3periodic but not SHM .... we can still find period ..........
You must have all seen the SHM case when we dig a tunnel accross the earth.
Now the question is slightly different..
The earth is not fully solid..
There is a hole inside it
Will it be a SHM. If yes what is the time period.
The hole is half the radius of the earth and at the center of it. The mass of earth is uniform in the rest of the part and equal to M
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5 Answers
106Using equivalent Gauss Law for the planet. where it is hollow
∫E.ds = 4ΠG.min
The gravitational field in the region where there is no mass =0 hence acceleration =0
hence not SHM
but periodic
1let me add another queation here..
suppose we drop a ball to the tunnel from a height h from the centre of th earth (h>R ; R= radius of the earth)....will its motion be called a SHM?
1@ ankit ur reply to post # 4 is rite as inside the tunnel it is SHM but outside the tunnel yeh SHM nahin hain 'cuz... acc. not prop to displacement