Water wave traveling in a straight line on a lake is described by the equation y(x, t)=(2.75cm)cos(0.410rad/cmx+6.20rad /st) where y is the displacement perpendicular to the undisturbed surface of the lake.

The two required components for a generator are

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.

Q1=-2.00x10^-5 c, q2=+3.80x10^-6 c, q3=+5.30x10^-5 c. what is the electric potential energy for charge q2? between q1 and q2: 1.15m between q2 and q3: 2.88m