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In Conceptual Checkpoint 10-5, assume the ball is a solid

Chapter 10, Problem 71P

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QUESTION:

Assume the ball is a solid sphere of radius 2.9 cm and mass 0.14 kg. If the ball is released from rest at a height of 0.78 m above the bottom of the track on

the no-slip side, (a) what is its angular speed when it is on the frictionless side of the track? (b) How high does the ball rise on the frictionless side?

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QUESTION:

Assume the ball is a solid sphere of radius 2.9 cm and mass 0.14 kg. If the ball is released from rest at a height of 0.78 m above the bottom of the track on

the no-slip side, (a) what is its angular speed when it is on the frictionless side of the track? (b) How high does the ball rise on the frictionless side?

ANSWER:

Step 1 of 4

a.)

We have to find the angular speed of the ball when it is on the frictionless side of the track.

The angular speed of the ball can be found using the expression,

where,

 linear speed in m/s

 radius of the ball in m

Now, the linear speed can be determined by applying conservation of mechanical energy to the system.

That is  (constant)

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