Simple Harmonic...

A ring of radius R is hung by a nail on its periphery such that it can freely rotate in its vertical plane. The time period of the ring for small oscillations is:

In a stationary lift a spring-block system oscillates with a frequency f. When the lift accelerates up the frequency becomes f', then 

The equation of a SHM is given as x = 5 sin(4πt + π/3), where t is in seconds and x in meters. During a complete cycle, the average speed of the oscillator is:

If a simple pendulum is brought deep inside a mine from earth surface, its time period of oscillation will 

The initial phase of the particle executing SHM with y = 4 sin ωt + 3 cos ωt is 

Two simple harmonic motions are represented by y₁ = 6 sin ( 2πt + π/3) and y₂ = 3(sin 2πt + cos 2πt). The ratio of their amplitudes is

The graph between velocity and acceleration of a particle executing S.H.M. can be

The equation of simple harmonic motion is given by X = (4 cm)sin (6.25 t + 5π/3), then maximum velocity of the particle in simple harmonic motion is: 

The time period of a simple pendulum in a stationary trolley is T₁. If the trolley is moving with a constant speed, then time period is T₂, then 

A particle executes S.H.M with a frequency of 20 Hz. The frequency with which its potential energy oscillates is: