2. 3. 4. clockwise from Four masses A, B, C and D revolve at equal radii and are equally spaced along a shaft. The mass B is 7 kg and the radii of C and D make angles of 90° and 240° respectively with the radius of B. Find the magnitude of the masses A, C and D and the angular position of A so that the system may be completely balanced. [Ans. 5 kg: 6 kg; 4.67 kg; 205° from mass B in anticlockwise direction] A rotating shaft carries four masses A, B, C and D which are radially attached to it. The mass centres are 30 mm, 38 mm, 40 mm and 35 mm respectively from the axis of rotation. The masses A, C and D are 7.5 kg. 5 kg and 4 kg respectively. The axial distances between the planes of rotation of A and B is 400 mm and between B and C is 500 mm. The masses A and C are at right angles to each other. Find for a complete balance, 1. the angles between the masses B and D from mass A, 2. the axial distance between the planes of rotation of C and D. 3. the magnitude of mass B. [Ans. 162.5%, 47.5°; 511 mm: 9.24 kg) A rotating shaft carries four unbalanced masses 18 kg, 14 kg. 16 kg and 12 kg at radii 50 mm, 60 mm, 70 mm and 60 mm respectively. The 2nd, 3rd and 4th masses revolve in planes 80 mm, 160 mm and 280 mm respectively measured from the plane of the first mass and are angularly located at 60°, 135° and 270° respectively measured clockwise from the first mass looking from this mass end of the shaft. The shaft is dynamically balanced by two masses, both located at 50 mm radii and revolving in planes mid-way between those of 1st and 2nd masses and midway between those of 3rd and 4th masses. Determine, graphically or otherwise, the magnitudes of the masses and their respective angular positions. [Ans. 13.3 kg and 10.4 kg at 25° and 275° from mass A in anticlockwise direction)
2. 3. 4. clockwise from Four masses A, B, C and D revolve at equal radii and are equally spaced along a shaft. The mass B is 7 kg and the radii of C and D make angles of 90° and 240° respectively with the radius of B. Find the magnitude of the masses A, C and D and the angular position of A so that the system may be completely balanced. [Ans. 5 kg: 6 kg; 4.67 kg; 205° from mass B in anticlockwise direction] A rotating shaft carries four masses A, B, C and D which are radially attached to it. The mass centres are 30 mm, 38 mm, 40 mm and 35 mm respectively from the axis of rotation. The masses A, C and D are 7.5 kg. 5 kg and 4 kg respectively. The axial distances between the planes of rotation of A and B is 400 mm and between B and C is 500 mm. The masses A and C are at right angles to each other. Find for a complete balance, 1. the angles between the masses B and D from mass A, 2. the axial distance between the planes of rotation of C and D. 3. the magnitude of mass B. [Ans. 162.5%, 47.5°; 511 mm: 9.24 kg) A rotating shaft carries four unbalanced masses 18 kg, 14 kg. 16 kg and 12 kg at radii 50 mm, 60 mm, 70 mm and 60 mm respectively. The 2nd, 3rd and 4th masses revolve in planes 80 mm, 160 mm and 280 mm respectively measured from the plane of the first mass and are angularly located at 60°, 135° and 270° respectively measured clockwise from the first mass looking from this mass end of the shaft. The shaft is dynamically balanced by two masses, both located at 50 mm radii and revolving in planes mid-way between those of 1st and 2nd masses and midway between those of 3rd and 4th masses. Determine, graphically or otherwise, the magnitudes of the masses and their respective angular positions. [Ans. 13.3 kg and 10.4 kg at 25° and 275° from mass A in anticlockwise direction)
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
Related questions
Question
![2.
3.
4.
clockwise from
Four masses A, B, C and D revolve at equal radii and are equally spaced along a shaft. The mass B
is 7 kg and the radii of C and D make angles of 90° and 240° respectively with the radius of B. Find
the magnitude of the masses A, C and D and the angular position of A so that the system may be
completely balanced.
[Ans. 5 kg: 6 kg; 4.67 kg; 205° from mass B in anticlockwise direction]
A rotating shaft carries four masses A, B, C and D which are radially attached to it. The mass
centres are 30 mm, 38 mm, 40 mm and 35 mm respectively from the axis of rotation. The masses
A, C and D are 7.5 kg. 5 kg and 4 kg respectively. The axial distances between the planes of
rotation of A and B is 400 mm and between B and C is 500 mm. The masses A and C are at right
angles to each other. Find for a complete balance,
1. the angles between the masses B and D from mass A,
2. the axial distance between the planes of rotation of C and D.
3. the magnitude of mass B.
[Ans. 162.5%, 47.5°; 511 mm: 9.24 kg)
A rotating shaft carries four unbalanced masses 18 kg, 14 kg. 16 kg and 12 kg at radii 50 mm, 60
mm, 70 mm and 60 mm respectively. The 2nd, 3rd and 4th masses revolve in planes 80 mm, 160
mm and 280 mm respectively measured from the plane of the first mass and are angularly located at
60°, 135° and 270° respectively measured clockwise from the first mass looking from this mass end
of the shaft. The shaft is dynamically balanced by two masses, both located at 50 mm radii and
revolving in planes mid-way between those of 1st and 2nd masses and midway between those of
3rd and 4th masses. Determine, graphically or otherwise, the magnitudes of the masses and their
respective angular positions.
[Ans. 13.3 kg and 10.4 kg at 25° and 275° from mass A in anticlockwise direction)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff847e04f-5359-4a61-bb7d-e512e4d9d128%2F9a1529d5-96af-4d3c-8736-5488e5fa2f6b%2Fcev2s_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2.
3.
4.
clockwise from
Four masses A, B, C and D revolve at equal radii and are equally spaced along a shaft. The mass B
is 7 kg and the radii of C and D make angles of 90° and 240° respectively with the radius of B. Find
the magnitude of the masses A, C and D and the angular position of A so that the system may be
completely balanced.
[Ans. 5 kg: 6 kg; 4.67 kg; 205° from mass B in anticlockwise direction]
A rotating shaft carries four masses A, B, C and D which are radially attached to it. The mass
centres are 30 mm, 38 mm, 40 mm and 35 mm respectively from the axis of rotation. The masses
A, C and D are 7.5 kg. 5 kg and 4 kg respectively. The axial distances between the planes of
rotation of A and B is 400 mm and between B and C is 500 mm. The masses A and C are at right
angles to each other. Find for a complete balance,
1. the angles between the masses B and D from mass A,
2. the axial distance between the planes of rotation of C and D.
3. the magnitude of mass B.
[Ans. 162.5%, 47.5°; 511 mm: 9.24 kg)
A rotating shaft carries four unbalanced masses 18 kg, 14 kg. 16 kg and 12 kg at radii 50 mm, 60
mm, 70 mm and 60 mm respectively. The 2nd, 3rd and 4th masses revolve in planes 80 mm, 160
mm and 280 mm respectively measured from the plane of the first mass and are angularly located at
60°, 135° and 270° respectively measured clockwise from the first mass looking from this mass end
of the shaft. The shaft is dynamically balanced by two masses, both located at 50 mm radii and
revolving in planes mid-way between those of 1st and 2nd masses and midway between those of
3rd and 4th masses. Determine, graphically or otherwise, the magnitudes of the masses and their
respective angular positions.
[Ans. 13.3 kg and 10.4 kg at 25° and 275° from mass A in anticlockwise direction)
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