C.1 Simple harmonic motion

Objective notes

9 learning objectives

—C.1.1—Conditions for SHM

• Conditions that lead to simple harmonic motion.

—C.1.2—SHM defining equation

• SHM defining equation: a = -ω^2x.

—C.1.3—SHM quantities

• Describe SHM using T, f, ω, amplitude, equilibrium position and displacement.

—C.1.4—Period, frequency and angular frequency

• Oscillation period relations: T=1/f=2π/ω.

—C.1.5—Energy in SHM

• SHM energy alternates between kinetic and potential forms.

—C.1.6—SHM graphs

• Use displacement-time graphs to infer SHM velocity and acceleration.

—C.1.7—SHM from circular motion

• Qualitative approach to energy changes during one cycle of an oscillation.

—C.1.8 (HL)—Phase angle

• HL: include phase angle in SHM descriptions.

—C.1.9 (HL)—SHM equations

• HL: solve SHM with x=x0 sin(ωt) and v=v0 cos(ωt).