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AP Physics C: Mechanics
7.3 Representing and Analyzing SHM
7.2 Frequency and Period of SHM
7.1 Defining Simple Harmonic Motion (SHM)
AdvancedMCQMathematicalConceptual14.7k
A vertical diagram showing an ideal spring and block suspended from a rigid horizontal ceiling. At the top, a horizontal ceiling is drawn with hatched lines above it. Suspended from the ceiling is a vertical helical spring attached at its bottom end to a rectangular block of mass \(m\). To the right of the spring-mass system, a vertical dashed reference axis is oriented downward. Three horizontal dashed tick marks on this axis indicate positions: the uppermost tick mark is labeled \(y_{eq} - A\), the middle tick mark is labeled \(y_{eq}\), and the lowest tick mark is labeled \(y_{eq} + A\). A downward arrow next to the axis is labeled \(g\). The block is shown centered at the middle tick mark \(y_{eq}\). No other labels, lines, text, or axes appear.
A vertical spring-mass oscillator with equilibrium position and turning points.
A block of mass \(m\) is suspended vertically from an ideal spring of force constant \(k\) in a uniform downward gravitational field \(g\). The block oscillates vertically with amplitude \(A\) about its static equilibrium position \(y_{eq}\) between an upper turning point at \(y_{eq} - A\) and a lower turning point at \(y_{eq} + A\). Although the gravitational force acts continuously downward throughout the oscillation, precise measurements confirm that the time required for the block to travel downward from the upper turning point to the lower turning point is strictly equal to the time required to travel upward from the lower turning point to the upper turning point. Which of the following explanations correctly accounts for why the unidirectional downward force of gravity does not cause the duration of the downward stroke to differ from the duration of the upward stroke?

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