HW1 A uniform disc of 220 mm diameter has a mass of 3.5 kg. It is mounted centrally in bearings which maintain its axle in a horizontal plane. The disc spins about its axle with a constant speed of 750r.p.m. while the axle precesses uniformly about the vertical at 25 r.p.m. The directions of rotation are as shown in figure below. If the distance between the bearings is 200 mm, find the resultant reaction at each bearing due to the mass and gyroscopic effects.

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HW1
A uniform disc of 220 mm diameter has a mass of 3.5 kg. It is mounted centrally
in bearings which maintain its axle in a horizontal plane. The disc spins about its
axle with a constant speed of 750 r.p.m. while the axle precesses uniformly about
the vertical at 25 r.p.m. The directions of rotation are as shown in figure below.
If the distance between the bearings is 200 mm, find the resultant reaction at each
bearing due to the mass and gyroscopic effects.
Transcribed Image Text:HW1 A uniform disc of 220 mm diameter has a mass of 3.5 kg. It is mounted centrally in bearings which maintain its axle in a horizontal plane. The disc spins about its axle with a constant speed of 750 r.p.m. while the axle precesses uniformly about the vertical at 25 r.p.m. The directions of rotation are as shown in figure below. If the distance between the bearings is 200 mm, find the resultant reaction at each bearing due to the mass and gyroscopic effects.
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