A sign て is constructed from 7 mm thick plate steel (density 8000 kg/m³) with the geometry shown in the figure. The sign is connected to the wall by a pin at A and also supported by member DE. Support member DE is also constructed from 7 mm thick plate steel and is connected by pins at B and E respectively. Determine the reaction forces at A and E. Enter your answers in Cartesian components. The weights of both the sign D and member DE should be accounted for in the calculation. Assume the pins are located a distance cm away from the ends at each connection. พ 2 D W E CC ④ BY NC SA 2016 Eric Davishahl Ул B D W. -b- W C h Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 2 m b 2.6 m с 1.6 m h 1.82 m พ 3 10 cm The reaction at A is A = The reaction at E is E = 2.> i+ Ĵ N. i+ ĴN.

Q3/. The portable floor crane in the automotive shop is lifting a 420 lb engine. For the position shown compute the magnitude of the force supported by the pin at Cand the oil pressure pagainst the 3.20 in-diameter piston of the hydraulic-cylinder unit AB. See figure (3). 42 45 100 Ib 18 3 ft 3 ft- 30 200 Ib ft 30" 30 30 kg 2 ft B B Fig (1) Fig (2) Fig (3)

Frames & Machines The truck shown is used to deliver food to aircraft. The elevated unit weighs 2000 Ib with center of gravity at G. 1- Derive the expression for the force in the hydraulic cylinder AB as a function of 0 (the angle that member FD makes with the horizontal). 2- Plot the force over the range 0° < 0 < 45° and discuss your observations. Note: | would suggest that you first solve the problem based on the position (angle) shown. You will need to determine the length of members FD and FB before solving the problem for arbitrary 0. Note that the location of the roller at D and hence the force reactions will change as 0 varies. 40" 17" 57" C 54" E 54" H AB

image not drawn to scale