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10.30. Set Up:
For a particle,
and
Solve: (a)
The tension in the cord is directed toward the axis of rotation and produces no torque. There is no net
external torque and the angular momentum of the block is conserved.
(b)
gives
and
(c)
(d)
The work done equals the increase in kinetic energy,
10.31. Set Up:
The system before and after the collision is sketched in Figure 10.31. The gate has
Take
counterclockwise torques to be positive.
Figure 10.31
Solve: (a)
The gravity forces exert no torque at the moment of collision and angular momentum is conserved.
with
(b)
Linear momentum is not conserved; there is an external force exerted by the pivot. But the force on the pivot has
zero torque. There is no external torque and angular momentum is conserved.
Reflect:
This is an inelastic collision and
10.32. Set Up:
For the player,
with
and
with
and
Just before it is caught the ball has
and
with
and
Solve:
so
10.33. Set Up:
where
r
is his distance from the axis.
so
v
i
5
2
p
rad
6.00 s
5
1.047 rad
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This note was uploaded on 03/06/2009 for the course PHYS 114 taught by Professor Shoberg during the Spring '07 term at Pittsburg State Uiversity.
 Spring '07
 Shoberg
 Angular Momentum, Momentum

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