The disc of a torsional pendulum has a moment of inertia of  600kg-cm2 and is immersed in a viscous fluid. The brass shaft having 10cm diameter & 40cm long is attached to it. When the pendulum is vibrating, the observed amplitudes on the same side of the rest position for successive cycles are 9° ,6° ,  and 4° . Determine (a) logarithmic decrement (b) damping torque at unit velocity, and (c) the periodic time of vibration Assume for the brass shaft, G=4.41×1010 N/m2 . What would the frequency be, if the disc is removed from the viscous fluid?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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The disc of a torsional pendulum has a moment of inertia of  600kg-cm2 and is immersed in a viscous fluid. The brass shaft having 10cm diameter & 40cm long is attached to it. When the pendulum is vibrating, the observed amplitudes on the same side of the rest position for successive cycles are 9° ,6° ,  and 4° . Determine

(a) logarithmic decrement
(b) damping torque at unit velocity, and
(c) the periodic time of vibration

Assume for the brass shaft, G=4.41×1010 N/m2 . What would the frequency be, if the disc is
removed from the viscous fluid?

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