Machine Design
A screw will be self locking, if

Efficiency of screw is 100%
Friction angle is equal to helix angle
Friction angle is more than helix angle
Friction angle is less than helix angle

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

Directly proportional to the applied torque and inversely proportional to the polar moment of inertia
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

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