Simple harmonic motion (HSC SSCE Mathematics Extension 2): Flashcards
📚Flashcards
Practise the cards
10 cards from this deck
ShowHide
Practise the cards
10 cards from this deck
What does Simple Harmonic Motion (SHM) describe?
What does Simple Harmonic Motion (SHM) describe?
Oscillatory motion with acceleration toward a fixed point.
What is the formula for displacement in SHM?
What is the formula for displacement in SHM?
x(t) = A cos(ωt + φ)
How is velocity defined in SHM?
How is velocity defined in SHM?
v(t) = -Aω sin(ωt + φ)
What is the relationship between frequency and period?
What is the relationship between frequency and period?
f = 1/T
What does amplitude (A) represent in SHM?
What does amplitude (A) represent in SHM?
The greatest distance from the equilibrium position.
What is the formula for kinetic energy in SHM?
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?
What is the formula for potential energy (PE) in SHM?
PE = 1/2 kx²
What is the total mechanical energy in SHM?
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?
What is the period formula for a pendulum in SHM?
T = 2π√(L/g)
What is the significance of SHM in real-world applications?
What is the significance of SHM in real-world applications?
Used in pendulums and spring-mass systems.
