Concept explainers
(a)
The
(a)
Answer to Problem 61P
The angular velocity of the platform when person reaches the edge is
Explanation of Solution
Given:
Moment of inertia of merry-go-round,
Mass of person,
Radius of merry-go-round,
Initial angular velocity of platform,
Formula used:
Moment of inertia of person,
Law of conservation of
Calculation:
Substituting values for moment of inertia of person,
Substituting values in law of conservation of angular momentum,
Conclusion:
The angular velocity of the platform when person reaches the edge is
(b)
The rotational kinetic energy of the system.
(b)
Answer to Problem 61P
The rotational kinetic energy of the platform before the person walks is
The rotational kinetic energy of the platform after the person walks is
Explanation of Solution
Given:
Moment of inertia of merry-go-round,
Moment of inertia of person,
Initial angular velocity of platform,
Final angular velocity of platform,
Formula used:
Rotational kinetic energy is given by,
Calculation:
Substituting values for rotational kinetic energy before man walks,
Substituting values for rotational kinetic energy after man walks,
Conclusion:
The rotational kinetic energy of the platform before the person walks is
The rotational kinetic energy of the platform after the person walks is
Chapter 8 Solutions
Physics: Principles with Applications
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