A barbell is mounted on a nearly frictionless axle through its center. The low-mass rod has a length d = 0.30 m, and each ball has a mass m = 0.

A barbell is mounted on a nearly frictionless axle through its center. The low-mass rod has a length d = 0.30 m, and each ball has a mass m = 0.2 kg. At this instant, there are two forces of equal magnitude F applied to the system as shown in the figure, with the directions indicated, and at this instant the angular velocity is 103 radians/s, counterclockwise, and the angle θ = 28°. In the next 0.007 s, the angular momentum relative to the center increases by an amount 4.2 × 10−4 kg · m2/s. What is the magnitude of each force?