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The torsional pendulum with a disc of moment of inertia $J = 0.05 \ kg-m^2$ immersed in a viscous fluid is shown in figure. During vibrations of pendulum,
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The observed amplitudes on the same side of the neutral axis for successive cycles are found to decay 50% of the initial value.

Determine:

1] Logarithmic decrement.

2] Damping torque per unit velocity.

3] The periodic time of vibration.

4] The frequency when the disc is removed from the fluid. …

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