1.) The drawing shows a thin, uniform rod that has a length of 0.30 m and a mass of 0.080 kg. This rod lies in the plane of the screen and is attached to the floor by a hinge at point P. A uniform magnetic field of 0.27 T is directed perpendicularly into the plane of the screen. There is a current I = 3.8 A in the rod, which does not rotate clockwise or counter-clockwise. Find the angle θ. (Hint: The magnetic force may be taken to act at the center of gravity.)

2.) A particle of charge +7.7 ^oC and mass 3.40 x 10-8 kg is traveling perpendicular to a 1.8-T magnetic field, as the drawing shows. The speed of the particle is 43 m/s.

(a) What is the value of the angle such that the particle's subsequent path will intersect the y axis at the greatest possible value of y?

(b) Determine this value of y.