A brass plug is to be placed in a ring made of iron. At 15∘C, th

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.

A40 kilogram skier starts at the top of a 12 meter heigh slope. at the bottom she is traveling 10 meters per second how much does she lose to friction? a. 4,704 joules b. 2,704 joules. c.2,000 joules d. she doesn’t lose any because mechanical energy is conserved. 35

He acceleration due to gravity on the surface of mars is about one third the acceleration due to gravity on earth’s surface. the weight of a space probe on the surface of mars is about