An oscillating system has a natural frequency of 40 rad/s. The damping coefficie

Question

An oscillating system has a natural frequency of 40 rad/s. The damping coefficient is 1.9 kg/s. The system is driven by a force

F(t) = (130 N)cos((40 rad/s)t).

What is the amplitude of the oscillations?

4. +0/2 points | Previous Answers FRKestenCP1 12.P065 My Notes An oscillating system has a natural frequency of 40 rad/s. The damping coefficient is 1.9 kg/s. The system is driven by a force F(t) = (130 N)cos((40 rad/s)). What is the amplitude of the oscillations? 1.316 An oscillating system has a natural frequency of 40 rad/s and a damping coefficient of b = 1.9 kg/s. The system is F(t)=(130Na(40! From this driven by an oscillating force, Ft) - (130 N)cos(40dt From this expression, we can see that the frequency of the applied force is equal to the natural frequency of the system. The amplitude of a damped, driven oscillator is readamp ed, driven oscillator is Fo m2 eBook

Explanation / Answer

The amplitude is given by:

A = F0 / bw

F = 130 , b = 1.9, w =40

So, the amplitude is

A = 1.7105

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