Hello, I've got a problem and I have no idea how to start. I'll be happy for any hint. Thanks 1. The problem statement, all variables and given/known data Two beads each of mass m are at the top (Z) of a frictionless hoop of mass M and radius R which lies in the vertical plane. The hoop is supported by a frictionless vertical support. The beads are given a tiny impulse and due to gravity they slide down the hoop: one clockwise and one anti-clockwise. a) Determine the minimum value of X = m/M, Xmin, for which the hoop will rise up off the support before the beads reach the bottom of the hoop (Y). b) If X < Xmin and the beads collide inelastically at the bottom of the hoop with a coefficient of restitution eR = 0.98, determine the minimum angle (θ) to the nearest degree with respect to the initial position (θ = 0) achieved by the clockwise moving bead. c) How many oscillations are required so that the maximum height achieved by the beads is less than 0.01R? 2. The attempt at a solution a) To use energy conservation law? b) Tangens of the angle θ (with respect to the initial position) is going to be reduced by the e? c) Do I get the height by the energy conservation law (PE = KE)? But how to determine the number of collisions?