Meriam, Kraige & Bolton — Introduction to Three-Dimensional Dynamics of Rigid Bodies: Problem 7_110

7/110 The two solid homogeneous right-circular cones, each of mass \( m \), are fastened together at their vertices to form a rigid unit and are spinning about their axis of radial symmetry at the rate \( p = 200 \text{ rev/min} \). (a) Determine the ratio \( h/r \) for which the rotation axis will not precess. (b) Sketch the space and body cones for the case where \( h/r \) is less than the critical ratio. (c) Sketch the space and body cones when \( h = r \) and the precessional velocity is \( \dot{\psi} = 18 \text{ rad/s} \).