Question

In a spring loaded Hartnell type governor, the extreme radii of rotation of the balls are 80 mm and 120 mm. The ball arm and the sleeve arm of the bell crank lever are equal in length. The mass of each ball is 2 kg. If the speeds at the two extreme positions are 400 and 420 r.p.m., find: the change of forces .that exert on sleeve

The question about the theory of machines , subject governors
Kindly need to solve the question within 45 minutes, please

Answer 1

Use the expression of the change of the force on the sleeve in terms of centrifugal forces of the ball in the extreme position to solve the problem.

Solution m 2 kg er, =) 80mm r2 = 120mm No = 400 rpm n₂ ) 420 rom w Yoox 25 3) 41.88 redlo Go W z 7 420 x 20 60 >> 43.98 rad's ball arm (a) sleeve arm (b) 22 condition, are here, subscript I and a used for extreme Considering ruotating eqa (Neglecting obliquity), m9, w mer, we Fs - Fsi X 2 2 Fsz - Fs, - change in the force on the sleeve of hartrell governer. Fs₂ - Fs, =) (9262 40,3) x 2 x [:-@=6) b Fs, - Fs, 2 6-0.08(41.88) + 0.12(43.9.872) x 2 Fs, Fs, = 367.176 N Ay change unit of er in meter CA