4 A daring person rides a motorbike inside a spherical cage of radius B. After a feW spins along the equator, the engine is turned oH. The bike now eon1es down the cage under gravity. Assuming the mass of the bike+rider is M, and neglecting friction, nd suitable generalized coordinates. Find Lagrange's equations of motion. If the initial speed (not velocity) of the bike is no in suitable units, and the engine is turned o' when the rider is on the equator, what are the initial conditions for Lagrangc's equations? ...[25] Smne useful integrals