Does Elevator Acceleration Affect the Oscillation Period of a Spring?

AI Thread Summary
The discussion focuses on how the acceleration of an elevator affects the oscillation period of a mass attached to a spring. The relevant equation for the period of oscillation is T=2pi * sqrt(m/k), which does not explicitly include acceleration. However, the increased acceleration due to the elevator's upward motion alters the equilibrium position of the spring. This change in equilibrium affects the effective force on the mass, leading to a different oscillation period. Therefore, the period of oscillation is not the same when the elevator is accelerating compared to when it is at rest.
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Homework Statement



A mass attached by a light spring to the ceiling of an elevator oscillates vertically while the elevator ascends with constant acceleration. Is the period greater than, less than, or the same as when the elevator is at rest

Homework Equations



T=2pi * sqrt(m/k)

The Attempt at a Solution


Since the equation doesn't account for acceleration, is the period the same?
 
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okgo said:

Homework Statement



A mass attached by a light spring to the ceiling of an elevator oscillates vertically while the elevator ascends with constant acceleration. Is the period greater than, less than, or the same as when the elevator is at rest

Homework Equations



T=2pi * sqrt(m/k)

The Attempt at a Solution


Since the equation doesn't account for acceleration, is the period the same?

That is correct.

The increased acceleration (g + a) serves to alter the relaxed length at equilibrium.
 

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