(4) The tension in cable CD is T = 500 N acting at point C of the plate as shown. Use the geometric method to determine the moment vector of the tension force about point A Ans: Mo=72î-19.2ĵ + 72k N·m 80 mm 80 mm 240 mm N T 240 mm A x B 300 mm
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- Write Newton’s Second Law of Motion for three-dimensionalmotion with only the gravitational force (acting in the z-direction).(5) The turnbuckle is tightened to produce a 1.2 kN tension force in cable AB acting at point A of the arm. Use vector cross product to determine the moment vector of the tension about point O and then calculate its magnitude. Ans: Mo=-1.371 +2.19j+1.097 kN·m, Mo 2.81 kN·m 1.6 m 2 m 1.5 m 0.8 m B(5) The 16 N force is applied to the foot valve AC at point A as shown with a = 28°. Determine (a) the force component perpendicular to line BA and (b) then calculate the moment produced by the force about point B. Ans: (a) 7.51 N (b) MB = 1.277 N·m CCW 20° 16 N 170 mm 80 mm
- A yacht sets off from the port in Abu Dhabi and travels 350 km at 145' towards the Persian Gulf and then cruising north for another 180 km, before finally heading in the direction of N 25' E for another 210 km towards the port in Iran. Demonstrate the movement of yacht using a suitable diagram and then find its net distance from the starting point and the end point.Find the moment of inertia: x = y +1; y = 1; y = 2; x = 0 about x-axis.A helicopter flies over the arctic ice pack at a constant altitude, towing an airborne 147-kg laser sensor which measures the thickness of the ice (see the drawing). The helicopter and the sensor move only in the horizontal direction and have a horizontal acceleration of magnitude 2.54 m/s2. Ignoring air resistance, find the tension in the cable towing the sensor.
- Just explain thxA 50-kg wagon is pulled to the right by a force F1 making an angleof 30◦ with the ground. At the same time, the wagon is pulled to theleft by a horizontal force F2.(a) Find the magnitude of F1 in terms of the magnitude of F2 if thewagon does not move.A particle is executing S.H.M, with amplitude 5 meters and time 4 seconds. Find the time required by the particle in passing between points which are at distances 4 and 2 meters from the centre of force and are on the same side of it.
- The force P = 15 lb is applied to the cable and the cords slip on the smooth surfaces of the non- rotating pulleys. Determine the magnitude and direction of the acceleration of the 36-lb cylinder if (a) the pulleys are massless, (b) the pulleys are 4 lb each. (a = 21.5 ft/sec², a = = 6.9 ft/sec²) P WA basket of flowers of mass 3 kg is placed on a flat grassy slope that makes an angle θ with the horizontal. The coefficient of static friction between the basket and the slope is 0.45 and the basket is on the point of slipping down the slope. Model the basket of flowers as a particle and the grassy slope as a plane. Take the magnitude of the acceleration due to gravity, g, to be 9.8 m s−2 Express the forces in component form, in terms of θ and unknown magnitudes where appropriate. Write down the equilibrium condition for the basket and hence show that tan θ = 0.45. Determine the angle, in degrees, that the slope makes with the horizontal.(7) The effect of a slam dunk can be simulated by a force F = 47 lb acting at the front edge of the rim at point A shown. Use the scalar components approach to determine the moments of the force F about point O Mo and point B MB. Ans: Mo=81.5 lb-ft CCW, MB = 115.9 lb-ft CW -36"- B 12" 28" 10' F