The controlling force curve of a spring controlled governor is a straight line. The weight of each

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The controlling force curve of a spring controlled governor is a straight line. The weight of each governor ball is 40 N and the extreme radii of rotation are 120 and 200 mm. The values of the controlling force at the above radii are respectively 200 N and 400 N. The friction of the mechanism is equivalent to 3 N at each ball. Determine

(a) the extreme equilibrium speeds of the governor, and

(b) the equilibrium speed and the coefficient of insensitiveness at a radius of 150 mm.

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