The machine shown is used for moving heavy items such as pallets of bricks around construction sites. For the horizontal boom position shown, determine the force in each of the two hydraulic cylinders AB (positive if in tension, negative if in compression). mass of the boom is 1300 kg with mass center at G1, and the mass of the cube of bricks is 2000 kg with mass center at G2. Assume a = 680 mm, b = 150 mm, c = 560 mm, d = 680 mm, e = 1820 mm, and f = 2870 mm. f B a G1 AB = kN

A glue-laminated timber beam is reinforced by carbon fiber reinforced plastic (CFRP) material bonded to its bottom surface. The cross section of the composite beam is shown in figure below. The elastic modulus of the wood is E= 12 GPa and the elastic modulus of the CFRP is 112 GPa. The simply supported beam spans L = 6 m and carries a concentrated load P = 4.4 kN at midspan, see figure below. A If b₁ = 81 mm and b₂ = 35 mm determine: L/2 B L/2 C CFRP b₁ b₂ 250 mm 3 mm