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The Tian2 Study Library AP Edition · Tian2 Editorial Bureau
Volume I · MMXXVI AP Physics C: Mechanics
Library AP Physics C: Mechanics Unit 7: Oscillations
⁂   AP Physics C: Mechanics · Unit 7

7. Oscillations

10–15% of the AP exam. Key topics: Defining Simple Harmonic Motion (SHM): restoring force proportional to displacement, The SHM differential equation: d²x/dt² = −ω²x, General solution: x(t) = A cos(ωt + φ), Period and frequency for a mass-spring system: T = 2π√(m/k), Period and frequency for a simple pendulum: T = 2π√(L/g) (small-angle approximation), Velocity and acceleration as functions of time in SHM, Energy of SHM: total mechanical energy E = ½kA² = ½mv²_max; KE-PE exchange, Physical pendulums: T = 2π√(I/mgd); requires moment of inertia.

10–15% exam weight standard track

Unit 7: Oscillations

Study guide content for this unit is being prepared. Check back soon for complete lesson notes, formula sheets, and worked examples.

Topics in this unit

  • Defining Simple Harmonic Motion (SHM): restoring force proportional to displacement
  • The SHM differential equation: d²x/dt² = −ω²x
  • General solution: x(t) = A cos(ωt + φ)
  • Period and frequency for a mass-spring system: T = 2π√(m/k)
  • Period and frequency for a simple pendulum: T = 2π√(L/g) (small-angle approximation)
  • Velocity and acceleration as functions of time in SHM
  • Energy of SHM: total mechanical energy E = ½kA² = ½mv²_max; KE-PE exchange
  • Physical pendulums: T = 2π√(I/mgd); requires moment of inertia