The crank AB in the slider-crank mechanism is rotating counterclockwise with constant angu...

The crank AB in the slider-crank mechanism is rotating counterclockwise with constant angular velocity ωAB. The crankshaft radius is R, the length of the connecting rod BC is L, and the distance from the mass center of the connecting rod D to the end of the crank at B is d. The mass of the connecting rod is mD, the mass moment of inertia of the connecting rod is ID, and the mass of the piston is mC.

(a) Using the component system shown, determine the x and y components of the forces on the connecting rod at B and C as functions of the crank angle θ.

(b) Using, ωAB = 5700 rpm, R = 48.5 mm, L = 141 mm, d = 36.4 mm, mD = 0.439 kg, ID = 0.00144 kg · m2, and mC = 0.434 kg, plot each of the four force components, the magnitude of the forces at B and C, and the moment acting on the connecting rod about point D, all as a function of θ, for one full rotation of the crank.

Hint: The kinematics of this problem have been considered in Example 6.10 on p. 504.

Figure P7.63