Damped harmonic motion: An ideal massless spring with a spring constant of 2.00 N/m is attached to an object of 75.0 g. The system has a small amount of damping. If the amplitude of the oscillations decreases from 10.0 mm to 5.00 mm in 15.0 s, what is the magnitude of the damping constant b?
A) 0.00693 kg/s
B) 0.0462 kg/s
C) 0.00762 kg/s
D) 0.0100 kg/s
E) 0.00857 kg/s

Question

Quizplus · Accepted Answer

The damping constant can be found using the formula for the amplitude of damped oscillations: A(t) = A_0 * e^(-bt/2m). Solving for b using the given amplitudes and time, we find b ≈ 0.00693 kg/s.

Damped Harmonic Motion: an Ideal Massless Spring with a Spring