Explanation Given: Angular velocity of plate is 120 rpm , mass of bas is 3 kg and mass of square plate is 4 kg . Moments of inertia about the vertical centroidal axis: Square plate: I = 1 12 m L 2 I = 1 12 ( 4 ) ( 0.500 ) 2 = 0.0833333 k g . m 2 For bar AB in vertical position, I = 0 Bar AB horizontal: I = 1 12 m L 2 = 1 12 ( 3 ) ( 0.500 ) 2 = 0.0625 k g . m 2 Position 1: Bar AB is vertical: I = 0.08333 k g . m 2 ω 1 = 120 r p m = 4 π r a d / s Angular momentum about the vertical axis: ( H 0 ) 1 = I 1 ω 1 = ( 0.08333 ) ( 4 π ) = 1 To determine (ii) The energy lost during the plastic impact at C.

Vector Mechanics for Engineers: Dynamics

11th Edition

ISBN: 9780077687342

Author: Ferdinand P. Beer, E. Russell Johnston Jr., Phillip J. Cornwell, Brian Self

Publisher: McGraw-Hill Education

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Chapter 17, Problem 17.145RP

To determine

(i)

The angular velocity of the plate.

To determine

(ii)

The energy lost during the plastic impact at C.

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Chapter 17, Problem 17.144RP

Chapter 17, Problem 17.146RP

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Vector Mechanics for Engineers: Dynamics

Ch. 17.1 - A round object of mass m and radius r is released...Ch. 17.1 - Prob. 17.CQ2P Ch. 17.1 - Prob. 17.CQ3P Ch. 17.1 - Prob. 17.CQ4P Ch. 17.1 - Slender bar A is rigidly connected to a massless...Ch. 17.1 - A 200-kg flywheel is at rest when a constant 300 N...Ch. 17.1 - The rotor of an electric motor has an angular...Ch. 17.1 - Two uniform disks of the same material are...Ch. 17.1 - Two disks of the same material are attached to a...Ch. 17.1 - Prob. 17.5P

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(i) The angular velocity of the plate.

Solution Summary: The author explains the angular velocity of the plate, the mass of bas, and the moment of inertia about the vertical centroidal axis.