At exactly the same time, daisy and damond both step off a diving platform 5 meters high. damond jumps up and out from the platform, whereas daisy just just takes a step from a standing position.
which of the following is true?
a. the person who has less mass will reach the water first.
b. daisy will reach the water first.
c. damon will reach the water first.
d. damond and daisy will reach the water at the same time.

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.