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What is the worded definition of simple harmonic motion?
An oscillation in which the acceleration of an object is directly proportional to its displacemet from its equilibrium position, and it directed towards the equilibrium.
What is the formula definition of simple harmonic motion?
a ∝ −x
A body in simple harmonic motion has “___” ?
acceleration
What can angular speed be replaced with in the formula for acceleration
2πf
What shape is the displacement/time graph
cosine wave
What shape is the velocity/time graph
sine wave
What is the shape of the acceleration/time graph
-cosine wave
what can you multiply to find maximum velocity?
ωA
What can you multiply to find maximum acceleration?
ω²A
What is the phase relationship between displacement and acceleration?
Anti-phase
Define restoring force
The net force that always acts to pull an object back toward its equilibrium position
What is the worded definition of mechanical energy?
The sum of an object’s kinetic energy and potential energy
What is natural frequency
The frequency at which a system oscillates when not subjected to a continuous or repeated external force
What is resonance
When driving frequency = natural frequency
What happens when the driving frequency gets close to the resonant frequency?
The system gains more energy so vibrates at a higher amplitude
What is damping?
The reduction in energy and amplitude of oscillations due to resistive forces on the oscillating system
What are the types of damping?
Light
Critical
Heavy
What does the graph of light damping look like and what are the key features of the graph?
What does the graph of critical damping look like and what are the key features of the graph?
What does the graph of heavy damping look like and what are the key features of the graph?