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 60o , 135o and 270o 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 2 nd masses and midway between those of 3rd and 4th masses. Determine the magnitude of the masses and their respective

International Edition---engineering Mechanics: Statics, 4th Edition
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ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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Chapter9: Moments And Products Of Inertia Of Areas
Section: Chapter Questions
Problem 9.94RP: The properties of the unequal angle section are Ix=80.9in.4,Iy=38.8in.4, and Iu=21.3in.4. Determine...
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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 60o
, 135o
and 270o
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
2
nd masses and midway between those of 3rd and 4th masses.
Determine the magnitude of the masses and their respective
angular positions.

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