Oscillations Te...

A simple harmonic oscillator is of mass $$0.100$$ kg. It is oscillating with a frequency of $$\dfrac{5}{\pi }$$Hz. If its amplitude of vibration is $$5$$ cm, the force acting on the particle at its extreme position is

Two particles executing SHM of the same amplitude and frequency on parallel lines side by side. They cross one another when moving in opposite directions each time their displacement is $$\dfrac{\sqrt{3}}{2}$$ times their amplitude. The phase difference between them is:

A particle is in S.H.M of amplitude $$ 2$$ cm. At extreme position the force is $$4$$N. At the point mid-way between mean and extreme position, the force is :

The average speed of S.H.M oscillator averaged over  $$\dfrac{3T}{8}$$ is

The net external force acting on the disc when its centre of mass is at displacement $$x$$ with respect to its equilibrium position is:

A particle executes SHM on a straight line path. The amplitude of oscillation is 2 cm. When the displacement of the particle from the mean position is 1 cm, the numerical value of the magnitude of acceleration is equal to the numerical value of the magnitude of the velocity. The frequency of SHM is:

The number of independent constituent simple harmonic motions yielding a resultant displacement equation of the periodic motion as $$y=8 sin^{2}(\frac{t}{2})sin (10t)$$ is:

A particle performs SHM with a period T and amplitude a. The mean velocity of the particle over thetime interval during which it travels a distance a/2 from the extreme position is

A particle is subjected to two mutually perpendicular simple harmonic motions such that its x andy coordinates are given by
$$x=2 \sin \omega t; y=2 \sin \left ( \omega t+\frac{\pi }{4} \right )$$ The path of the particle will be :

A spring is suspended under gravity with a block attached to it. The block oscillates in the vertical plane according to  $$x = a sin wt$$ with time period $$8$$ seconds. The ratio of velocities of the particle at $$t = 1$$ sec to $$t = 3$$ sec is