If the earth was a homogeneous sphere and a straight hole was bored through its centre, show that a body dropped into this hole will execute shm. Calculate the time period if the radius of the earth is 6400 km and g = 9.8 ms^(-2)

If the earth was a homogeneous sphere and a straight hole was bored th

1.	If the earth was a homogeneous sphere and a straight hole was bored through its centre, show that a body dropped into this hole will execute shm. Calculate the time period if the radius of the earth is 6400 km and g = 9.8 ms^(-2)
Answer» SOLUTION :At a DEPTH d,G. `(g//R)(R-d),g.alpha(R-d)` So the MOTION `T = 2pisqrt("Displacement/accln")` `T=2pisqrt((R-x))//g.=2pisqrt(R//g)=2pisqrt(6.4xx10^6//9.8)=5079.6`SECOND