Q4:-A rotating shaft carries four masses 176.6 N, 137.3 N, 157 N and 117 N at radii 5 cm, 6 cm, 7 cm and 6 cm respectively. The second, third and fourth masses revolve in planes 8 cm, 16 cm and 28 cm respectively measured from the plane of the first mass (at the left end). They are angularly located at 60°, 135° and 270° respectively measured clockwise from the first mass (at the positive x-axis). The shaft is dynamically balanced by two masses both located at 5 cm radii and revolving in planes midway between those of 1st and 2nd masses and midway between those of 3° and 4th masses. Determine the magnitude of the masses and their respective angular positions.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Q4:-A rotating shaft carries four masses 176.6 N, 137.3 N, 157 N and
117 N at radii 5 cm, 6 cm, 7 cm and 6 cm respectively. The second,
third and fourth masses revolve in planes 8 cm, 16 cm and 28 cm
respectively measured from the plane of the first mass (at the left
end). They are angularly located at 60°, 135° and 270° respectively
measured clockwise from the first mass (at the positive x-axis).
The shaft is dynamically balanced by two masses both located at 5
cm radii and revolving in planes midway between those of 1" and
2nd masses and midway between those of 3" and 4t" masses.
Determine the magnitude of the masses and their respective
angular positions.
Transcribed Image Text:Q4:-A rotating shaft carries four masses 176.6 N, 137.3 N, 157 N and 117 N at radii 5 cm, 6 cm, 7 cm and 6 cm respectively. The second, third and fourth masses revolve in planes 8 cm, 16 cm and 28 cm respectively measured from the plane of the first mass (at the left end). They are angularly located at 60°, 135° and 270° respectively measured clockwise from the first mass (at the positive x-axis). The shaft is dynamically balanced by two masses both located at 5 cm radii and revolving in planes midway between those of 1" and 2nd masses and midway between those of 3" and 4t" masses. Determine the magnitude of the masses and their respective angular positions.
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