Machine Design
A fast and loose pulley drive is used when

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
Shafts are arranged parallel and rotate in the same directions
Shafts are arranged parallel and rotate in the opposite directions

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

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

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