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AP Physics C: Mechanics
7.5 Simple and Physical Pendulums
7.2 Frequency and Period of SHM
AdvancedMCQMathematicalProportional AnalysisConceptual20.6k
A simple pendulum inside an enclosure accelerating downward (Scenario 1) and horizontally (Scenario 2).
A simple pendulum inside an enclosure accelerating downward (Scenario 1) and horizontally (Scenario 2).
A simple pendulum of length \(L\) has a period of small oscillations \(T_0\) inside an enclosure at rest in an inertial reference frame.

In Scenario 1, the enclosure accelerates vertically downward with a constant acceleration of magnitude \(a\) (where \(a < g\)), and the pendulum oscillates with period \(T_1 = 2T_0\).

In Scenario 2, the enclosure accelerates along a horizontal track with the same acceleration magnitude \(a\), and the pendulum oscillates with period \(T_2\) about its new equilibrium position.

What is the ratio \(\dfrac{T_2}{T_0}\)?

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