Machine Design
A fast and loose pulley drive is used when

Shafts are arranged at right angles and rotate in one definite direction
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 parallel and rotate in the same directions

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Machine Design
The ends of the leaves of a semi-elliptical leaf spring are made triangular in order to

Make M/I constant throughout the length of the leaf
Obtain variable moment of inertia (I) in each leaf
Permit each leaf to act as an overhanging beam
Have variable bending moment (M) in each leaf

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