Concept explainers
(a)
The
(a)
Answer to Problem 66P
The angular velocity of the platform is
Explanation of Solution
Given:
Moment of inertia of the person with the platform,
Moment of inertia of the wheel,
Angular velocity of the wheel,
A person moves the axis of the wheel pointing vertically upwards
Formula used:
Law of conservation of
Calculation:
Initially, both the platform and the wheel is at rest.
Hence, initial angular momentum,
Let final angular velocity be
Substituting values in law of conservation of angular momentum,
Conclusion:
The angular velocity of the platform is
(b)
The angular velocity of the platform.
(b)
Answer to Problem 66P
The angular velocity of the platform is
Explanation of Solution
Given:
Moment of inertia of the person with the platform,
Moment of inertia of the wheel,
Angular velocity of the wheel,
A person moves the axis of the wheel at 60° to the vertical.
Formula used:
Law of conservation of angular momentum,
Calculation:
Initially, both the platform and the wheel is at rest.
Hence, initial angular momentum,
Let final angular velocity be
Substituting values in law of conservation of angular momentum,
Conclusion:
The angular velocity of the platform is
(c)
The angular velocity of the platform.
(c)
Answer to Problem 66P
The angular velocity of the platform is
Explanation of Solution
Given:
Moment of inertia of the person with the platform,
Moment of inertia of the wheel,
Angular velocity of the wheel,
A person moves the axis of the wheel pointing vertically downwards.
Formula used:
Law of conservation of angular momentum,
Calculation:
Initially, both the platform and the wheel are at rest.
Hence, initial angular momentum,
Let final angular velocity be
Substituting values in law of conservation of angular momentum,
Conclusion:
The angular velocity of the platform is
(d)
The angular velocity of the platform.
(d)
Answer to Problem 66P
The angular velocity of the platform is 0.
Explanation of Solution
Given:
Moment of inertia of the person with the platform,
Moment of inertia of the wheel,
A person stops rotation of the wheel
Formula used:
Law of conservation of angular momentum,
Calculation:
Initially, both the platform and the wheel are at rest.
Hence, initial angular momentum,
Let final angular velocity be
Substituting values in law of conservation of angular momentum,
Conclusion:
The angular velocity of the platform is
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Physics: Principles with Applications
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