When the displacement in SHM is one half the amplitude A what fraction of the total energy is a kinetic energy b potential energy?

Potential energy is given as $U = \dfrac{1}{2}k\dfrac{{{x_m}^2}}{4}$ since it’s given that amplitude is half of maximum amplitude. Hence the fraction of potential energy to total energy is $0.25$. Hence, the fraction of Kinetic energy to total energy is $0.75$.

At what displacement are kinetic and potential energies equal?

In a SHM kinetic and potential energies becomes equal when the displacement is 1/√(2) times the amplitude.

What fraction of the total mechanical energy is kinetic of the displacement is 1/2 the amplitude?

What fraction of the total energy is K.E. when the displacement is one half of a amplitude of a particle executing S.H.M? Kinetic energy is equal to three fourth (i. e. 34) of the total energy, when the displacement is one-half of its amplitude.

Why kinetic energy is half potential energy?

The kinetic energy of a satellite in a circular orbit is half its gravitational energy and is positive instead of negative. When U and K are combined, their total is half the gravitational potential energy. The gravitational field of a planet or star is like a well.

How do you calculate simple harmonic motion?

That is, F = −kx, where F is the force, x is the displacement, and k is a constant. This relation is called Hooke’s law. A specific example of a simple harmonic oscillator is the vibration of a mass attached to a vertical spring, the other end of which is fixed in a ceiling.

What is angular displacement in oscillation?

Angular SHM involves “to and fro” angular oscillation of a body about a central position or orientation. The particle or the body undergoes small angular displacement about mean position. This results, when the body under stable equilibrium is disturbed by a small external torque.