Oscillation in a hole through the Earth (hole is offset)

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SUMMARY

The discussion centers on the oscillation period of an object in a tunnel through the Earth that is offset from the center. The participant correctly applies the simple harmonic motion equation and Newton's law of gravitation, concluding that the period of oscillation remains the same as if the tunnel were through the center of the Earth. This conclusion is confirmed by other participants, establishing that the offset does not affect the oscillation period.

PREREQUISITES
  • Understanding of simple harmonic motion
  • Familiarity with Newton's law of gravitation
  • Basic knowledge of oscillatory motion
  • Ability to manipulate equations involving gravitational forces
NEXT STEPS
  • Explore the derivation of the period of oscillation for simple harmonic motion
  • Investigate the effects of varying tunnel positions on gravitational forces
  • Learn about the implications of gravitational potential energy in oscillatory systems
  • Study real-world applications of oscillation in physics, such as pendulums and springs
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and oscillatory motion, as well as educators seeking to explain gravitational effects in non-standard scenarios.

Carbon123
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1. The problem statement, all variables and given/known
There is an Earth but the hole is not in the middle but the side.find the period of oscillation

Homework Equations


Simple harmonic equation.Newton gravitational force

The Attempt at a Solution


I got GMx/R^3+acc=0 so period of osciilations is the same as when tunnel is through the center is it correct ?(that the period is the same as in the center of the earth)
 
Last edited by a moderator:
Physics news on Phys.org
WinstonC said:
so period of osciilations is the same as when tunnel is through the center is it correct ?
Yes.
 
Thanks
 

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