- 4 A Daring Person Rides A Motorbike Inside A Spherical Cage Of Radius R After A Few Spins Along The Equator The Engine 1 (36.8 KiB) Viewed 79 times
- 4 A Daring Person Rides A Motorbike Inside A Spherical Cage Of Radius R After A Few Spins Along The Equator The Engine 2 (33.29 KiB) Viewed 79 times
4 A daring person rides a motorbike inside a spherical cage of radius R. After a few spins along the equator, the engine is turned off. The bike now comes down the cage under gravity. Assuming the mass of the bike +rider is M, and neglecting friction, find suitable generalized coordinates. Find Lagrange's equations of motion.
If the initial speed (not velocity) of the bike is uo in suitable units, and the engine is turned off when the rider is on the equator, what are the initial conditions for Lagrange's equations? ... [25] Some useful integrals dt • S 1+12 arctan(t) S 14 = ArcSinh(t) +1 ) S 1