A solid shaft having diameter d = 8 cm, length l = 35 cm and modulus of rigidity G = 4 × 1010 N/m² is attached to a circular disc which has mass moment of inertia J = 0.6 K g m². If this system is allowed to vibrate in a viscous medium, and the amplitudes of vibratory motion on one side of the mean position for consecutive cycles are found to be 8°,5°, and 3° respectively; Determine the following: (i) The logarithmic decrement, & (ii) The damping ratio, { (iii) The torsional stiffness of the solid shaft (iv) The torsional damping coefficient c of the system (iv) The time period for damped vibration
A solid shaft having diameter d = 8 cm, length l = 35 cm and modulus of rigidity G = 4 × 1010 N/m² is attached to a circular disc which has mass moment of inertia J = 0.6 K g m². If this system is allowed to vibrate in a viscous medium, and the amplitudes of vibratory motion on one side of the mean position for consecutive cycles are found to be 8°,5°, and 3° respectively; Determine the following: (i) The logarithmic decrement, & (ii) The damping ratio, { (iii) The torsional stiffness of the solid shaft (iv) The torsional damping coefficient c of the system (iv) The time period for damped vibration
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Solve part (iv) and (v)
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