10° A cable B 15° rope

The diagram below shows a rigid body ABC held in equilibrium by a ball-and-socket joint at A and three cables: BD, BE and CD. A 1.80 kN force is applied at F. The mass of ABC can be neglected. a) Draw a large, clear free-body diagram for ABC. b) Determine Cartesian component force equations of equilibrium for ABC

A utility pole supports a wire that exerts a maximum horizontal force of 500Ib at the top of the pole as shown. The pole’s weight is 100Ib. The pole is supported at point A by a concrete foundation, and this foundation is normally adequate to support the pole without any support. (a) determine the reactions at point A. It is worth noting that the pole is in a congested region. Considering the safety of the population as your number one priority and in the perspective to prevent any catastrophic failure, you are asked to design a support system for the pole in case the pole is sited in poor soil, or when the horizontal force from the electrical wire is too high. Whatever support member you choose, only one support may be attached to the utility pole, and this must be at the eyebolt C. (b) Clearly draw and explain using clear and simple sentences your design idea. (c) Determine the maximum force that can be supported by the proposed design support system for the pole in case the reaction…

12 3 ft 3 ft D 4 ft 7.0 ft В 4 ft 7.8 ft Boom AC has negligible weight and is in equilibrium. The boom is supported by cables at D and E and a ball-and-socket joint at A. The suspended crate weighs 62 lb.