Category: Everyday

6.17 A rotating solid cylinder ** (a) A very long cylinder with radius R and uniform volume charge density ρ spins with frequency ω around its axis. What is the magnetic field at a point on the axis? (b) How would your answer change if all the charge were concen- trated on the surface?

A roller coaster of mass m moves along a frictionless track that lies in the plane ( horizontal and y vertically up). The height of the track above the ground is given by . (a) Using as your generalized coordinate, write down the Lagrangian, the generalized momentum , and the Hamiltonian (as a function of…