ISRO Mechanical & Aerospace 2025 - Question 48

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Topic: Mechanical Vibrations

In a multi-rotor system of torsional vibrations, maximum number of nodes that can occur is

  • A. Two
  • B. Equal to number of rotors plus one
  • C. Equal to number of rotors
  • D. Equal to number of rotors minus one

Answer: D. Equal to number of rotors minus one

Explanation: In a torsional vibration system with $n$ rotors mounted on a shaft, the maximum number of natural frequencies is $n-1$. Each natural frequency corresponds to a mode shape, and the highest mode shape will have a maximum of $n-1$ nodes.

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