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 0, as shown. The path of the particle happens to be a circle in a horizontal plane. The speed of the particle is vo. Draw a force diagram and find the radius of the circular path in terms of vo, g, and 0. A

College Physics
11th Edition
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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 0, as shown.
The path of the particle happens to be a circle in a horizontal plane. The speed of the particle is vo.
Draw a force diagram and find the radius of the circular path in terms of vo, g, and 0.
A
Le
Hint : This problem is similar to canonical pendulum .Draw the free body diagram for the particle when
in point A (i.e., in vertical plane). Write Newton's second law for radial and vertical direction .
Solve for radius R .
Transcribed Image Text: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 0, as shown. The path of the particle happens to be a circle in a horizontal plane. The speed of the particle is vo. Draw a force diagram and find the radius of the circular path in terms of vo, g, and 0. A Le Hint : This problem is similar to canonical pendulum .Draw the free body diagram for the particle when in point A (i.e., in vertical plane). Write Newton's second law for radial and vertical direction . Solve for radius R .
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