Two damped spring-mass oscillating systems have identical spring constants and decay times. However,system $A$'s mass $m_A$ is twice system $B$'s mass $m_B$. How do their damping constants,$b$,compare?

What is pure simple harmonic oscillation? Why is it not $100 \%$ possible in practice?

The graph between velocity and position for a damped oscillation will be:

The angular frequency of the damped oscillator is given by $\omega = \sqrt{\frac{k}{m} - \frac{r^2}{4m^2}}$,where $k$ is the spring constant,$m$ is the mass of the oscillator,and $r$ is the damping constant. If the ratio $\frac{r^2}{mk}$ is $8\%$,the change in time period compared to the undamped oscillator is approximately as follows:

The amplitude of a wave is represented by $A = \frac{c}{a + b - c}$. Resonance will occur when:

What are damped oscillations? Discuss them using the illustration of a spring.