Lab Manual E8 - Simple Harmonic Motion

# Lab Manual E8 - Simple Harmonic Motion - Experiment 11...

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Experiment 11 Simple Harmonic Motion Advanced Reading (SM) 14-1, 14-2, 14-3 Equipment spring • metal ball • wooden ball • pendulum clamp and rod string • meter stick weight hanger • masses (slotted) stopwatch • Dial-o-gram balance Objective The objective of this experiment is to observe how the periods of two types of oscillators (a pendulum and a spring-mass system) vary with certain parameters. T h e o r y The period of an oscillator is defined as the time needed for the oscillator to one complete cycle of motion. The period of a simple pendulum is T = 2 π L g , ( 1 ) where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity. For a spring that obeys Hooke's law (F=-k x ) the period is T = 2 π m k , ( 2 ) where m is the mass suspended from the spring and k is the spring constant of the spring. Procedure Part 1: Simple pendulum The first part of this experiment is to test the length and mass dependence of the period of a simple pendulum.

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