x0 and the parameters k and m determine the energy of the oscillations. The force F is a conservative force and so is expressed as the rate of change with x of a potential energy function U (x).
in our example. The total energy E of the oscillating atom at time t is the sum of potential and kinetic energies. Hence
Or, using equation (iii),
Since the sum of the squares of the sines and cosines of any angle equation unity.
We see that, as expected, E is constant for fixed m, k, and x0 and during the motion potential and kinetic energy are interchanged continuously, the former being zero when the speed is at its maximum value, and the latter being zero when the speed is zero at the turning points of the oscillation.
We are the leading online assignment help provider. Find answers to all of your doubts regarding the Energy in simple harmonic motion. Assignmenthelp.net provide homework, assignment help to the school, college or university level students. Our expert online tutors are available to help you in Energy in simple harmonic motion. Our service is focused on: time delivery, superior quality, creativity and originality.
Following are some of the areas in physics Simple Harmonic Motion which we provide help:
Simple Harmonic Motion | Energy In Simple Harmonic Motion | Simple Harmonic Motion Problems | Physics Online Tutor | Physics Assignment Help | Physics Tutors | Physics Homework Help | Physics Tutor | Physics Help | Physics Projects | Physics Problems | Physics Online Help | Physics Online Tutoring | High School Physics | Homework Tutor | Physics Experiments | Online Tutoring