Q. 275.0( 1 Vote )

# Draw a graph to show the variation of P.E., K.E. and total energy of a simple harmonic oscillator with displacement.

Total energy of S.H.M is constant, we get a straight line

Kinetic energy for the simple harmonic motion is given as, where x = displacement

ω = angular velocity

m = mass of the system

a = amplitude

the above equation is an equation of the downward opening parabola symmetric along y-axis and vertex at on y-axis

Potential energy for the simple harmonic motion is given as, where x = displacement

ω = angular velocity

m= mass of the system

a = amplitude

the above equation is an equation of the upward opening parabola symmetric along y-axis and vertex at (0,0) on y-axis

following is the graph we get, Rate this question :

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RELATED QUESTIONS :

The motion of a particle executing simple harmonic motion is described by the displacement function,

If the initial (t = 0) position of the particle is 1 cm and its initial velocity is ω cm/s, what are its amplitude and initial phase angle? The angular frequency of the particle is π s–1. If instead of the cosine function, we choose the sine function to describe the SHM x = B sin (ωt + α), what are the amplitude and initial phase of the particle with the above initial conditions.

NCERT - Physics Part-II