Learning objective
C.1.1—Conditions for SHM
• Conditions that lead to simple harmonic motion.
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Course review
C.1 Simple harmonic motion
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Learning objective
C.1.2—SHM defining equation
• SHM defining equation: a = -ω^2x.
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Learning objective
C.1.3—SHM quantities
• Describe SHM using T, f, ω, amplitude, equilibrium position and displacement.
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Learning objective
C.1.4—Period, frequency and angular frequency
• Oscillation period relations: T=1/f=2π/ω.
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Learning objective
C.1.5—Mass–spring period
• The time period of a mass–spring system is T=2π√(m/k).
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Learning objective
C.1.6—Simple pendulum period
• The time period of a simple pendulum in the small-angle approximation is T=2π√(l/g).
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Learning objective
C.1.7—Qualitative energy changes in SHM
• Describe qualitatively how kinetic and potential energy change during one cycle of an oscillation; total mechanical energy remains constant for an ideal oscillator.
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Learning objective
C.1.8 (HL)—Phase angle
• HL: include phase angle in SHM descriptions.
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Learning objective
C.1.9 (HL)—SHM equations
• HL: solve SHM with x=x0 sin(ωt) and v=v0 cos(ωt).
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