Question

An object in simple hormonic motion starts at Amplitude Ao. Due to dampening, after 30 sec, the object is now at 30% of its original amplitude. What is the dampening constant of this system? A. 11s B. 25s C. 33s D. 84s E. 55s

Answer 1

C ) 33 s.

Step-by-step explanation:

In simple harmonic motion damping of amplitude is logarithmic which is expressed as follows

`A=A_0e^{-(-b)/(t)`

A/A₀ = .3 (given ) , b is damping constant and t is time which is 30 s here.

`.3 = e^(-b)/(t)`

ln .3 = -b / 30

1.2 = b / 30

b = 36 s 0r 33 s