Theory of Machine
Crowning on pulleys helps

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

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Theory of Machine
When a mass of a critically damped single degree of freedom system is deflected from its equilibrium position and released, then it will

Return to equilibrium position without oscillation
Oscillate with decreasing amplitude
Oscillate with constant amplitude
Oscillate with increasing time period

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