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.

Answer :

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,



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Time period of a particle in SHM depends on the force constant k and mass m of the particle:


. A simple pendulum executes SHM approximately. Why then is the time period of a pendulum independent of the mass of the pendulum?

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

x(t) = A cos (ωt + φ).


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