Question

Two disks of radius r are fixed at a distance D apart on a rigid rod and rotate at constant angular speed with a period T. The disks have holes at 2r/3 with a fixed angular separation e. A bullet moves at speed v such that it passes through both holes. Assume that the bullet travels in a straight line. A. (10 points) Find the angular separation in terms of v,r, T and D. Now consider two disks fixed at a distance D apart on a rigid rod, with holes that are on opposite sides of the disks at a distance of r/2 from the axis. A bead of mass m is dropped from rest, level with the top hole, such that it falls through the top hole and then through the bottom hole. The system rotates at a constant angular speed. B. (10 points) At what angular velocity do the disks need to turn such that the bead also passes through the bottom slit? Solve completely symbolically in terms of m, r and D. C. (5 points) Find the magnitude of the angular velocity for the case m = 0.055 kg, r = 0.25 m, D = 0.35 m. D. (5 points) List two assumptions you needed to make to solve this problem.

Explanation please

Answer 1