Machine Design
The shear stress at a point in a shaft subjected to a torque is

Inversely proportional to the applied torque and the polar moment of inertia
Directly proportional to the applied torque and the polar moment of inertia
Directly proportional to the polar moment of inertia and to the distance of the point from the axis
Directly proportional to the applied torque and inversely proportional to the polar moment of inertia

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Machine Design
The elasticity is the property of a material which enables it to

Regains its original shape after deformation when the external forces are removed
Resists fracture due to high impact loads
Retain deformation produced under load permanently
Draw into wires by the application of a tensile force

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Machine Design
In a hydrodynamic lubricated bearing

There is a thin film of lubricant between the journal and the bearing
There is no lubricant between the journal and the bearing
There is a thick film of lubricant between the journal and the bearing
The lubricant is forced between the journal and the bearing, by external pressure

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