SIMPLE HARMONIC MOTION Simple harmonic motion Any motion

SIMPLE HARMONIC MOTION

Simple harmonic motion- Any motion that is defined by period and amplitude • Period- The time for one cycle T= time/ #cycles • Frequency- cycles per second. f = #cycles/ time f=1/T (inverse of the period)

Amplitude- Displacement from equilibrium. Periodic Motion- The acceleration is directly proportional to the displacement of the objects equilibrium position. (vibrations, springs, pendulums and waves)

P E N D U L U M M O T I O N

Pendulum- Any object that swings back and forth about an axis T = time/# of swings

• Period of a pendulum is: a)Independent of mass b)Independent of release angle c)Independent of weight d)Dependent only on the length of the pendulum.

FORMULA T= 2π√ L/g T-period(sec) L-length (m) g= 9. 81 m/s 2 *SORRY FOLKS- NOT ON THE REFERENCE TABLE*

Ex: What is the period of a pendulum that is 50 cm long? T= 2π√ L/g T= 2(3. 14)√ 0. 50 m/9. 81 m/s 2 T= 1. 4 sec

Graphs period mass angle period length

KE and PE As the pendulum swings from its peak to the center, the potential energy is converted to kinetic energy.

displacement GRAPHING THE SWING time Displacement of the swing is equal to its amplitude

MECHANICAL RESONANCE An increase in the amplitude (displacement) due to an applied force. https: //www. youtube. c om/watch? v=b 0 y. Z 6 BRp ny 4 W O P