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AP Physics 1
7.2 Frequency and Period of SHM
IntermediateMCQGraphicalMathematicalConceptual24.8k
A schematic of a simple pendulum. A string of length L is attached to a fixed ceiling. The string makes a small angle theta with the vertical dashed equilibrium line. A small spherical mass m is attached to the end of the string. An arched double-headed arrow at the bottom indicates the path of oscillation.
A simple pendulum of length L and mass m oscillating at a small angle.
A student conducts an experiment to determine the local acceleration due to gravity, g, by measuring the period T of a simple pendulum for several different string lengths L. The student intends to linearize the data so that the value of g can be calculated from the slope of a best-fit line. Which of the following combinations of quantities, when plotted on the vertical and horizontal axes, would result in a linear graph with a slope S such that g = "4\pi^2 / S"?

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