Express the 4.5-kN force F as a vector in terms of the unit vectors i, j, and k. Determine the scalar projections of F onto the x-axis and onto the line OA. Answers: F=(i Fx= i FOA = i z 26° F = 4.5 KN 52° A 33° i+ i kN kN j+ i k) kN

At a certain instant, the particle of mass m has the position and velocity shown in the figure, and it is acted upon by the force F. Determine its angular momentum about point O and the time rate of change of this angular momentum. Use m = 2.8 kg, a = 0.58 m, b = 0.98 m, c = 0.60 m, and F = 100 N and v = 3.5 m/s. m F

Q.3) Determine Ixx and lyy for the composite section shown below. 50 mm 25 mm 30 mm 25 mm 50 mm 50 mm

Question 6 a) The bore of each cylinder in a six-cylinder car engine is 45 mm and the stroke for each piston is 125 mm. calculate the cubic capacity of the engine in cubic centimetres (cm³); and calculate the clearance volume per cylinder for a compression ratio, r, of 8.75. b) The bore of each cylinder in a four-cylinder four-stroke internal combustion engine is 38 mm and the stroke of each piston is 165 mm. During testing, the engine runs at 180 revolutions per minute (rpm) with a pressure-volume indicator diagram showing a mean net area of 3.4 cm² and a diagram length of 1.2 cm. The pressure scale on the indictor diagram is set to 150 kN/m² per cm. Calculate the mean effective pressure (m.e.p) and the indicated power developed by this four-cylinder four-stroke engine. c) Figure Q6c shows a pulley system with a suspended load w of 2000 N. Calculate the following: (i) (ii) (iii) (iv) The effort force (FEffort) necessary to lift and hold a load of 2000 N. The ideal mechanical advantage…