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

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Q4:-A rotating shaft carries four masses 176.6 N, 137.3 N, 157N 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
2n° masses and midway between those of 3d and 4th 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, 157N 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 2n° masses and midway between those of 3d and 4th masses. Determine the magnitude of the masses and their respective angular positions.
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