Question

Let r represent the radius of rotation, then for an unstable spring controlled governor, which of the following relation regarding controlling force is true? (a,b are constants)

(a) Fc = ar-b

(b) Fc = ar +b

(c) Fc = ar

(d) Fc = a

I have been asked this question in semester exam.

Question is from Controlling Force Diagram for a Spring-controlled Governor in chapter Governors of Machine Dynamics

Answer 1

Right answer is (b) Fc = ar +b

To explain I would say: The relation between the controlling force (FC) and the radius of rotation (r) for the unstability of spring controlled governors is given by the following equation:

Fc = ar+b.