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AP Physics C: Mechanics
2.6 Gravitational Force
2.1 Systems and Center of Mass
AdvancedMCQMathematical18.5k
A Cartesian coordinate system with a horizontal x-axis and a vertical y-axis intersecting at the origin labeled O. A thick horizontal line segment representing a rod of length L is centered on the origin along the x-axis, spanning from x = -L/2 on the left to x = L/2 on the right, with both endpoints labeled on the axis. On the positive y-axis, a single black dot labeled P is plotted at a vertical distance labeled d above the origin. No other labels, lines, text, or axes appear.
Uniform rod of length \(L\) centered at the origin with point \(P\) on the perpendicular bisector.
A thin, uniform rod of length \(L\) and total mass \(M\) lies along the \(x\)-axis, centered at the origin. A point \(P\) is located on the \(y\)-axis at coordinates \((0, d)\), where \(d > 0\).

Which of the following expressions represents the correct integral setup to determine the magnitude of the net gravitational field at point \(P\) due to the rod?

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