Question 4 (15 points): The rotor shown below is to be balanced by placing correction masses in the correction planes L and R. The unbalanced masses are m₁ = 0.4 kg, m2 = 0.3 kg, and m3 = 0.4 kg and are at the radial positions r₁ = 5 cm, r₂ = 4 cm, and r3 = 5 cm. The locations of the masses along the shaft in centimeters is shown in the figure. Neglecting gravity, shaft deflection, and connecting rod masses, determine the following: a) (7 points) The magnitude of the dynamic reaction forces at bearings A and B of the unbalanced rotor spinning at 50 rad/s. b) (8 points) The necessary counterweight correction amounts in kg-cm and their angular locations. ·8. -9 10- (m1) Y (m1) T1 X 30° 60° B A (m2) (m2) T3 (m3) R (m3)

International Edition---engineering Mechanics: Statics, 4th Edition
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ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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Chapter8: Centroids And Distributed Loads
Section: Chapter Questions
Problem 8.73P
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Question 4 (15 points):
The rotor shown below is to be balanced by placing correction masses in the correction planes L and
R. The unbalanced masses are m₁ = 0.4 kg, m2 = 0.3 kg, and m3 = 0.4 kg and are at the radial positions
r₁ = 5 cm, r₂ = 4 cm, and r3 = 5 cm. The locations of the masses along the shaft in centimeters is shown
in the figure. Neglecting gravity, shaft deflection, and connecting rod masses, determine the
following:
a) (7 points) The magnitude of the dynamic reaction forces at bearings A and B of the unbalanced
rotor spinning at 50 rad/s.
b) (8 points) The necessary counterweight correction amounts in kg-cm and their angular
locations.
·8.
-9 10-
(m1)
Y
(m1)
T1
X
30°
60°
B
A
(m2)
(m2)
T3
(m3) R
(m3)
Transcribed Image Text:Question 4 (15 points): The rotor shown below is to be balanced by placing correction masses in the correction planes L and R. The unbalanced masses are m₁ = 0.4 kg, m2 = 0.3 kg, and m3 = 0.4 kg and are at the radial positions r₁ = 5 cm, r₂ = 4 cm, and r3 = 5 cm. The locations of the masses along the shaft in centimeters is shown in the figure. Neglecting gravity, shaft deflection, and connecting rod masses, determine the following: a) (7 points) The magnitude of the dynamic reaction forces at bearings A and B of the unbalanced rotor spinning at 50 rad/s. b) (8 points) The necessary counterweight correction amounts in kg-cm and their angular locations. ·8. -9 10- (m1) Y (m1) T1 X 30° 60° B A (m2) (m2) T3 (m3) R (m3)
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