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

Directly proportional to the applied torque and the polar moment of inertia
Inversely 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
Spring index is

Ratio of coil diameter to wire diameter
Load required to produce unit deflection
Indication of quality of spring
Its capability of storing energy

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