The bucket of a backhoe is the element AB of the four-bar linkage system ABCD. The bucket’...

The bucket of a backhoe is the element AB of the four-bar linkage system ABCD. The bucket’s motion is controlled by extending or retracting the hydraulic arm EC. Assume that the points A, D, and E are fixed and that the bucket is made to rotate with a constant angular velocity ωAB = 0.25 rad/s. In addition, suppose that, at the instant shown, point B is vertically aligned with point A and point C is horizontally aligned with B. Letting dEC denote the distance between points E and C, determine and at the instant shown. Let h = 0.66 ft, e = 0.46 ft, l = 0.9 ft, w = 1.0 ft, d = 4.6 ft, and q = 3.2 ft.

Figure P6.134