1. a. Determine the moment of inertia of a cone rotating about its axis. (Mass = M, radius = R, height = H volume = 1/3
Posted: Mon May 23, 2022 12:00 pm
1. a. Determine the moment of inertia of a cone rotating about its axis. (Mass = M, radius = R, height = H volume = 1/3 π R^2 H) Express your answer in terms of M, R & H only.
b. Find the center of mass of the cone in terms of H only.
C. The cone in part a is rotating about its axis is pivoted at its vertex and its axis is horizontal. The cone then starts a precession about the pivot. If the rotational speed of the cone is ω, write an expression to find the precession angular speed around the pivot in terms of M, R, H and ω.
d. Calculate the precession angular frequency of a cone of mass 2.00 kg, base radius 25.0 cm, height 30.0 cm, rotating at 10.0 rpm.
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b. Find the center of mass of the cone in terms of H only.
C. The cone in part a is rotating about its axis is pivoted at its vertex and its axis is horizontal. The cone then starts a precession about the pivot. If the rotational speed of the cone is ω, write an expression to find the precession angular speed around the pivot in terms of M, R, H and ω.
d. Calculate the precession angular frequency of a cone of mass 2.00 kg, base radius 25.0 cm, height 30.0 cm, rotating at 10.0 rpm.
- 1 A Determine The Moment Of Inertia Of A Cone Rotating About Its Axis Mass M Radius R Height H Volume 1 3 1 (62.49 KiB) Viewed 17 times