Machine Design
If shearing stress in nut is half the tensile stress in a bolt, then nut length should be equal to

0.75 × diameter of bolt
1.25 × diameter of bolt
1.5 × diameter of bolt
Diameter of bolt

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Machine Design
A fast and loose pulley drive is used when

Shafts are arranged parallel and rotate in the same directions
Shafts are arranged parallel and rotate in the opposite directions
Driven shaft is to be started or stopped whenever desired without interfering with the driving shaft
Shafts are arranged at right angles and rotate in one definite direction

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