product is testedfor radiated emissions compliance at 150 MHz where the distance between the DUT and the measurement antenna is 16 ft. The measurement antenna provides 0.2 V for every V/m in the incident field and is connected to the spectrum analyzer by 20 ft of coaxial cable (attenuation = 6.2 dB/100 ft at 150 MHz). The voltage measured by the spectrum analyzer is 36 dBμV. Determine the antenna factor in dB.

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.