Step 1: Understanding the Concept of Balancing
In locomotives or any rotating machinery, unbalanced forces lead to vibrations and operational inefficiency. Proper balancing of reciprocating masses and rotating masses is crucial to minimize these forces.
Step 2: Reciprocating and Rotating Masses
The reciprocating masses cause alternating forces as they move up and down, which can generate vibrations. These masses need to be balanced to minimize unbalanced forces.
The rotating masses can be used to balance the reciprocating masses. When part of the reciprocating masses is balanced by rotating masses, the unbalanced force is minimized.
Step 3: Condition for Minimum Unbalanced Force
The condition for achieving the minimum resultant unbalanced force is when half of the reciprocating masses are balanced by rotating masses. This balance helps to reduce the net forces that cause vibrations.
Step 4: Conclusion
Therefore, the minimum unbalanced force is achieved when half of the reciprocating masses are balanced by rotating masses.