AP Physics 1: Algebra-Based Flashcards: Representing and Analyzing SHM
Written by AP Content Team, Verified for 2026 AP Exams, Last updated: May 2026
Review key ideas with interactive flashcards. This set includes 10 cards to help you master important concepts.
What is the term for the argument of the cosine function, $(2\pi ft)$, in the displacement equation for SHM?
This term, often represented by the Greek letter phi (φ), is the phase of the motion, which describes the position of the object in its cycle at a given time t.
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What is the term for the argument of the cosine function, $(2\pi ft)$, in the displacement equation for SHM?
This term, often represented by the Greek letter phi (φ), is the phase of the motion, which describes the position of the object in its cycle at a given time t.
State the principle of isochronism as it applies to SHM.
The principle of isochronism in SHM states that the period of oscillation is independent of the amplitude.
What is a primary method for analyzing the properties of simple harmonic motion?
The properties of SHM can be determined and analyzed using graphical representations of its displacement, velocity, or acceleration over time.
An experimenter plots the position of an oscillating mass over time and observes a sinusoidal curve. What does this graphical representation indicate?
This indicates that the object is likely exhibiting simple harmonic motion, as SHM is characterized by sinusoidal graphical representations.
How does changing the amplitude of a system in SHM affect its period?
Changing the amplitude of a system exhibiting SHM will not change the period of that system.
What three kinematic quantities are used to describe an object undergoing SHM?
The displacement, velocity, and acceleration of the object are used to describe its motion in SHM.
What is the general equation for the displacement of an object in SHM, as measured from its equilibrium position?
The displacement can be represented by the equations $x = A\cos(2\pi ft)$ or $x = A\sin(2\pi ft)$, where A is amplitude and f is frequency.
If a student creates a graph to analyze an object's SHM, what key feature of the graph would allow them to determine the amplitude 'A'?
The amplitude 'A' can be determined by finding the maximum value (the crest) or the absolute value of the minimum value (the trough) on the displacement vs. time graph.
In the SHM displacement equation $x = A\cos(2\pi ft)$, what does the variable 'A' represent?
'A' represents the amplitude, which is the maximum displacement of the object from its equilibrium position.
A pendulum is swinging with an amplitude of 5 degrees. If you increase its initial swing to an amplitude of 10 degrees, how does this affect the time it takes to complete one full swing?
The time for one full swing (the period) will not change, because the period of SHM is independent of the amplitude.