Explanation Given: Mass of sphere A is 14 oz , mass of sphere C is 10 oz and mass of rod AC is 20 oz . Concept used: By applying torque method for the given system is expressed as follows: T i + T e = 0 ...... (1) Here, inertial torque of the system is T i and external torque is T e . Calculation: Moment of inertia of the bend is calculated as follows: I = I A C + I A + I C I = ( m A C l 2 12 + m A C ( 1.5 ) 2 ) + m A ( A B ) 2 + m C ( B C ) 2 I = ( ( 20 oz ) ( 1 lb 16 oz ) ( 13 ) 2 12 + ( 20 oz ) ( 1 lb 16 oz ) ( 1.5 ) 2 ) + ( 14 oz ) ( 1 lb 16 oz ) ( 5 ) 2 + ( 10 oz ) ( 1 lb 16 oz ) ( 8 ) 2 I = ( 20.41667 + 21.875 + 40 ) I = 82.29 lb-in 2 From above figure torque is expressed as: T i + T e = I θ ¨ + m C g ( B C ) θ + m A C g ( B X ) θ − m A g ( A B ) θ Substitute I θ ¨ + m g c θ for T i + T e in equation (1)

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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When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial …

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Chapter 19.3, Problem 19.85P

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The period of oscillation.

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Chapter 19.3, Problem 19.84P

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Chapter 19 Solutions

Vector Mechanics for Engineers: Dynamics

Ch. 19.1 - A particle moves in simple harmonic motion....Ch. 19.1 - A particle moves in simple harmonic motion....Ch. 19.1 - Prob. 19.3P Ch. 19.1 - Prob. 19.4P Ch. 19.1 - Prob. 19.5P Ch. 19.1 - Prob. 19.6P Ch. 19.1 - A simple pendulum consisting of a bob attached to...Ch. 19.1 - A simple pendulum consisting of a bob attached to...Ch. 19.1 - A 10-Ib block A rests on a 40-Ib plate B that is...Ch. 19.1 - A 5-kg fragile glass vase is surrounded by packing...

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The period of oscillation.

Solution Summary: The author calculates the moment of inertia of the bend by applying torque method for the given system.

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