Question

The operation of the fuel pump for an automobile depends on the reciprocating action of the rocker arm ABC, which is pinned at B and is spring loaded at A and D. The smooth cam C is in the position shown. The vertical force acting on the rocker arm at A is FA = 45 N , and at C it is Fc = 135 N. (Figure 1) Figure < 1 of 1 E 30° Fc FA ВО D -50 mm -20 mm- 10 mm

Determine the xx and yy components of the reaction force on the rocker arm ABCABC at the pin for equilibrium.

Determine the magnitude of the force along the spring DFDF for equilibrium.

Answer 1

Given USN FA 135 N Fc Bu A B Fc » EMB=0 By Somn 10mn zann - FA(50) - FRCOS (30)10 + Fc (30) = 0 -45(50) - FB COS 30x10 + 135 x 30 -0. FB: 207.85 N -> Efr 0 - Bxt 207.85.sin 30 = 0 103.92 N Bra -> Efy = 0 207. 85 COS 30 = 0 45 +135 - By 1) - 3.38x103 By