Oscillations

The displacement time (x-t) graph of a particle performing simple harmonic motion is shown in the figure. The acceleration fo the particle at $t = 1$ s is

The body of mass $M$ is performing S.H.M. as shown in the figure. The periodic time '$T$' of oscillation of a given system is

The graph shows variation of displacement of a particle performing SHM with time t. which of the following statements is correct from the graph?

The frequency of small oscillations of thin uniform vertical rod of mass $'m'$ and length $'l'$ hinged at point O with the help of two springs with spring constants $k_1$ and $k_2$, is

A simple pendulum having length $l$ and mass 'm' is suspended between two plates having uniform electric field 'E' as shown in figure. The bob is given a charge $q$. The time period 'T' of its vibration is

Two SHM's $x_1 = a\sin\left(\omega t + \dfrac{3\pi}{2}\right)$ and $x_2 = a\sin(\omega t + \pi)$ are superimposed on each other. The resultant amplitude of motion is $(\sin \pi/2 = 1$ and $\cos \pi/2 = 0)$

The average acceleration of a particle performing S.H.M. over two complete oscillations is (A = amplitude, $\omega$ = angular frequency)

A pendulum clock is running slow. In order to correct it, we should a. reduce the amplitude of the oscillation. b. increase the mass of the bob. c. reduce the length of the pendulum. d. take the pendulum at the equator…

A body of mass $1$ kg is performing linear SHM. Its displacement $x$(cm) at $t$(s) is given by $x=6\sin\left(100t+\dfrac{\pi}{4}\right)$. Maximum kinetic energy of the body is

For a particle executing simple harmonic motion , which of the following statements is NOT correct?

If the length of seconds pendulum on the surface of the earth is 1 m. The length of the seconds pendulum on the surface of the planet is $\left\{g_{planet}=\dfrac{7}{2}g_{earth}\right\}$ {periodic time of the seconds…

There is a large difference between the frequencies of the external periodic force and the natural frequency of a body. The body will