Machine Design
Slenderness ratio is the ratio of

Maximum size of column to minimum size of column
Effective length of column to least radius of gyration of the column
Width of column to depth of column
Effective length of column to width of column

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

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