The Scenario: The Wildcats are down by two points to the Sun Devils with one second left in the game. The kicker lines up for a 50-yard field goal attempt to win the game. He is kicking the ball straight north. The ball is kicked, and it is heading straight for the left goal post. All that is needed for the Wildcats to win the game is for the ball to deflect 1/4 inch to the right and the field goal will be good. There is no wind and no spin on the ball, so the only hope is for the Coriolis Effect to cause the desired deflection. Given this scenario, how much does the ball move in flight and in what direction as a result of the Coriolis Effect

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.