Theory of Machine
A machine mounted on a single coil spring has a period of free vibration of tp . If the spring is cut into four equal parts and placed in parallel and the machine is mounted on them, then the period of free vibration of the new system will become

16 tp
4 tp
tp /4
tp /16

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Theory of Machine
In a steam engine, the earlier cut-off with a simple slide valve may be obtained by increasing the steam lap and the angle of advance of the eccentric but keeping constant the travel and lead of the valve, this method will

Cause withdrawing or throttling of steam
All of the listed here
Reduce maximum opening of port to steam
Reduce length of effective stroke of piston

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