Answered: A prop shaft of a heavy-duty truck has…

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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Question

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 (MB = 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:

Draw a diagram illustrating the position of masses on the shaft.
2.1.
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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