Question

Problem 3 The system in the figure has a damping ratio of 0.15 . Find (1) Damping Coefficient c value (2) Write an equation showing the free oscillations of the system. (3) Find the answer \( \boldsymbol{\theta}(\mathrm{t}) \) with a sketch of the answer. The initial conditions are as follows, starting \( \theta(0)=8 \) degree and angular velocity \( \dot{\theta}(0)=0 \mathrm{rad} / \mathrm{s} \). where angle \( \theta \) is measured from the equilibrium state. (4) Find the time when the vibration size is reduced to only \( 15 \% \) of the initial value. 0.

          Problem 3 The system in the figure has a damping ratio of 0.15 . Find
(1) Damping Coefficient c value
(2) Write an equation showing the free oscillations of the system.
(3) Find the answer \( \boldsymbol{\theta}(\mathrm{t}) \) with a sketch of the answer.

The initial conditions are as follows, starting \( \theta(0)=8 \) degree and angular velocity \( \dot{\theta}(0)=0 \mathrm{rad} / \mathrm{s} \). where angle \( \theta \) is measured from the equilibrium state.
(4) Find the time when the vibration size is reduced to only \( 15 \% \) of the initial value.

0.

Problem 3 The system in the figure has a damping ratio of 0.15 . Find
(1) Damping Coefficient c value
(2) Write an equation showing the free oscillations of the system.
(3) Find the answer θ(t) with a sketch of the answer.

The initial conditions are as follows, starting θ(0)=8 degree and angular velocity θ̇(0)=0 rad / s. where angle θ is measured from the equilibrium state.
(4) Find the time when the vibration size is reduced to only 15 % of the initial value.

0.

Added by Aaron M.

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