Paragraph 1 — SHM Basics: In Simple Harmonic Motion, the restoring force is proportional to ________ [displacement] and directed toward the ________ [mean position]. The displacement is x = A sin(ωt + φ), where A is the ________ [amplitude] and ω is the ________ [angular frequency]. The velocity is maximum at x = ________ [0 / mean position] and equals ________ [Aω]. The acceleration is maximum at x = ________ [±A / extremes] and equals ________ [Aω^{2}]. Kinetic energy equals potential energy at x = ________ [A/√2].

Paragraph 2 — Standing Waves and Pipes: When two identical waves travel in ________ [opposite] directions, they form a ________ [standing] wave described by y = 2A sin(kx) cos(ωt). Points of zero displacement are called ________ [nodes], occurring at x = nλ/________ [2]. Points of maximum displacement are called ________ [antinodes], at x = (2n+1)λ/________ [4]. An open organ pipe produces ________ [all] harmonics, while a closed organ pipe produces only ________ [odd] harmonics. The fundamental of a closed pipe is ________ [half] that of an open pipe of the same length.

Paragraph 3 — Doppler Effect: The Doppler formula is f' = f\frac{v ________ v_O}{(v ________ v_S)} [± / ∓]. When the observer moves ________ [toward] the source, add $v_O$ to the ________ [numerator], giving f' ________ [>] f. When the source moves ________ [toward] the observer, subtract $v_S$ from the ________ [denominator], also giving f' ________ [>] f. The beat frequency between two waves is $f_{beat}$ = ________ [|$f_{1}$ − $f_{2}$|].

Answer Key: [displacement] [mean position] [amplitude] [angular frequency] [0] [Aω] [±A] [Aω^{2}] [A/√2] [opposite] [standing] [nodes] [2] [antinodes] [4] [all] [odd] [half] [±] [∓] [toward] [numerator] [>] [toward] [denominator] [>] [|$f_{1}$ − $f_{2}$|]