Machine Design
The buckling load will be maximum for a column, if

Both ends of the column are hinged
One end of the column is hinged and the other end is free
Both ends of the column are clamped
One end of the column is clamped and the other end is free

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Machine Design
Crowning on pulley helps

To increase pulley life
In decreasing the slip of the belt
To keep the belt in centre on a pulley while it is in motion
In increasing the slip of the belt

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