Aparticle of mass m is attached to a rigid support by means of a spring of spring constant k. at equilibrium, the spring hangs vertically downward. an identical oscillator is added to this system, the spring of the former being attached to the mass of the latter. calculate the normal frequencies for one-dimensional vertical oscillations about the equilibrium state, and describe the associated normal modes.

Currents in dc transmission lines can be 100 a or higher. some people are concerned that the electromagnetic fields from such lines near their homes could pose health dangers. for a line that has current 150 a and a height of 8.0 m above the ground, what magnetic field does the line produce at ground level? express your answer in teslas and as a percentage of the earth’s magnetic field, which is 0.50 g. is this value cause for worry?