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

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?

The potential energy of a simple harmonic oscillator when the particle is at $\dfrac{3}{4}A$, is ($A$ is the amplitude of oscillation and E is the total energy of the oscillator)

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…

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 phase of a particle performing a linear S.H.M increases by $\dfrac{\pi^c}{6}$ after every 5 second. The frequency of its oscillation is

The displacement of two identical particles performing S.H.M are represented by equation $x_1 = 6 \sin (5t + \pi /4)$ and $x_2 = 4 \cos \omega t$. The energies of both the particles will be same, if the value of…