2 times the potential energy attains maximum value during one complete oscillation
You should substitute your solution in the equation. If the solution is correct you will receive equality. Otherwise your solution is wrong.
Yes, complex numbers can be used to solve certain momentum-energy problems in physics, particularly those involving waves and oscillations. In quantum mechanics, for example, the wavefunction of a particle can be described using complex numbers. The momentum and energy of the particle are related to the frequency and wavelength of the wavefunction, which are both expressed in terms of complex numbers. Furthermore, in classical mechanics, complex numbers can be used to describe the motion of a harmonic oscillator. The position and momentum of the oscillator can be represented using complex numbers, which can then be used to calculate the energy of the system. Overall, while complex numbers are not always necessary to solve momentum-energy problems, they can be a powerful tool in certain contexts, particularly those involving waves and oscillations. Best Posses Grow Your Energy: h ttp://bitly.ws/BwLT (Note: COPY LINK AND CLOSE SPASES IN BROWSER )
I'm not sure what your question is asking, but I can try to give an answer. The rotation of molecules, for example, are quantized at the quantum scale. We can use the rigid rotor model from classical physics to help describe the potential part of the Hamiltonian operator, as well as the form of the wave equation needed to find the energy of a particular rotational state. It would be similar to using the simple harmonic oscillator to model the potentials and wavefunctions needed needed calculate the energy of vibrational levels of a molecule.
what is difference between simple harmonic motion and vibratory motion?
because we see that in simple harmonic motion there are trignometric function from which we can define its equation of motion. now we know that these function are periodically but bounded to some conditions that's why all periodic function can not be simple harmonic motions.
second quantazation of harmonic oscillator
It gets wet.
In case of HARMONIC OSCILLATOR the relation b/n FORCE AND DISPLACEMENT is LINEAR but in the case of ANHARMONIC OSCILLATOR relation b/n force and displacement is not linear.Hence this non-linearity arises the fact that the spring is not capable of exerting a restoring force that is proportional to the displacement.
by doubling the amplitude.
A simple pendulum exhibits simple harmonic motion
The acceleration is greatest at the top and bottom of the motion.
The motion of the simple pendulum will be in simple harmonic if it is in oscillation.
Any oscillation in which the amplitude of the oscillating quantity decreases with time is referred as damped oscillation. Also known as damped vibration, http://www.answers.com/topic/damped-harmonic-motion
The motion of swinging is an example of forced, damped oscillation. A more simple form of this is simple harmonic oscillation and can be read about here: http://en.wikipedia.org/wiki/Simple_harmonic_motion
tanong q rin yan....hehe
When the acceleration is directly proportional to the displacement from a fixed point and always directed towards that fixed point then such an oscillation or vibration is said to be simple harmonic
If you tie a string to the end of a block and grab the end of the open string, moving your hand up and down, you will in effect, be creating a harmonic oscillation.