(a) Explanation Given information: Figure-(1) Figure-(1) represents the arrangement of the system. The mass of the slender rod is 3 kg , the mass of the disk is 5 kg , and the damping coefficient of the dashpot is 9 N ⋅ s / m . Write the expression for the moment of the forces about point A. ( m d r 2 2 + m r L 2 3 ) θ ¨ + m r g L 2 sin θ + c r 2 θ ˙ = 0 ..... (I) Here, the mass of the disk is m d , the mass of the rod is m r , radius of the disk is r , the length of the disk is L , the angular acceleration is θ ¨ , the angular velocity is θ ˙ , and the angular displacement is θ . Calculation: Substitute 5 kg for m d , 1 0 0 mm for r , 3 kg for m r , 9 N ⋅ s / m for c , 4 0 0 mm for L , θ for sin θ , and 9.81 m / s 2 for g in Equation (I). ( 5 kg × ( 1 0 0 mm ) 2 2 + 3 kg × ( 4 0 0 mm ) 2 3 ) θ ¨ + 3 kg × 9 (b) To determine The damping factor c c c .

12th Edition

ISBN: 9781259977305

Author: BEER, Ferdinand P. (ferdinand Pierre), Johnston, E. Russell (elwood Russell), Cornwell, Phillip J., SELF, Brian P.

Publisher: Mcgraw-hill Education,

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Question

Chapter 19, Problem 19.164RP

(a)

To determine

The differential equations of the of the motion for small oscillations.

(b)

To determine

The damping factor ccc .

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Chapter 19, Problem 19.163RP

Chapter 19, Problem 19.165RP

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