Problem on balancing masses


Assignment:

Question 1. A shaft 2m long 1500 rev min-1 between the bearing shown in figure  below. Bearing have forces 5kN and 3kN acting in same plane as shown. A single mass is to be used to balance the shaft so that reactions are zero. The mass is to be placed at a radius of 200mm from the shaft centre 180° from the direction of bearing reactions. Determine the size and position  ( a and b) of the mass.

1660_Balancing masses.jpg

Question 2. The shaft in Q1 is to be balanced using two masses, m1 and m2 placed 0.5m and 1.5m from A and 180° from the direction of bearing reactions, each with a radius arm 100mm long. What are the sizes of m1 and m2.

1789_Shaft.jpg

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Mechanical Engineering: Problem on balancing masses
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