Tim has a house worth $250,000. He has installed a $100,000 aquarium in his basement because he is obsessed with fish. His regular homeowner's insurance doesn't cover home aquariums, so his insurance agent is writing a supplemental policy to help him get the coverage for the aquarium. What is this known as? Question 6 options: an exclusion a rider a deductible a consideration

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.