Question
Download Solution PDFA rotor weighing 2 kN is supported on bearings A and B which are 1 m apart. The centre of mass of the rotor is at a distance 0.4 m from bearing A. It is observed that there is an unbalanced couple of magnitude 300 N-m which leaves the shaft balanced statically. The dynamic reactions at the supports will be
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The dynamic reaction is due to the unbalanced couple, the static reaction is due to the weight of the shaft.
The dynamic reaction due to the couple on the shaft will be equal and opposite of each other.
This reaction is given by
\(R = \pm \frac{C}{L}\)
Where R is the reaction and C is the unbalanced couple and L is the length between the supports.
Calculation:
Given that the unbalanced couple magnitude is 300 N-m
∴ Reactions will be \(R = \; \pm \frac{{300\;N - m}}{{1\;m}} = \; \pm \;300\;N\)
Last updated on Jul 2, 2025
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