Question

Find the time period of motion if a mass m is dropped in a tunnel along the diameter of earth

from height h above the surface of earth. Is the motion simple harmonic?

Answer 1

T= 2π √2R/g----------(1)

g= GM/(R+h)²-------------(2)

put (2) in (1):-

T= 2π √2R(R+h)²/GM