Simple Harmonic...

A hollow metal sphere is filled with water through a small hole in it. It is hung by a long thread and is made to oscillate. Water slowly flows out of the hole at the bottom. Select the correct variation of its time period.

A uniform rod of mass m and length l is suspended about its end. The time period of small angular oscillations is:

A uniform disc of mass M and radius R is suspended in a vertical plane from a point on its periphery. Its time period of oscillation is:

A block of mass m hangs from three springs having the same spring constant k. If the mass slightly displaced downwards, the time period oscillations will be:

The SHM of a particle is given by the equation x = 2 sinωt + 4 cosωt. Its amplitude of oscillations is:

The displacement of a particle is represented by the equation y = 3 cos (π/4 − ωt). The motion of the particle:

The displacement of a particle is represented by the equation y = sin³(ωt). The motion is 

The relation between acceleration and displacement of four particles are given below.

Which one of the particles is exempting simple harmonic motion?

A particle is acted simultaneously by mutually perpendicular simple harmonic motion x=acosωt and y = asinωt. The trajectory of motion of the particle will be:

The displacement of a particle varies with time according to the relation y = asinωt + bcosωt.