a. Explanation Given: Mass of cylindrical turntable is M . Radius of the turntable is R . Initial angular speed is ω 1 . Mass of the parakeet is m . Formula Used: Angular momentum can be obtained by: L → = I ω → L → = r → × p → Where, I is the moment of inertia, ω → is the angular velocity , r → is the position vector from the rotational axis and p → is the linear momentum. Calculations: For the turntable, moment of inertia is: I = 1 2 M R 2 Apply the conservation of angular momentum to the turntable-parakeet system as the parakeet lands. The initial angular momentum of the system is: L i n i t i a l = I t a b l e ω 1 L i n i t i a l = 1 2 M R 2 ω 1 Where, ω i is the initial angular speed. For the parakeet, L p a r a k e e t = | r → × p → | = R m v p a r a k e e t The final angular momentum of the system is: (b) To determine To Find: The angular speed of the turntable after the parakeet jumps off.

6th Edition

ISBN: 9781429281843

Author: Tipler

Publisher: MAC HIGHER

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Chapter 10, Problem 80P

To determine

To Find:The angular speed of the turntable after the parakeet lands.

(b)

To determine

To Find: The angular speed of the turntable after the parakeet jumps off.

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Chapter 10, Problem 79P

Chapter 10, Problem 81P

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The angular speed of the turntable after the parakeet lands.

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