Write the equation of simple harmonic motion
Answers
Simple harmonic motion is any motion where a restoring force is applied that is proportional to the displacement and in the opposite direction of that displacement. Or in other words, the more you pull it one way, the more it wants to return to the middle. The classic example of this is a mass on a spring, because the more the mass stretches it, the more it feels a tug back towards the middle. A mass on a spring can be vertical, in which case gravity is involved, or horizontal on a smooth tabletop.
If you imagine pulling a mass on a spring and then letting go, it will bounce back and forth around an equilibrium position in the middle. Like with all simple harmonic motion, the velocity will be greatest in the middle, whereas the restoring force (and therefore acceleration) will be greatest at the outside edges (at the maximum displacement). Another example of simple harmonic motion is a pendulum, though only if it swings at small angles.
Simple harmonic motion is a motion where the applied restoring force is proportional to the displacement and is in the opposite direction of the displacement. This can be given as follows:
T = 2 * π * √(m/k)
where
T = time period of oscillation in seconds
m = mass of the object in kgs
k = spring constant of spring (N/m)