Q3 A uniform sphere of 150 mm diameter has a mass of 5 kg. It is mounted centrally in bearings which maintain its axle in a horizontal plane. The sphere spins about its axle with a constant speed of 1000 r.p.m. while the axle precesses uniformly about the vertical at 60 r.p.m. The directions of rotation are as shown in Figure below. If the distance between the bearings is 100 mm, find the resultant reaction at each bearing due to the mass and gyroscopic effects. (35 degrees)

Q3 A uniform sphere of 150 mm diameter has a mass of 5 kg. It is mounted centrally in bearings which maintain its axle in a horizontal plane. The sphere spins about its axle with a constant speed of 1000 r.p.m. while the axle precesses uniformly about the vertical at 60 r.p.m. The directions of rotation are as shown in Figure below. If the distance between the bearings is 100 mm, find the resultant reaction at each bearing due to the mass and gyroscopic effects. (35 degrees)

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

Q3
A uniform sphere of 150 mm diameter has a mass of 5 kg. It is mounted centrally in
bearings which maintain its axle in a horizontal plane. The sphere spins about its
axle with a constant speed of 1000 r.p.m. while the axle precesses uniformly about
the vertical at 60 r.p.m. The directions of rotation are as shown in Figure below. If
the distance between the bearings is 100 mm, find the resultant reaction at each
bearing due to the mass and gyroscopic effects. (35 degrees)

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