Snazzy said:That's right, a ball bouncing up and down would be periodic motion, but not simple harmonic motion. The ball bouncing doesn't follow a sinusoidal curve, as well.
Snazzy said:http://www.claflin.edu/Academic/Science-mathematics/Mathematics/nasa_nova/doc2_files/image002.gif
Except if it doesn't lose energy on its way up, all the peaks are equal.
Simple Harmonic ball bounce refers to the motion of a ball that is bouncing up and down due to the force of gravity and its own elasticity. It follows a specific pattern of motion known as simple harmonic motion, where the ball moves back and forth between two extremes at a constant rate.
The Simple Harmonic ball bounce can be affected by several factors, including the mass and elasticity of the ball, the surface it is bouncing on, and the force of gravity. These factors can alter the amplitude (height) and frequency (speed) of the ball's bounce.
The period, or time it takes for one complete bounce, of a Simple Harmonic ball bounce can be calculated using the formula T=2π√(m/k), where T is the period, m is the mass of the ball, and k is the spring constant (a measure of the ball's elasticity).
Yes, Simple Harmonic ball bounce can be observed in real life. It is a common phenomenon that can be seen in activities such as bouncing a basketball or jumping on a trampoline. It is also used in many scientific experiments and studies.
The key difference between Simple Harmonic ball bounce and other types of bounces is that it follows a specific pattern of motion. Unlike other bounces, where the ball's trajectory may be affected by external forces or friction, Simple Harmonic ball bounce is a purely mathematical and predictable motion.