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AP Physics 1
7.2 Frequency and Period of SHM
7.1 Defining Simple Harmonic Motion (SHM)
IntermediateMCQMathematicalProportional AnalysisConceptual22.9k
A rectangular outline representing an elevator cab. Suspended from the flat ceiling inside the cab are two systems side by side: on the left, a vertical coiled spring with a small square block labeled m at its bottom; on the right, a straight line of length L representing a pendulum string tilted slightly from the vertical with a circular bob labeled m at its lower end. To the right of the cab, an upward-pointing vertical arrow is labeled with a vector symbol \vec{a}. No other labels, lines, text, or axes appear.
A vertical spring-mass oscillator and a simple pendulum inside an elevator cab.
A vertical spring-mass oscillator with a block of mass \(m\) on an ideal spring of spring constant \(k\) and a simple pendulum with a bob of mass \(m\) on a string of length \(L\) both execute small-amplitude oscillations inside an elevator cab at rest on Earth. The elevator then begins accelerating upward with a constant acceleration of magnitude \(a\). How do the period of the spring-mass oscillator and the period of the simple pendulum in the accelerating elevator compare to their initial periods when the elevator was at rest?

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