Important Definitions
Periodic Motion - Motion repeated in equal intervals of time.
Restoring Force - A force that brings an object back to equilibrium
Simple Harmonic Motion - When the restoring force and the displacement are proportional to each other in a sinusoidal motion
Equilibrium Position - The vibrating object resides with no motion
Amplitude - Maximum displacement from equilibrium
Period - Amount of time it takes an object to go through one cycle of motion
Frequency - How many cycles are in one second
Angular frequency - The number of rotations in one second
Overview of Harmonic Motion
Periodic Motion - Motion repeated in equal intervals of time.
Restoring Force - A force that brings an object back to equilibrium
Simple Harmonic Motion - When the restoring force and the displacement are proportional to each other in a sinusoidal motion
Equilibrium Position - The vibrating object resides with no motion
Amplitude - Maximum displacement from equilibrium
Period - Amount of time it takes an object to go through one cycle of motion
Frequency - How many cycles are in one second
Angular frequency - The number of rotations in one second
Overview of Harmonic Motion
Energy Transfers
While an object is in simple harmonic motion, energy is constantly being transferred from potential to kinetic energy. At the highest point, it's maximum displacement, the object has the most potential energy, and when the object is closest and at equilibrium the energy is transferred to kinetic energy.
While an object is in simple harmonic motion, energy is constantly being transferred from potential to kinetic energy. At the highest point, it's maximum displacement, the object has the most potential energy, and when the object is closest and at equilibrium the energy is transferred to kinetic energy.
Variables that Affect Period
Period (T) = 1/Frequency = 2π / ω
Period (T) = 1/Frequency = 2π / ω
Period of a Spring is affected by
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Period of a Pendulum is affected by
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Inertial vs. Gravitational Mass
Inertial Mass - Mass based on how resistant an object is to change
Gravitational Mass - Mass based on the gravitational field strength of an object
Both masses equal the same
In order to find Inertial Mass you can put an object in simple harmonic motion and solve for the mass through the period and spring constant
Inertial Mass - Mass based on how resistant an object is to change
Gravitational Mass - Mass based on the gravitational field strength of an object
Both masses equal the same
In order to find Inertial Mass you can put an object in simple harmonic motion and solve for the mass through the period and spring constant
Is It SHM?
In order for harmonic motion to be classified as simple harmonic motion it needs to follow two rules
- It follows a sinusoidal path, such as a cosine or sine wave
- The restoring force and the displacement are proportional throughout the motion
In order for harmonic motion to be classified as simple harmonic motion it needs to follow two rules
- It follows a sinusoidal path, such as a cosine or sine wave
- The restoring force and the displacement are proportional throughout the motion