A particle P of mass m is free to move inside a sphere with centre O and radius r. The particle starts from the lowest point, directly below O, with a speed v. As long as the particle stays on the inner surface of the sphere, its position can be described in terms of the angle ? between the line OP and the vertical.(a) Find the particle speed as a function of ?.(b) Find the normal reaction between the particle and the surface of the sphere.(c) Show that the particle remains in contact with the sphere through a complete revolution as long as v = v 5rg.(d) Show that if v 2rg
Nov 04 2015 10:38 PM