1. The gear shown has a mass of 10 kg and is mounted at an angle of 10° to the rotating shaft which has a negligible mass. (x, y, z) axes are aligned with the principal directions of the gear and the moments of inertia with respect to these axes have been measured as Izz = 0.1 kg-m², Ixx = Iyy = Izz/2. If the shaft is rotating with a constant angular velocity of w = 30 rad/s, determine the reaction forces at the two bearings at the instant shown. Neglect gravity. [ans. 71.6 N at A and 26.5 N at B, both vertical] A 3 10° 10° B

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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1. The gear shown has a mass of 10 kg and is mounted at
an angle of 10° to the rotating shaft which has a negligible
mass. (x, y, z) axes are aligned with the principal
directions of the gear and the moments of inertia with
respect to these axes have been measured as Izz =
0.1 kg-m², Ixx = Iyy = Izz/2. If the shaft is rotating with
a constant angular velocity of w = 30 rad/s, determine
the reaction forces at the two bearings at the instant
shown. Neglect gravity.
[ans. 71.6 N at A and 26.5 N at B, both vertical]
N
ACC
Xx
(
10°
10°
G
B
Transcribed Image Text:1. The gear shown has a mass of 10 kg and is mounted at an angle of 10° to the rotating shaft which has a negligible mass. (x, y, z) axes are aligned with the principal directions of the gear and the moments of inertia with respect to these axes have been measured as Izz = 0.1 kg-m², Ixx = Iyy = Izz/2. If the shaft is rotating with a constant angular velocity of w = 30 rad/s, determine the reaction forces at the two bearings at the instant shown. Neglect gravity. [ans. 71.6 N at A and 26.5 N at B, both vertical] N ACC Xx ( 10° 10° G B
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