A uniform hollow cylinder of 150 mm and 120 mm diameter has a mass of 7 kg. It is mounted centrally in bearings which maintain its axle in a horizontal plane. The hollow cylinder 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.
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Q3
A uniform hollow cylinder of 150 mm and 120 mm diameter has a mass of 7 kg. It
is mounted centrally in bearings which maintain its axle in a horizontal plane. The
hollow cylinder 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)
Transcribed Image Text:Q3 A uniform hollow cylinder of 150 mm and 120 mm diameter has a mass of 7 kg. It is mounted centrally in bearings which maintain its axle in a horizontal plane. The hollow cylinder 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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