An underdamped spring-mass system consists of a spring with a force constant of 2.00 N/m and a mass of 550 g. It is observed that the oscillations decrease in magnitude by 10.0% every 360 s. What is the value of the damping constant for the system? A) 3.22 × 10^-4 Ns/m B) 2.16 × 10^-4 Ns/m C) 11.7 × 10^-4 Ns/m D) 5.85 × 10^-4 Ns/m E) 8.95 × 10^-4 Ns/m

Question

Quizplus · Accepted Answer

The damping constant can be calculated using the formula for the decay of amplitude in an underdamped system: A(t) = A(0) * e^(-bt/2m). Given that the amplitude decreases by 10% every 360 s, we can solve for b using the given parameters.

An Underdamped Spring-Mass System Consists of a Spring with a Force