Equation of SHM
Equation of SHM: Overview
This Topic covers sub-topics such as Simple Harmonic Motion, Amplitude, Phase, Periodic Motion, Oscillatory Motion, Angular Frequency, Definition of SHM, Mean Position, Equation of SHM, Restoring Force, Angular SHM and, Linear SHM
Important Questions on Equation of SHM
Electrons moving with different speeds enter a uniform magnetic field in a direction perpendicular field. They will move along circular paths, time periods of rotation will be :

The graph of a particle undergoing simple harmonic motion is as shown in the figure.
The acceleration of the particle at is

Two particles are performing SHM in same phase. It means that:

A particle of mass is under an influence of a force The particle when disturbed will oscillate

Ratio of maximum acceleration to the maximum velocity of a simple harmonic oscillator is

A particle executing simple harmonic motion has a maximum speed of and maximum acceleration of . The period of oscillation is

The displacement of a simple harmonic motion of amplitude when its kinetic energy is equal to its potential energy is

Match the following entries in column-I and column-II with respect to an oscillating spring-block system:
column-I | column-II | ||
(a) | Mass of the block is doubled | (i) | Energy of oscillation becomes times |
(b) | Spring constant is made times | (ii) | Speed of block becomes times |
(c) | Amplitude of oscillations is doubled | (iii) | becomes times |
(d) | Angular frequency is doubled | (iv) | Time period becomes times |

A simple harmonic oscillation is represented by Its speed is maximum when equals

A particle of mass executes simple harmonic motion of amplitude When it passes through the mean position, its kinetic energy is If the initial phase of the oscillation is then the equation of its motion is ______

Thus, simple harmonic motion (SHM) is not any periodic motion but one in which displacement is sinusoidal function of time.

Two SHM’s are respectively by and The phase difference between the two is

When a spring-mass system vibrates with simple harmonic motion, the mass in motion reaches its maximum velocity when its acceleration is _____ (maximum\minimum).

A block of mass undergoes simple harmonic motion with amplitude on the frictionless surface. Block is attached to a spring of force constant . If the block is at at time and equilibrium position is at then the blocks position as a function of time (with x in centimetres and t in seconds) ?

A mass of is kept vertically on the top of a massless spring. What is the maximum compression of the spring if the spring constant is . Assume .

Suppose a particle P is moving uniformly on a circle of radius A with the angular speed . The sense of rotation is anticlockwise. If the , it makes an angle of with the positive direction of the x-axis. In time , it will cover a further angle .What is the projection of position vector on the X-axis at time .

If we tie a stone to the end of a string and move it with a constant angular speed in a horizontal plane about fixed point, the stone would perform a :

If the particle is moving in circular motion under SHM, then its x-projection is depending upon

The x-projection for a certain particle in circular motion under SHM with period of , amplitude of oscillation is and initial phase of is

Which of the following conditions is not sufficient for S.H.M. and why?
