SHM Questions

A particle moves with simple harmonic motion in a straight line. In first τ s, after starting from rest it travels a distance a, and in next τ s it travels 2a in same direction then...

The oscillation of a body on a smooth horizontal surface is represented by the equation, X = Acos(ωt) where X = displacement at time t ω = frequency of oscillation Which one of the following...

When two dispalcements represented by y1 = asin(wt) and y2 = b cos(wt) are superimposed the motion is :

A particle is executing SHM along a straight line. Its velocities at distances x1 and x2 from the mean position are V1 and V2, respectively. Its time period is :-...

An elastic string of length l supports a heavy particle of mass m and the system is in equilibrium with elongation produced being e as shown in figure. The particle is now pulled down below the equili...

A simple pendulum has some time period T. What will be the percentage change in its time period if its amplitude is decreased by 5%?

The potential energy of a particle of mass ′m′ situated in a unidimensional potential field varies as U(x) = U0 [1 − cos ax], where U0 and a are constants. The time period of small o...

A particle executes linear simple harmonic motion with an amplitude of 3 cm. When the particle is at 2 cm from the mean position, the magnitude of its velocity is equal to that of its acceleration. Th...

For an RLC circuit driven with voltage of amplitude vm and frequency w0 = 1LC the current exhibits resonance. The quality factor, Q is given by :...

If the series limit frequency of the Lyman series is vL, then the series limit frequency of the Pfund series is :

A tuning fork is used to produce resonance in a glass tube. The length of the air column in this tube can be adjusted by a variable piston. At room temperature of 27oC two successiv resonances are pro...

A pendulum is hung from the roof of a sufficiently high building and is moving freely to and fro like a simple harmonic oscillator. The acceleration of the bob of the pendulum is 20 m/s2 at a distance...

A horizontal stretched string, fixed at two ends, is vibrating in its fifth harmonic according to the equation, y(x, t) = (0.01m) sin [(62.8 m-1)x]cos [(628 s-1)t]. Assuming π = 3.14, the correct...

A particle of mass m is attached to one end of a mass-less spring of force constant k, lying on a frictionless horizontal plane. The other end of the spring is fixed. The particle starts moving horizo...

The amplitude of a damped oscillator decreases to 0.9 times its original magnitude in 5s. In another 10s it will decrease to α times its original magnitude, where α equals :...

An ideal gas enclosed in a vertical cylindrical container supports a freely moving piston of mass M. The piston and the cylinder have equal cross sectional area A. When the piston is in equilibrium, t...

A uniform rod of length L and mass M is pivoted at the centre. Its two ends are attached to two springs of equal spring constants k. The springs are fixed to rigid supports as shown in the figure, and...

The mass M shown in the figure oscillates in simple harmonic motion with amplitude A. The amplitude of the point P is...

If a simple pendulum has significant amplitude(up to a factor of 1/e of original) only in theperiod between t = 0 s to t = , then t may becalled the average life of the pendulum. Whenthe spherical bob...

A wooden block performs SHM on a frictionless surfacewith frequency, v0 . The block carries a charge +Q on its surface. If now a uniform electric field is switched-on as shown, then the SHM of the blo...