P. 3947. A spiral spring of negligible mass and spring constant D lies un-stretched on a smooth horizontal plane. Its length is l0, and one of its end is fixed to a vertical axle, while the to other a point-like disc of mass m is attached. Another disc of mass m collides elastically with the disc attached to the spring. The initial velocity of the moving disc is v and is perpendicular to the axis of the spring. Find the smallest radius of curvature of the path of the disc attached to the spring. Data: D=64 N/m, l0=1 m, m=0.5 kg, v=8 m/s.
Deadline expired on 12 February 2007.