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A top is spinning at 28.6 rev/s about an axis making an angle of 34.0° with the vertical. Its mass is 492 g and its rotational inertia is 5.12 X 10 -4 kg· m 2 . The center of mass is 3.88 cm from the pivot point. The spin is clockwise as seen from above. Find the magnitude (in rev/s) and direction of the angular velocity of precession.

A top is spinning at 28.6 rev/s about an axis making an angle of 34.0° with the vertical. Its mass is 492 g and its rotational inertia is 5.12 X 10-4 kg· m2. The center of mass is 3.88 cm from the pivot point. The spin is clockwise as seen from above. Find the magnitude (in rev/s) and direction of the angular velocity of precession.

Grade:upto college level

1 Answers

Deepak Patra
askIITians Faculty 471 Points
8 years ago
233-437_1.PNG
Therefore, the angular velocity of the precession of the spinning top is 0.324 rev/s.
The figure below shows the spinning top and the direction of the angular velocity of precession.
233-105_1.PNG
It can be seen from the figure that the direction of ω p is perpendicular to the plane of cone.

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