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AP Physics C: Mechanics
7.2 Frequency and Period of SHM
7.1 Defining Simple Harmonic Motion (SHM)
IntermediateMCQMathematicalConceptual18.6k
A grayscale diagram showing two side-by-side configurations labeled Configuration 1 and Configuration 2. On the left, Configuration 1 shows a horizontal ceiling cross-hatched above, from which a vertical helical spring hangs downward. A square block of mass labeled m is attached to the bottom of the spring. On the right, Configuration 2 shows a right-triangular incline resting on a flat horizontal surface. The incline rises from right to left at an angle labeled \theta relative to the horizontal. A rigid support is perpendicular to the top of the incline. Attached to this support is a helical spring aligned parallel to the incline surface. A square block of mass labeled m is attached to the lower end of this spring, resting on the smooth incline. No other labels, lines, text, or axes appear.
Two spring-mass oscillators: Configuration 1 hanging vertically and Configuration 2 on a frictionless incline.
A block of mass \(m\) is attached to an ideal spring of spring constant \(k\). In Configuration 1, the block hangs vertically in equilibrium with spring extension \(\Delta x_1\) and oscillates with period \(T_1\). In Configuration 2, the identical block and spring are placed on a frictionless ramp inclined at an angle \(\theta\) above the horizontal, where \(0^\circ < \theta < 90^\circ\), resting in equilibrium with spring extension \(\Delta x_2\) and oscillating along the ramp with period \(T_2\). Which of the following correctly compares the equilibrium extensions and the oscillation periods of the two configurations?

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