what is the balancing mass at a radius of 40cm and what is the residual unbalance force

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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a) A single cylinder reciprocating engine has a stroke 40cm and the crank makes 250 r.p.m. The reciprocating parts mass is 60kg and the mass of    the revolving parts at 20cm radius is 40kg. If two-thirds of the                 reciprocating mass and all the revolving mass is to be balanced, what is the balancing mass at a radius of 40cm and what is the residual unbalance force when the crank is at 60º from the top dead centre.

b)  A shaft is  supported at bearing at A and B, 2m apart. A rotor of total mass 30kg is mounted at a point 0.6m from bearing A. Owing to faulty mounting the centre of gravity of the rotor is offset 3mm around the axis of rotation. Calculate the dynamic loads on the bearings when the shaft rotates at 600rev/min. calculate also the maximum and minimum loads on the bearings.  

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