What is linear harmonic oscillator ? And what is non-linear oscillator ?
If a force exerted on any particle is directly proportional to displacement in time $t$, then oscillating particle is known as linear harmonic oscillator.
In real world, the force may contain small additional terms proportional to $x^{2}, x^{3}, \ldots$ etc. these then are called non-linear oscillators.
The periodic time of a simple pendulum of length $1\, m $ and amplitude $2 \,cm $ is $5\, seconds$. If the amplitude is made $4\, cm$, its periodic time in seconds will be
Two pendulums begin to swing simultaneously. If the ratio of the frequency of oscillations of the two is $7 : 8$, then the ratio of lengths of the two pendulums will be
What is simple pendulum ? Deduce an expression for the time period of simple pendulum.
Can simple pendulum clock be used in an artificial satellite ? Why ?
The displacement $y(t) = A\,\sin \,(\omega t + \phi )$ of a pendulum for $\phi = \frac {2\pi }{3}$ is correctly represented by