Tag: free, forced and damped oscillations

The amplitude of a damped oscilator becomes one-half after $t$ second. If the amplitude becomes $\dfrac {1}{n}$ after $3t$, second, then $n$ is equal to

A system is executing forced harmonic resonant oscillations. The work done by the external driving force

Equation of motion for a particle performing damped harmonic oscillation is given as $x = e^{-1 t} cos (10 \pi t + \phi)$. The times when amplitude will half of the initial is :

A particle is performing damped oscillation with frequency $5Hz$. After every $10$ oscillations its amplitude becomes half. find time from beginning after which the amplitude becomes $\dfrac{1}{1000}$ of its initial amplitude:

The frequency of vibration is less than the natural frequency in

A particle oscillating under a force $\bar{F} = - k \bar{x} - b \bar{v}$ is a (k and b are constants)

In Melde's experiment, eight loops are formed with a tension of $0.75\space N$. If the tension is increased to four times then the number of loops produces will be

Periodic vibrations of decreasing amplitude are called

In Melde's experiment, when the tension is 100 g and the tuning fork vibrates at right angles to the direction of the string, 4 loops are produced. If now, the tuning fork is set to vibrate along the string, what additional weight will make the string vibrate in 1 loop? 

In Melde's experiment the position is changed from parallel to perpendicular. To get same number of loops, What should be the new length if original length is $l$? (Tension in the string is kept constant)