metres from each other. The shaft must rotate at 30 rad/s when the truck travels at the speed of 40 m/s. Such a shaft carries two masses of (Ma = 10 kg) and (Ma = 5 kg) acting at the extremities of the arms 0.45 m and 0.6 m long. sh The in uhich
metres from each other. The shaft must rotate at 30 rad/s when the truck travels at the speed of 40 m/s. Such a shaft carries two masses of (Ma = 10 kg) and (Ma = 5 kg) acting at the extremities of the arms 0.45 m and 0.6 m long. sh The in uhich
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
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![A prop shaft of a heavy-duty truck has two bearings which are positioned at 3
metres from each other. The shaft must rotate at 30 rad/s when the truck travels
at the speed of 40 m/s. Such a shaft carries two masses of (MA = 10 kg) and
(Ms = 5 kg) acting at the extremities of the arms 0.45 m and 0.6 m long,
respectively. The planes in which these masses rotate are 1.2 m and 2.4 m,](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc77587b6-77a7-42ff-bb77-8da048a8b841%2F6ed94bab-6586-4970-a3a1-468c1a00df19%2Fml4cojv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A prop shaft of a heavy-duty truck has two bearings which are positioned at 3
metres from each other. The shaft must rotate at 30 rad/s when the truck travels
at the speed of 40 m/s. Such a shaft carries two masses of (MA = 10 kg) and
(Ms = 5 kg) acting at the extremities of the arms 0.45 m and 0.6 m long,
respectively. The planes in which these masses rotate are 1.2 m and 2.4 m,
![respectively, from the left end bearing supporting the shaft. The angle between
the arms is 60°. If the masses are balanced by two counter-masses (named X
and Y) rotating with the shaft acting at a radius of 0.3 m and placed at 0.3 m
from each bearing centre:
2.1.
Draw a diagram illustrating the position of masses on the shaft.
2.2.
Calculate the dynamic force in Newtons. Tabulate the results.
2.3.
Calculate the moment acting on the shaft in Newton-metre. Tabulate the
results.
2.4.
Determine the magnitude of the Y balance mass using a vector diagram.
2.5
Determine the magnitude of the X balance mass using a vector diagram.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc77587b6-77a7-42ff-bb77-8da048a8b841%2F6ed94bab-6586-4970-a3a1-468c1a00df19%2F374jipg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:respectively, from the left end bearing supporting the shaft. The angle between
the arms is 60°. If the masses are balanced by two counter-masses (named X
and Y) rotating with the shaft acting at a radius of 0.3 m and placed at 0.3 m
from each bearing centre:
2.1.
Draw a diagram illustrating the position of masses on the shaft.
2.2.
Calculate the dynamic force in Newtons. Tabulate the results.
2.3.
Calculate the moment acting on the shaft in Newton-metre. Tabulate the
results.
2.4.
Determine the magnitude of the Y balance mass using a vector diagram.
2.5
Determine the magnitude of the X balance mass using a vector diagram.
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