A Particle in a Cone A particle of mass m slides without friction inside an upside-down conical shell of semi vertical angle α, as shown in Figure 2.65.
(a) Use cylindrical coordinates and the Euler equation M = (d/dt)L, to determine the equations of motion of the particle.
(b) Show that it is possible for the particle to move such that it is at a constant R with the cone axis.
(c) Determine the angular speed of the particle for a uniform motion of part (b).
