Theory of Machine
The factional torque for square thread at the mean radius r while raising load W is given by

T = W.r tanα
T = W.r tan(φ - α)
T = W.r tan(φ + α)
T = W.r tanφ

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Theory of Machine
Crowning on pulleys helps

In increasing velocity ratio
Increase belt and pulley life
In decreasing the slip of the belt
For automatic adjustment of belt position so that belt runs centrally

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