Question

(a) What are damped vibrations ? Write down the
equation of motion of a damped simple
harmonic oscillator and solve it for different
possible situations.​

Answer 1

It is tempting to say that the period decreases as the amplitude decreases, since the oscillating object has less distance to travel in one cycle. The damping force, however, reduces the speed to exactly counteract this effect. Thus the period and frequency of a damped oscillator are constant throughout its motion.

Answer 2

Answer:

Damped vibration: When the energy of a vibrating system is gradually dissipated by friction and other resistances, the vibrations are said to be damped. The vibrations gradually reduce or change in frequency or intensity or cease and the system rests in its equilibrium position.