Write down the equation of a simple harmonic motion whose amplitude is 5 cm, epoch is `0^@` and the number of vibrations per minute is 150.

Write down the characteristics of simple harmonic motion.

The equation of simple harmonic motion of a source is (d^2x)/(dt^2)+px=0 , find the time period.

Write the equation of motion of a particle executing simple harmonic motion, whose displacement is maximum at t = 0.

Show that the equation x =acos^2omegat represents a simple harmonic motion. Find the:- amplitude.

Show that the points whose coordinates are (1,4) , (3,-2) and (-3,16) are on the same straight line . Write down the equation of the straight line on which the points lie Verify that this line is perpendicular to the line whose equation is 2x-6y+13=0 .

It two physical quantities a and b are related by the equation a= kb where k is dimensionless constant, then the principle of dimensional homogeneity demands that a and b have the same dimension. However the proportionality constant k cannot be determined by dimensional analysis only. It may at most be written that a prop b if a and b are of the same dimension. If a particle of mass m executes simple harmonic motion with amplitude A and frequency f, then its energy is proportional to

The equation x=(sqrt3sinpit+cospit) cm represents a simple harmonic motion x-axis. Determine the amplitude, time period, maximum velocity and maximum acceleration for the motion.

Show that the equation x=acos^(2)omegat represents a simple harmonic motion. Find the (i) amplitude, (ii) time period and (iii) position of equilibrium of the particle.