Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Problem 12.44 in picture The 12-lb fly balls of a centrifugal governor revolve a

ID: 2174887 • Letter: P

Question

Problem 12.44 in picture

The 12-lb fly balls of a centrifugal governor revolve at a constant speed v in the horizontal circle of 6-in radius shown. Neglecting, the weights of links AH. BC AD and DF and requiring that the links support only tensile lories, determine the range to the allowable values of v so that the magnitudes of the forces in the links do not exceed 17 lb. Fig. P12.43 A130-lb wrecking ball B is attached to a 45-it-long steel cable AH and swings in the vertical are shown. Determine the tension in the cable (a) at the top C of the swing, (b) at the bottom D of the swing, where the speed of B is 13.2 ft/s.

Explanation / Answer

(a) at top 'c' position ; speed of ball = 0 so mg cos20 = T = 130 * 31.174 *.9396=3807.841 at bottom d tension T = mv^2/r + mg = 130*(13.2)^2/45 + 130*31.174 = 4198.416