7. Bonus Figure 1 shows a tunnel in a uniform planet of mass M and radius R. At a distance r from the center, the gravit
Posted: Thu Feb 17, 2022 11:08 am
7. Bonus Figure 1 shows a tunnel in a uniform planet of mass M and radius R. At a distance r from the center, the gravitational attraction is due only to the sphere of radius r. Thus F GmM(r) mgr 72 R where M(r) = 1/73/R and g = GN/RShow by Newton's 2nd law for the motion along the tunnel leads to the differential equation for SHM: x"(t) + z(t) = 0. Estimate the period of the oscillation for the earth. R