Your Guide to The Atom The number of prolons in an alom is equallo the Proton : The & total number of 0 7 거 Li. The number of electrons in a balanced atom is equal to the number of Atomic Symbol: 3 Number: Numberof which is equal to the number of To find the number of neutrons in an atom you subtract the atomic number from the mass number. Neutron Neutrons =

The center of a long frictionless rod is pivoted at the origin, and the rod is forced to rotate in a vertical plane with constant angular velocity \omega. write down the lagrangian for a bead of mass m threaded on the rod, using r as your generalized coordinate, where r, \phi are the polar coordinates of the bead. (notice that \phi is not an independent variable since it is fixed by the rotation of the rod tobe \phi = \omega * t) solve lagrange's equation for r(t). what happens if the bead is initially at rest at the origin? if it is released from any point ro > 0, show that r(t) eventually grows exponentially. explain your results in terms of the centrifugal force m* \omega ^2 *r.