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Physics
»
D.
Oscillations
»
D.1.
Simple Harmonic Motion
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Unit Challenge
Introduction to Harmonic Motion
Overview
Recognizing examples and non-examples of harmonic motion
Hooke’s Law
Overview
Solving problems using the equation F
_{s}
= -kx
Comparing the spring constant (stiffness of springs) of springs using a “force (F) vs. stretched length (x) ” graph
Kinematics of Spring-Block Oscillators
Overview
Recognizing that the period represents the amount of time for one cycle to complete
Recognizing that the frequency represents that number of cycles that complete in 1 second
Calculating period using the equation period = time / cycles
Calculating the frequency using the equation Frequency = cycles / time
Calculating the frequency and period using the equations f = 1 / T and T = 1 / f
Determining the frequency from the mass of the block and the spring constant using f = 1/2π √ (k/m)
Determining the period from the mass of the block and the spring constant using T = 2π√ (m/k)
Simple Pendulums
Overview
Determining the factors that affect the period of a pendulum
Determining the restoring force for a pendulum using the equation F
_{restoring}
= mgsinθ
Determining the frequency of a pendulum from the length of the pendulum and g using f = 1/2π √ (g/L)
Determining the period of a pendulum from the length of the pendulum and g using T = 2π√ (L/g)
Kinematics of Spring-Block Oscillators — Calculating the frequency and period using the equations f = 1 / T and T = 1 / f
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