4,5 in. TC 6 in. 4.5 in. TB

0.6 m 0.4 m -2.0 m -0.3 m C A B E F D 3 kN 50 kN H K 2.0 m -2.0 m - 0.5 m 0.9 m A load of lumber of weight W is raised as shown by a mobile crane. At this instant, the wheel at H is locked and the wheel at K is free to rotate. The external load W is attached via a hook to a cable that is supported by frictionless pulleys A and E, attached to boom ABC, and the cable is secured to a motorized winch under the hood. Boom ABC is supported by both boom BF and rod CD via hinge joints at B and C, respectively. The piston rod CD is also hinged at D and is used to change the angle of boom ABC by pivoting the boom about hinge B; at this instant, AB is horizontal and CD is vertical, as shown. The weight of the boom ABC and the weight of the vehicle body are 3kN (acting at 2.0 m from A, as shown) and 50KN (acting 2.0 m from H, as shown), respectively. All dimensions are in meters. A. Determine the maximum operating load W that can be sustained without tip over.

End B of the uniform 2.7-kg bar AB is connected to a small roller that moves in a horizontal slot. The other end of the bar is pinned to the homogeneous 1.8-kg disk that rolls without slipping on the vertical surface. The spring attached to A has a free length of 0.3 m and a stiffness of 58 N/m. After the system is becomes horizontal. Determine the magnitude of the force P that acts on the bar at B. 2.1 m 0.24 m 0.9 m www 1.8 kg 1.5 m 2.7 kg P

4.142 Do not type