Machine Design
In a belt drive, if the pulley diameter is doubled keeping the tension and belt width constant, then it will be necessary to

Decrease the key length
Increase the key depth
Increase the key length
Increase the key width

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Machine Design
Castle nut is a locking device in which

A slot is cut partly is middle of nut and then slot reduced by tightening a screw
A hard fibre or nylon cotter is recessed in the nut and becomes threaded as the nut is screwed on the bolt causing a tight grip
Through slots are made at top and a cotter pin is passed through these and a hole in the bolt, and cotter pin spitted and bent in reverse direction at other end
One smaller nut is tightened over main nut and main nut tightened against smaller one by loosening, creating friction jamming

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