Avirup-Croocked Scientist Posted February 12, 2012 Share Posted February 12, 2012 Hello friends, I would appreciate your thankful help in solving this problem on gravitation from an IIT practice paper:- A tunnel is dug in the earth across one of its diameter. Two masses m and 2m are dropped from the ends of the tunnel. The masses collide and stick to each other and perform SHM. Then amplitude of SHM will be (when R=radius of the earth) (a) R (b) R/2 © R/root3 (d) 2R/3. I will be pleased if anyone writes the concept used and explains the steps briefly........ a fresher to the `SFN` looking forward to a reply soon. Thanking You Link to comment Share on other sites More sharing options...
mathematic Posted February 13, 2012 Share Posted February 13, 2012 What are SHM and SFN? Link to comment Share on other sites More sharing options...
D H Posted February 13, 2012 Share Posted February 13, 2012 SHM = simple harmonic motion. SFN = ScienceForums.net Avirup-Croocked Scientist, what work have you done on this problem? This is essentially a homework problem. You need to show some work before we can help you. Link to comment Share on other sites More sharing options...
DrRocket Posted February 13, 2012 Share Posted February 13, 2012 Hello friends, I would appreciate your thankful help in solving this problem on gravitation from an IIT practice paper:- A tunnel is dug in the earth across one of its diameter. Two masses m and 2m are dropped from the ends of the tunnel. The masses collide and stick to each other and perform SHM. Then amplitude of SHM will be (when R=radius of the earth) (a) R (b) R/2 © R/root3 (d) 2R/3. I will be pleased if anyone writes the concept used and explains the steps briefly........ a fresher to the `SFN` looking forward to a reply soon. Thanking You Concepts to be used: 1) Newtonian gravity [math] F=G \frac {m_1m_2}{r^2}[/math] 2) Classical Newtonian mechanics [math]F=ma[/math] But as DH said, you need to show some work and a reasonable attempt to use these principles. Link to comment Share on other sites More sharing options...
elfmotat Posted February 14, 2012 Share Posted February 14, 2012 (edited) Are you familiar with Gauss' Law for electric fields? There's also a Gauss' law for gravitational fields: [math]\oint\boldsymbol{g}\cdot d\boldsymbol{A}=-4\pi GM[/math] **Hint: In a typical E&M class you'll eventually be asked to solve for the electric field in the interior of a sphere with constant charge density (E as a function of the distance from the center). Edited February 14, 2012 by elfmotat Link to comment Share on other sites More sharing options...
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