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AP Physics C: Mechanics
7.3 Representing and Analyzing SHM
7.1 Defining Simple Harmonic Motion (SHM)
2.8 Spring Forces
Multi-Unit
IntermediateMCQMathematicalConceptual18.7k
A side-by-side schematic of two oscillating systems. On the left, labeled System 1, a rigid vertical wall is attached to a horizontal coil spring with stiffness labeled k, which connects to a rectangular block labeled m on a smooth horizontal floor. A double-headed horizontal arrow below the block indicates oscillation. On the right, labeled System 2, a rigid horizontal ceiling supports a vertical coil spring with stiffness labeled k, which hangs downward and connects to an identical rectangular block labeled m. A downward vertical arrow labeled g sits to the right of System 2, and a vertical double-headed arrow indicates oscillation. No other labels, lines, text, or axes appear.
Comparison of horizontal (System 1) and vertical (System 2) spring-mass oscillators.
A block of mass \(m\) is attached to an ideal spring of spring constant \(k\). In System 1, the block oscillates horizontally on a frictionless surface. In System 2, the block is hung vertically from the same spring and oscillates in a uniform gravitational field of magnitude \(g\). Which of the following correctly compares the angular frequency \(\omega_2\) of System 2 to the angular frequency \(\omega_1\) of System 1, and provides the correct physical justification?

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