Question

20 gram of oscillator with the natural frequency 10 Radian per second is vibrating in a damping medium the damping force is proportional to the velocity of the vibrator calculate the value of damping required for the oscillations to be critically damped if the damping coefficient is 0.17

Answer 1

Answer:

20 gram of oscillator with the natural frequency 10 Radian per second is vibrating in a damping medium the damping force is proportional to the velocity of the vibrator calculate the value of damping required for the oscillations to be critically damped if the damping coefficient is 0.17

Explanation:

20 gram of oscillator with the natural frequency 10 Radian per second is vibrating in a damping medium the damping force is proportional to the velocity of the vibrator calculate the value of damping required for the oscillations to be critically damped if the damping coefficient is 0.17

Answer 2

Given:-

mass of oscillator, m=20 g=0.02 kg

Natural frequency, $\omega_{n}$=10 rad/s

damping coefficient, $\zeta$=0.17

To Find:-

value of damping coefficient

Explanation:-

There is a standard relation between damping coefficient and natural frequency and is given by:-

$\text{damping coefficient, }c=2m\zeta\omega_{n}$

Put all the values in above equation to obtain c.

$c=2\times0.02\times0.17\times10=0.068\dfrac{N-s}{m}$