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Assertion (A): A dynamically balanced system of multiple rotors on a shaft can rotate smoothly at the critical speeds of the system.
Reason (R): Dynamic balancing eliminates all the unbalanced forces and couples from the system. 
  • a)
    Both A and R are individually true and R is the correct explanation of A
  • b)
    Both A and R are individually true but R is not the correct explanation of A 
  • c)
    A is true but R is false
  • d)
    None of the above
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Assertion (A): A dynamically balanced system of multiple rotors on a s...
Dynamic Balancing of Rotors

Dynamic balancing is a technique used to eliminate the unbalanced forces and couples present in a rotor system. It involves adding or removing weight from specific locations of the rotor to reduce vibration and improve the performance of the system. In this technique, the rotor is spun at a high speed and the vibration levels are measured. Based on the measurements, the unbalanced forces and couples are identified, and weight adjustments are made until the vibration levels are reduced to an acceptable level.

Multiple Rotors on a Shaft

In some systems, multiple rotors are mounted on a single shaft. These systems can be dynamically balanced to ensure smooth operation at all speeds. The critical speeds of the system are the speeds at which the natural frequency of the rotors matches the frequency of the excitation force. At these speeds, the vibration levels of the system can increase significantly, leading to failure of the components. Therefore, it is important to ensure that the system is dynamically balanced to avoid any resonance issues.

Assertion and Reason

Assertion: A dynamically balanced system of multiple rotors on a shaft can rotate smoothly at the critical speeds of the system.

Reason: Dynamic balancing eliminates all the unbalanced forces and couples from the system.

Both the assertion and reason are individually true. Dynamic balancing can help eliminate the unbalanced forces and couples from the system, and a properly balanced system can rotate smoothly at critical speeds. The reason is also correct as dynamic balancing eliminates the unbalanced forces and couples that can cause vibrations in the system.

Correct Explanation

The reason is the correct explanation of the assertion. Dynamic balancing eliminates all the unbalanced forces and couples from the system, which helps prevent vibrations and ensures smooth operation of the system at all speeds. Therefore, a dynamically balanced system of multiple rotors on a shaft can rotate smoothly at the critical speeds of the system.

Conclusion

In conclusion, dynamic balancing is an important technique used to eliminate unbalanced forces and couples from rotor systems. Multiple rotors mounted on a single shaft can also be dynamically balanced to ensure smooth operation at all speeds. The assertion and reason are individually true, but the reason is the correct explanation of the assertion.
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Assertion (A): A dynamically balanced system of multiple rotors on a shaft can rotate smoothly at the critical speeds of the system.Reason (R): Dynamic balancing eliminates all the unbalanced forces and couples from the system.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is not the correct explanation of Ac)A is true but R is falsed)None of the aboveCorrect answer is option 'B'. Can you explain this answer?
Question Description
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