Physics Section 11.1 Apply harmonic motion An object that follows a repeated path in equal intervals of time exhibits periodic motion.
Simple harmonic motion is a (periodic motion) vibration about an equilibrium position in which the force and the acceleration are directed toward the equilibrium and are proportional to the displacement from the equilibrium. http://www.youtube.com/watch?v=eeYRkW8V7Vg
Hooke’s Law F = -kx F = spring force (N) K = force constant (N/m) x = displacement (m)
example A mass of .35 kg is attached to a vertical spring causing it to stretch 14 cm. What is the force constant of the spring?
example A spring has a force constant of 75 N/m. What force will cause it to stretch the spring .40 m?
A pendulum exhibits harmonic motion if the angle of rotation remains small. In harmonic motion, the sum of the potential and kinetic energies is constant. http://www.youtube.com/watch?v=bPtlRf6dg8c
assignment Page 375 Problems 1 - 4