Explanation Given information: The semi-circular panel is attached to a circular plate in a vertical position as provided in the figure. The whole assembly rotates with initial angular velocity ω 0 . Mass of circular plate, m The radius of a circular plate, r Mass of semi-circular plate, m 2 Initial angular velocity, ω 0 Concept used: Conservation of momentum principle. Calculation: Initial condition: The Moment of Inertia of the plate; ( I P l a t e ) 1 = 1 2 m r 2 The Moment of Inertia of the panel; ( I p a n e l ) 1 = 1 4 ( m 2 r 2 ) = 1 8 m r 2 The Moment of Inertia of the system; ( I s y s t e m ) = ( I P l a t e ) 1 + ( I p a n e l ) 1 = 1 2 m r 2 + 1 8 m r 2 = 5 8 m r 2 Final condition: The Moment of Inertia of the plate; ( I P l a t e ) 2 = m r 2 2 The Moment of Inertia of the panel;

12th Edition

ISBN: 9781260265521

Author: BEER

Publisher: MCG

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Chapter 17.2, Problem 17.79P

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To determine the angular velocity of assembly, when the panel is released and come to rest against plate.

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Chapter 17.2, Problem 17.78P

Chapter 17.2, Problem 17.80P

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the angular velocity of assembly, when the panel is released and come to rest against plate.

Solution Summary: The author determines the angular velocity of the assembly when the semi-circular panel is released and come to rest against plate.

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To determine the angular velocity of assembly, when the panel is released and come to rest against plate.

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