A uniform rigid bar with a mass m = 12kg and L = 1m is connected to linear sprin

Question

A uniform rigid bar with a mass m = 12kg and L = 1m is connected to linear springs and damper as shown in Figure 1 where the bar is at its static equilibrium position. Then small disturbance is provided and the rigid bar undergoes small oscillation about point O. The angle between the rigid bar and its static equilibrium position has a time history of response that is shown below. Times and values of local maxima of theta (t) are summarized in the following table. the equation of motion provided Jo = 7/48ml2 the damped frequency of the system the natural frequency of the system the value of k the damping constant of the dashpot

Explanation / Answer

there is supposed be a table which gives some relevant values. From the values provided in the image from you, the values that you ask can't be provided. The formulae are natural frequency = sqrt(k/m) damped prequency = natural frequency* sqrt (1-zeta^2) Other two values will come when you see the table.

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