mass of the final system? Express Lcm in terms of the given variables.

What is the angular velocity

of the stick+puck combinationafter the collision? Assume that the stick is uniform and has amoment of inertia

about its center.

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A coin placed on a turntable rotating at 35.9 rev/min will stay there if its center is placed no further than 7.3 cm from the axis of rotation. What is the maximum distance the center of the coin can be placed from the axis if the turntable rotates at 49.7 rev/min?

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