A rigid body consists of 8 particles each of mass m. The particles are located a

Question

A rigid body consists of 8 particles each of mass m. The particles are located at the vertices of a rectangular box. The box itself has no mass. Put the origin of this object is at the center of the box, and make the box undergo free rotation at w about an axis that is in the y-z plane and makes an angle of 20 with the z-axis,



Find (a) period of precession of the axis of rotation about the symmetry axis, (b) the period of wobble of the symmetry axis about the invariable line, and (c) the angle between w and L.

Explanation / Answer

a)the angular frequency is w the angle is A = 20o the period of precession is t = A/w b)the period of wobble is T = 4pir/v where r is radius and v is velocity c)the angle between w and L is 45o

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