Explanation Given information: Figure for further details. Thickness = t Mass density = ρ Concept used: Conservation of angular momentum, Calculation: Up position: v 0 = b ω 0 Down position: v 2 = 3 2 b ω 0 Mass of plate m p l a t e = p t ( 2 b ) ( 4 b ) = 8 p t b 2 Moment of inertia of the plate = 40 3 p t b 4 Mass of panel m p a n e l = p t ( b ) ( 2 b ) = 2 p t b 2 Moment of inertia in up position = ( I p a n e l ) 1 = 1 12 ( 2 p t b 2 ) [ ( 2 b ) 2 ] = 2 3 p t b 4 Moment of inertia in down position = ( I p a n e l ) 2 = 1 2 ( 2 p t b 2 ) [ b 2 + ( 2 b ) 2 ] = 5 6 p t b 4 Applying conservation of angular momentum,

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ISBN: 9781259977237

Author: BEER

Publisher: MCG

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Chapter 17, Problem 17.142RP

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The angular velocity of the assembly when the panels have come to rest against the plate.

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Chapter 17, Problem 17.141RP

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The angular velocity of the assembly when the panels have come to rest against the plate.

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