A280-g mass is mounted on a spring of constant k = 3.3 n/m. the damping constant for this damped system is b = 8.4 x 10^-3 kg/s. how many oscillations will the system undergo during the time the amplitude decays to 1/e of its original value?

The number of oscillation is 36.

Explanation:

Given that

Mass = 280 g

Spring constant = 3.3 N/m

Damping constant

We need to check the system is under-damped, critical damped and over damped by comparing b with

Here, b<<

So, the motion is under-damped and will oscillate

The number of oscillation before the amplitude decays to of its original value

We need to calculate the time period of one oscillation

The number of oscillation is

Hence, The number of oscillation is 36.

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