Oscillations Te...

"The motion of a particle with a restoring force gives oscillatory motion". Which of the following force can be a restoring force for the oscillatory motion.

The bye-bye gesture, we do using hands is an example of 

A particle executes simple harmonic motion with a frequency $$'f'$$. The frequency with which its kinetic energy oscillates is?

Two masses $$m_1$$ and $$m_2$$ are suspended together by a massless spring of spring constant $$k$$ as shown in the figure. When the masses are in equilibrium, $$m_1$$ is removed without disturbing the system. Find the angular frequency and amplitude of oscillation of $$m_2$$.

Two particle P and Q are executing simple harmonic motion with equal amplitude and frequency. At a distance of half the amplitude one of them is moving away from the mean position while the other is observed at a distance half the amplitude to be moving towards mean position as shown in figure. The phase difference between them is:

Figure shows three systems in which a block of mass m can execute S.H.M. What is ratio of frequency of oscillation?

Two blocks A and B of masses m and 2 m, respectively, are held at rest such that the spring is in natural length. Find out the accelerations of both the blocks just after release.

A particle executes simple harmonic motion between $$x=-A$$ and $$x=+A$$. The time taken for it to go from $$0$$ to $$A/2$$ is $$T_1$$ and to go from $$A/2$$ to A is $$T_2$$. Then.

Two bodies M and N of equal mass are suspended from two separate massless spring of force constant $$k_1$$ and $$k_2$$ respectively. If the two bodies oscillate vertically such that their maximum velocities are equal, the ratio of the amplitude of vibration of M to that of N is?

The displacement of a particle performing linear S.H.M is given by $$x=6 sin(3 \pi t-5\pi/6) $$ metre. Find the time at which the particle reaches the extreme position towards the left: