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Q1 The girl has a mass of 17kg and mass center at Gg, and the tricycle has a mass of 10kg and mass center at Gt. Determine the normal reactions at each wheel for equilibrium. A. NA = 14.77 N, NB = NC = 6.12 N B. NA = 128.8 N, NB = NC = 68.0 N C. NA = 144.9 N, NB = NC = 60.0 N D. NA = 13.15 N, NB = NC = 6.93 N
Q2 The sports car has a mass of 1.5 Mg and mass center at G. If the front two springs each have a stiffness of kA=58 kN/m and the rear two springs each have a stiffness of kB = 65 kN/m, determine their compression when the car is parked on the 30° incline. Also, what frictional force FB must be applied to each of the rear wheels to hold the car in equilibrium? A. xA = 16.1 mm, xB = 42.2 mm, FB = 6.37 kN B. xA = 65.9 mm, xB = 39.2 mm, FB = 6.37 kN C. xA = 53.2 mm, xB = 50.5 mm, FB = 3.68 kN D. xA = 76.1 mm, xB = 45.3 mm, FB = 3.68 kN
Q3 Determine the tension in the supporting cables BC and BD and the components of reaction at the ball-and-socket joint A of the boom. The boom supports a drum having a weight of 200 lb. at F. Points C and D lie in the x—y plane. A. Ax = 0, Ay = 150 lb, Az = 562 lb, TBC = 300 lb, TBD = 212 lb B. Ax = 0, Ay = 150 lb, Az = 456 lb, TBC = 150 lb, TBD = 212 lb C. Ax = 0, Ay = 267 lb, Az = 843 lb, TBC = 533 lb, TBD = lb D. Ax = 0, Ay = 150 lb, Az = 500 lb, TBC = 212 lb, TBD = 212 lb
Q4 The space truss is supported by a ball-and-socket joint at A and short links, two at Cand one at D. Determine the x, y, z components of reaction at A and the force in each link. A. Ax = -1.050 kN, Ay = 1.050 kN, Az = 0.800 kN, Cy = -1.050 kN, Cz = 0.600 kN, Dx = 1.050 kN B. Ax = -1.400 kN, Ay = 1.400 kN, Az = 0.800 kN, Cy = -1.400 kN, Cz = 0.600 kN, Dx = 1.400 kN C. Ax = -2.49 kN, Ay = 1.867 kN, Az = 0.800 kN, Cy = -2.49 kN, Cz = 0.600 kN, Dx= 2.49 kN D. Ax = -1.867 kN, Ay = 1.867 kN, Az = 0.800 kN, Cy = -1.867 kN, Cz = 0.600 kN, Dx = 1.867 kN
Q5 Determine the force in each member of the truss and indicate whether the members are in tension or compression. A. CB = 447 N C, CD = 200 N T, DB = 800 N C, DE = 200 N T, BE = 447 N T, BA = 894 N C, AE = 800 N T B. CB = 447 N T, CD = 200 N C, DB = 800 N T, DE = 200 N C, BE = 447 N C, BA = 894 N T, AE = 800 N C C. CB = 894 N T, CD = 800 N C, DB = 800 N T, DE = 800 N C, BE = 894 N C, BA = 1789 N T, AE = 800 N C D. CB = 894 N C, CD = 800 N T, DB = 800 N C, DE = 800 N T, BE = 894 N T, BA = 1789 N C, AE = 800 N T
Q6 The principles of a differential chain block are indicated schematically in the figure. Determine the magnitude of force P needed to support the 800-N force. Also compute the distance x where the cable must be attached to bar AB so the bar remains horizontal. All pulleys have a radius of 60 mm. A. P = 80 N, x = 240 mm B. P = 80 N, x = 180 mm C. P = 40 N, x = 180 mm D. P = 40 N, x = 240 mm
Q7 The elevator E and its freight have a total mass of 400 kg. Hoisting is provided by the motor M and the 60-kg block C. If the motor has an efficiency of e = 0.6, determine the power that must be supplied to the motor when the elevator is hoisted upward at a constant speed of vE = m/s. A. P = 22.2 kW B. P = 13.34 kW C. P = 26.2 kW D. P = 30.1 kW
Q8 A car having a mass of 2 Mg strikes a smooth, rigid sign post with an initial speed of 30 km/h. To stop the car, the front end horizontally deforms 0.2 m. If the car is free to roll during the collision, determine the average horizontal collision force causing the deformation. A. Favg = 4500 kN B. Favg = 9000 kN C. Favg = 347 kN D. Favg = 694 kN
Q9 Match number is significant in (a) Supersonics, as with projectiles and jet propulsion (b) Full immersion or completely enclosed flow, as with pipes, aircrafts wings, nozzles etc. (c) Simultaneous motion through two fluids where there is a surface of discontinuity gravity force, and wave making effects, as with ship’s hull (d) All of the above Non uniform flow occurs when (a) Direction and magnitude of velocity at all points are identical (b) Velocity of successive fluid particles, at any point, is same at successive periods of time (c) Magnitude and direction of velocity do not change from point to point in the fluid (d) Velocity, depth, pressure, etc. changes point to point in the fluid flow
