- #1
DarkWing
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Hello, hopefully some of you physics people can help me out here, because I'm pretty clueless. I've seen this asked before, but I couldn't relate that to my specific problem.
Part I: A tunnel is dug through the center of the earth, and an object of mass m is dropped through the tunnel.
Part II: A frictionless tunnel is dug through the earth, not though the center.
Note: I'm not necessarily asking from someone to do this whole problem, although that would be nice. I just need a little help getting started.
Part I: A tunnel is dug through the center of the earth, and an object of mass m is dropped through the tunnel.
- Show that the force on m is a linear restoring force
- Find the period of oscillation
- Show that the period of an obriting satellite (at Re) is equal to the period of the object dropped through the tunnel
Part II: A frictionless tunnel is dug through the earth, not though the center.
- Show the period is equal to that of the object from Part I, which is dropped through the center of the earth.
Note: I'm not necessarily asking from someone to do this whole problem, although that would be nice. I just need a little help getting started.
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