Explanation Given: Mass of the disk is 9 kg , mass of the slender is 5 kg , angular velocity is 6 rad/s and angular acceleration is 25 rad / s 2 . Concept used: Expression for Newton’s second law of motion in rotation is given as follows: ∑ T n e t = I r α + m r ( a r ) t r + I D α + m D ( a D ) t R …… (1) Here, net torque on the system is ∑ T n e t , mass moment of inertia is I , linear acceleration is a and angular acceleration of the system is α . D and r subscripts are stand for disk and rod respectively. Calculation: Mass moment of inertia of rod is calculated as follows: I r = m r ( L A B ) 2 12 I r = 5 × ( 0.5 ) 2 12 I r = 0.1042 kg-m 2 Mass moment of inertia of disk is calculated as follows: I D = m D ( r D ) 2 12 I D = 9 × ( 0 To determine (b) The forces exerted by the pin 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 16.2, Problem 16.91P

To determine

(a)

The coupleM.

To determine

(b)

The forces exerted by the pin C.

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Chapter 16.2, Problem 16.90P

Chapter 16.2, Problem 16.92P

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Chapter 16 Solutions

Vector Mechanics for Engineers: Dynamics

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(a) The coupleM.

Solution Summary: The author explains Newton's second law of motion in rotation. Mass moment of inertia of disk is calculated as follows: