![harmonic motion equation harmonic motion equation](https://image.slidesharecdn.com/simpleharmonicmotion-100703004526-phpapp02/95/simple-harmonic-motion-10-728.jpg)
The main information that is needed to solve this kind of problem can be obtained from the wave that is created by this motion. Simple Harmonic Motion is an important topic in physics and the questions on it are also easy to solve. It results in an oscillation which, if uninhibited by friction or any other dissipation of energy, continues indefinitely. In mechanics and physics, simple harmonic motion is a special type of periodic motion where the restoring force on the moving object is directly proportional to the object's displacement magnitude and acts towards the object's equilibrium position. Therefore, at a point in simple harmonic motion, the maximum velocity can be calculated using the formula $v=A\omega $.
![harmonic motion equation harmonic motion equation](https://slidetodoc.com/presentation_image_h/92df33976b060e38b37219e30bbfea9f/image-15.jpg)
So, substituting the value of y in equation, we get: Now, we know that velocity is maximum when $y=0$, i.e., displacement is zero and acceleration is zero, which means the system is in equilibrium.
#Harmonic motion equation download
In Simple Harmonic Motion, we know that velocity can be found using the formula, Equations of Simple Harmonic Motion Download this Excel file in order to experiment with changing the various parameters in order to see how that influences the graphs of position, velocity, and acceleration vs. so from the wave we can know the point where velocity will be maximum and the corresponding value of other variable at that point, which when substituted in the formula for velocity will give the formula for maximum velocity.
![harmonic motion equation harmonic motion equation](https://image.slidesharecdn.com/simpleharmonicmotion-090324121249-phpapp02/95/simple-harmonic-motion-17-728.jpg)
Hint: In this type of questions, to get the formula for calculating maximum velocity, first the formula for velocity should be known and then since simple harmonic motion is related to waves, which has amplitude, wavelength, etc.