Simple harmonic motion (HSC SSCE Mathematics Extension 2): Flashcards

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Simple Harmonic Motion
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What does Simple Harmonic Motion (SHM) describe?

Oscillatory motion with acceleration toward a fixed point.

What is the formula for displacement in SHM?

x(t) = A cos(ωt + φ)

How is velocity defined in SHM?

v(t) = -Aω sin(ωt + φ)

What is the relationship between frequency and period?

f = 1/T

What does amplitude (A) represent in SHM?

The greatest distance from the equilibrium position.

What is the formula for kinetic energy in SHM?

KE = 1/2 mω²A² cos²(ωt)

What is the formula for potential energy (PE) in SHM?

PE = 1/2 kx²

What is the total mechanical energy in SHM?

Constant, as KE and PE transform into each other.

What is the period formula for a pendulum in SHM?

T = 2π√(L/g)

What is the significance of SHM in real-world applications?

Used in pendulums and spring-mass systems.

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