Physics 4AL 6

# Physics 4AL 6 - Physics 4AL Lab for Science and Engineering...

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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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Introduction/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=-bx-Mglsinx-Bx Ix=-bx-Mglx+(Acosωt-Bx) 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(Q-Q 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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## Physics 4AL 6 - Physics 4AL Lab for Science and Engineering...

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