a hole on earth:

1)只有一个地球,没有其他影响.R=6400km.

石离地心x,以地心作无限个同xin球面,仅小与X为半径的球面对石作用,可设质量在心,令石质量为m,球为M,

We have mg=kmM/R^2,   stone"s force is kmM(x/R)^3/x^2=mg(x/R)=-ma=-md^2x/d^2t.We have d^2x/d^2t=-(g/R)x, x(t)=Acos(wt) w=(g/R)^.5=0.00124sec^(-1).T=808sec=13.47min.

Please chech it.

 

 

所有跟帖: 

又算错,周期T约=85分. -jinjing- 给 jinjing 发送悄悄话 (0 bytes) () 09/14/2011 postreply 09:57:13

84 -guest007- 给 guest007 发送悄悄话 (148 bytes) () 09/15/2011 postreply 09:56:00

Thx, my earth radius is too long ,if it is 6370km,the answer is -jinjing- 给 jinjing 发送悄悄话 (59 bytes) () 09/15/2011 postreply 10:16:25

6370/6400*85=84 -jinjing- 给 jinjing 发送悄悄话 (0 bytes) () 09/15/2011 postreply 10:17:40

More Math. -jinjing- 给 jinjing 发送悄悄话 (181 bytes) () 09/17/2011 postreply 07:14:05

3) 瞎猫死鼠解. -jinjing- 给 jinjing 发送悄悄话 (140 bytes) () 09/18/2011 postreply 08:16:45

"Hilbert"解 -jinjing- 给 jinjing 发送悄悄话 (293 bytes) () 09/18/2011 postreply 08:40:58

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