Simple harmonic motion Flashcards

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1
Q

Equilibrium equation with gravity

A

equilibrium is reached when the force of gravity is equal in magnitude but opposite in direction to the restorative force of the spring. mg = kx

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2
Q

Period, T, for a spring-mass system

A

T = 2pi*sqrt(m/k), where k is the spring constant and m is the mass. Note that the period does NOT depend on the displacement of the spring or the gravity in which the spring is oscillating.

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3
Q

Period, T, for a pendulum

A

T = 2pi*sqrt(L/g), where L is the length of the string and g is the acceleration of gravity. Note that the mass at the end of the string and the displacement from equilibrium DO NOT affect the period of the pendulum at all

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4
Q

Potential energy

A

.5kx^2 (greatest at the height of the oscillation and the bottom of the oscillation)

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5
Q

Kinetic energy

A

.5mv^2 (greatest at the middle of the oscillation)

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6
Q

Acceleration

A

greatest at the height of the oscillation and at the bottom of the oscillation (F = ma)

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