SHM Questions

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 :-...

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...

A silver atom in a solid oscillates in simple harmonic motion in some direction with a frequency of 1012/sec. What is the force constant of the bonds connecting one atom with the other ? (Mole wt. of ...

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...

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...

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 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...

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...

A particle of mass m is released from rest and follows a parabolic path as shown. Assumingthat the displacement of the mass from the origin is small, which grapgh correctlydepicts the position of the ...

The period of oscillation of a mass M suspended from a spring of negligible mass is T. If along with it another mass M is also suspended, the period of oscillation will now be...

A simple pendulum has a time period T1 when on the earth′s surface and T2 when taken to a height R above the earth′s surface, where R is the radius of the earth. The value of T2 / T1 is...

A particle execute simple harmonic motion with a frequency f. The frequency with which its kinetic energy oscillates is

Two bodies M and N of equal masses are suspended from two separate massless springs of constants k1 and k2 respectively. If the two bodies oscillate vertically such that their maximum velocities are e...

A uniform cylinder of length L and mass M having cross-section area A is suspended, with its length vertical from a fix point by a mass less spring, such that it is half-submerged in a liquid of densi...

A highly rigid cubical block A of small mass M and side L is fixed rigidly on to another cubical block B of the same dimensions and of low of rigidity η such that the lower face of A completely c...

One end of a long metallic wire of length L is tied to the ceiling. The other end is tied to a massless spring constant k. A mass m hangs freely from the free end of the spring. The area of cross-sect...

A particle of mass m is executing oscillation about the origing on the x-axis. Its potential energy is U(x) = k + |x|3, where k is a positive constant. If the amplitude of oscillation is a, then its t...