1but sir i found in a book that through a the centre when body is passed SHM does nOt occur
can anyone give me account of what happens when a body is passed through a tunnel dug through a earth when it is a diameter and a chord........
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3 Answers
62well this is a famous question.. the answer is SHM....
qualitatively, look at it like this..
initially the top part has a high gravitational pull.. as we go deeper, the gravitational force decreases. at the center, there is no force. so no acceleration at the center.
again when you reach the other side of the tunnel, the force is inward.
for solving this quantitatively, you have to write the equation of the force correctly..
try doing that..
to start with write the graviational force at a radius r, r<R
162read this : http://www.targetiit.com/iit-jee-forum/posts/gravitation-4102.html
http://www.targetiit.com/iit-jee-forum/posts/06-05-09-time-for-shm-8888.html
I hope it helps you :)