Theory of Machine
The critical speed of a shaft with a disc supported in between is equal to the natural frequency of the system in

Transverse vibrations
All of these
Longitudinal vibrations
Torsional vibrations

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Theory of Machine
Which of the following statements regarding laws governing the friction between dry surfaces are correct?

The friction force is dependent on the materials of the contact surfaces.
The friction force is independent of me area of contact.
All of these
The friction force is directly proportional to the normal force.

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