Oscillation of a spring and mass on an asteroid

AI Thread Summary
The period of oscillation T for a spring and mass system is given by the formula T=2π√(m/k), which indicates that T depends solely on the mass (m) and the spring constant (k). This equation is applicable regardless of the gravitational force, meaning the period remains the same on an asteroid as it does on Earth. In contrast, pendulum motion does depend on gravitational acceleration (g). The discussion confirms that gravity does not influence the period of a spring-mass system, as demonstrated through the equation of motion. Thus, the period of oscillation is consistent across different gravitational environments.
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Homework Statement


Find the period of oscillation T of the spring and mass on the asteroid

Homework Equations


T=2\pi\sqrt{\frac{m}{k}}

The Attempt at a Solution


I have found the value for T but was wondering if T depends on the bodies gravity? Is the above equation only applicable to Earth?
 
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The period only depends on m and k. So it would be the same on the asteroid.
It's pendulums that have a period depending on the value of g.
 
I actually went and solved the equation of motion which shows that gravity does not affect the period.

Thanks
 
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