The industrial revolution led to the invention of myriads of clever devices to c

Question

The industrial revolution led to the invention of myriads of clever devices to control the machines of production. The "Flyball Governor" for steam engines and mills is one such device. Two equal flyballs each of mass m are attached to a vertical rotating shaft by means of four equal hinged arms of length l joined to the shaft via two hinged sleeves. The upper sleeve is welded to the shaft and turns with it, but the lower one slides up and down freely and has mass M. Thus, the balls are free to swing outward and in doing so change the height of the lower sleeve. For this problem, assume that the shaft is turning at a constant angular velocity ?, and we must find the equation of motion of the system and discuss it via the energy method.

Explanation / Answer

a diagram will be appreciated..can u please upload it to assist u better

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