Problem related to Simple Harmonic Oscillations

[Hareesh]

A ball falling through a 'V' shaped curve attains Simple Harmonic Oscillations or not. If yes give equation.
Yes it is simple harmonic oscillation. But how i can prove it.

 

[heth]

What condition needs to be true for a repetitive motion to be simple harmonic?

 

[Hareesh]

Amplitude is constant and period and no external influence.Any motion that repeat itself after a certain period is known a (periodic) motion and since a motion can be represent in a sinusoidal wave form, (i.e. sine & cosine) it is called harmonic motion. The simplest type of such harmonic vibration is called simple harmonic motion (s.h.m.).

 

[heth]

OK... that's a decent description of what the motion looks like. But there's a condition in physics that will always lead to the type of motion you describe if the condition is true.

It has something to do with the force an object experiences, and the object's displacement from equilibrium position...

 

[tiny-tim]

Welcome to PF!

Hi Hareesh! Welcome to PF!

Amplitude is constant and period and no external influence.Any motion that repeat itself after a certain period is known a (periodic) motion and since a motion can be represent in a sinusoidal wave form, (i.e. sine & cosine) it is called harmonic motion. The simplest type of such harmonic vibration is called simple harmonic motion (s.h.m.).

"No external influence" doesn't matter … shm is a description of a type of movement, and it doesn't matter what causes it.

Periodic motion is simple harmonic only if it satisfies a particular equation, which as heth says, relates force to displacement-from-equilibrium.

What is that equation?