Considering the equilibrium of the forces acting at D, we have
Again, considering the equilibrium of the forces acting on B. The point B is in equilibrium under the action of the following forces, as shown in Fig. 6.3 (b).
(i) The weight of ball (w = m.g),
(ii) The centrifugal force (FC),
(iii) The tension in the arm (T1), and
(iv) The tension in the link (T2).
Resolving the forces vertically,
Notes : 1. When the length of arms are equal to the length of links and the points P and D lie on the samevertical line, then
Therefore the above equation becomes
2. When the loaded sleeve moves up and down the spindle, the frictional force acts on it in a directionopposite to that of the motion of sleeve.
If F = Frictional force acting on the sleeve in newtons, then the above equations get reduced as
The + sign is used when the sleeve moves upwards or the governor speed increases and negative sign is used when the sleeve moves downwards or the governor speed decreases.
