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Physics 4AL
Lab for Science and Engineering
Mechanics
Experiment:
Lab
Name:
UID:
Date:
TA:
Partner:
Lab Station:
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View Full DocumentIntroduction/Purpose/Theory
The purpose of this lab is to explore the movement of pendulums, and analyze
how their movement can be interpreted. We’ll explore oscillations with various levels of
damping and with a driving frequency. From here we can understand the Simple Harmoic
Motion
patterns of pendulum oscillation, as well as determine the resonance frequency
by analyzing amplitudes. .
Equations
The equations necessary pertain to pendulums and oscillation motion.
Ix=bxMglsinxBx
Ix=bxMglx+(AcosωtBx)
An = ABS(Vn+1 – Vn)
Rn = (An+1/An)
Qn = Pi/2(ln(Rn))
F the = (1/2Pi)*SQRT(mass*Gravity*I center or mass/Moment of inertia)
F damp = Fthe * SQRT( 1 – 1/(4(quality factor)^2)
Q = F resonance / delta F
DeltaQ = ABS(QQ lasttime)
Difference = (2*DeltaQ)/(Q+Q lasttime)
Procedure
This lab was conducted in two parts. The first part involves measuring the effect
of damping on pendulum movement. We first measure the dimensions of the pendulum to
determine it’s mass, lengths, and moment of inertia. From here, we measure the
oscillations at various damping levels, and from this, we can determine the Quality of
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 Fall '08
 SLATER
 Physics, mechanics

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