Explanation Given information: Radius of disc r = 120 m m Angle of rotation θ = 8 ° Time period τ = 1.3 s Torque T = 500 m Ν . m Torsional spring constant is given by: K = T θ K = 0.5 8 × π 180 K = 3.582 Ν . m / r a d From kinematics: α = θ ¨ Now, equation of motion: ∑ M 0 = ( ∑ M 0 ) e f f − K θ = I θ ¨ I θ ¨ + K θ = 0 θ ¨ + K I θ = 0 Compare the above equation with un-damped equation of vibration M θ ¨ + ω n 2 θ = < To determine (b) The period of vibration if one of the rods is removed.

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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Chapter 19.2, Problem 19.64P

To determine

(a)

The mass ‘m’ of the disc.

To determine

(b)

The period of vibration if one of the rods is removed.

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Chapter 19.2, Problem 19.63P

Chapter 19.2, Problem 19.65P

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(a) The mass ‘m’ of the disc.

Solution Summary: The author compares the mass ‘m’ of the disc with the un-damped equation of vibration.