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AP Physics C: Mechanics
7.3 Representing and Analyzing SHM
7.1 Defining Simple Harmonic Motion (SHM)
IntermediateMCQGraphicalMathematical18.5k
A Cartesian coordinate graph showing acceleration \(a\) in meters per second squared on the vertical axis versus position \(x\) in meters on the horizontal axis. The horizontal axis ranges from \(-0.20\) to \(+0.20\) with major tick marks and numerical labels at \(-0.20\), \(-0.10\), \(0\), \(0.10\), and \(0.20\). The vertical axis ranges from \(-20\) to \(+20\) with major tick marks and numerical labels at \(-20\), \(-10\), \(0\), \(10\), and \(20\). A regular grid of thin dashed lines is aligned with ticks spaced every \(0.05\text{ m}\) horizontally and every \(5\text{ m/s}^2\) vertically. A single straight solid black line passes through the origin \((0, 0)\), starting at the coordinate \((-0.20, 20)\) and ending at \((0.20, -20)\). The line passes cleanly through grid intersections at \((-0.10, 10)\) and \((0.10, -10)\). No other curves, points, arrows, or text appear.
Acceleration \(a\) as a function of position \(x\) for the oscillating object.
An object executes simple harmonic motion along the \(x\)-axis such that its position as a function of time \(t\) is given by \(x(t) = C_1 \cos(\omega t) + C_2 \sin(\omega t)\), where \(C_1 = 0.060\text{ m}\) and \(C_2 = 0.080\text{ m}\). The graph shows the acceleration \(a\) of the object as a function of its position \(x\). What is the magnitude of the maximum acceleration of the object?

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