Question:
A particle of mass m slides
without friction on the inside of a cone. The axis of the cone is vertical, and
gravity is directed downward. The apex half-angle of the cone is θ, as shown.
The path of the particle happens to be a circle in a horizontal plane. The
speed of the particle is v0. Draw a force diagram and find the radius of the
circular path in terms of v0, g, and θ.
Solution:
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