Question

In the analysis of torsional vibrations of the shaft, the node of the shaft is characterized by the:

• A. Maximum angular displacement
• B. Maximum angular velocity
• C. Zero angular displacement
• D. Maximum angular acceleration

Hint:

In torsional vibrations, nodes are the points along the shaft where angular displacement is zero, and they play a key role in determining vibration modes.

Answer 1

The Correct Option is C

Step 1: Understanding Torsional Vibrations
In torsional vibration analysis, the shaft vibrates about its axis, and the vibration causes angular displacements at different points along the length of the shaft.
Step 2: Node of a Shaft in Torsional Vibration
A node is a point along the shaft where there is no angular displacement during the vibration. It is the point of zero displacement, meaning the material at this point does not move during vibration, though other points along the shaft do.
Step 3: Conclusion
Therefore, the node is characterized by zero angular displacement. This makes option (3) the correct answer.