If the earth were a homogeneous sphere and a straight hole bored in it through its centre, show that if a body were dropped into the hole it would execute a simple harmonic motion.  Also find its time period.

Asked by Topperlearning User | 4th Jun, 2014, 01:23: PM

Expert Answer:

Let a body of mass m be dropped in a straight hole in the earth of mass M (figure).  and radius R.  The body will be attracted towards the centre of the earth with a force given by,

Answered by  | 4th Jun, 2014, 03:23: PM