3 kN/m В 8 m 4 m D 10 m 5 kN H. = 5 kN A A M, = 66 kNm a Va= 24 kN
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- Q4 length in m=406= tan-¹ μs The Clamp: Ex.1 (Part 1/2) 24 ?w=? us= 0.3 = 16.7° a) Fon block= FP-400N Lead=4mm T=40Nm D=10mm R=10cm F = FP W F Lead angle Lead 0 -2πr- [0] Φ 10Q4 Figure Q4 shows an aeroplane approaching a runaway for landing. The aeroplane consists of front and rear landing gear set which have different stiffness values. The front landing gear set has stiffness coefficient value, kı = 600 kN/m while the rear landing gear set has stiffness coefficient value, k2 = 700 kN/m. The distance of each landing gear to the center of gravity is l; = 9 m and I2= 2.5 m respectively. The mass of the aeroplane is given as m = 10,000 kg while the radius of gyration, rG= 2 m. By neglecting the damping coefficient of the landing gear: (a) Illustrate the problem as mass-spring system. (b) Construct the equation of motion, complete with all values in the matrix form.
- Q1 Two spur gears in a simple train shown in Figure Q1 are having the same module, m = 2 and their respective number of teeth is NTm = 30 for the driver gear, and NTG = 45 for the driven gear. The inertia of the gear attached to the motor is Im = 0.1 kgm? and the inertia of the second gear is IG = 0.1 kgm?. The second gear is connected to a pulley with the radius of 30 mm. The pulley is hoisting up the 2kg load with acceleration of a = 2 ms?. Given the gear transmission efficiency is 90%. a) Based on the module and number of teeth given, examine the pitch diameter of eachgear. b) Considering acceleration of load at 2 ms-?, evaluate the torque of the motor toovercome gears inertia.Solve for Problem 2, when RN1 = 0145A 60 mm diameter shaft AB is rigidly attached to the beam CDFH of 30 mm by 40 mm rectangular cross-section as shown in Figure Q4. The beam is pin supported at C and H. A torque of 2 kN.m (moment about z axis) is applied to end B of the shaft. Determine: (a) the reactions at supports Cand H, (b) the rotation about z axis of end B of the shaft by using Castigliano's second theorem, (c) the slope (rotation about z axis) at point C of the beam by using Castigliano's second theorem. The shaft and the beam are made of an aluminum alloy for which E = 72 GPa and G=27 GPa. Assume that the hub DF is rigid and neglect the strain energy due to transverse shear.
- (8) An axle (non-rotating) is to be machined from AISI 1144, OQT 1,000°F, to the proportions keyway в shown, with a fillet radius r = 0.2D; F varies 1.SD from 400 lb. to 1,200 lb.; the supports are to the left of B, not shown. Let N = 2 (Soderberg Line). 6" (a) At the fillet, compute D and the 30 maximum tensile stress. (b) Compute D at section B. (c) Specify suitable dimensions. Keeping the given proportions, would a smaller diameter be permissible if the fillet were shot-peened?A camera tripod is set up as shown below. The tripod is pretty fancy and has self-balancing legs. The camera weighs 47 N. Felicia Filmmaker has positioned the tripod as follows: CA=-4 myA=0 m zĄ = 6 m B = -2 myB = 0 m zB = -6 m xc = 6 myc = 0 m zc = -4 m xD = 0 myD = 12 m ZD = 0 m Python input: X_A = -4 y_A = 0 Z_A = 6 X_B = -2 y_B = 0 Z_B = -6 X_C = 6 y_C = 0 Z_C = -4 X_D = 0 y_D = 12 Z_D = 0 Action! A Z number (rtol=0.01, atol=1e-05) number (rtol=0.01, atol=1e-05) number (rtol=0.01, atol=1e-05) y D B --- X Determine the magnitude of the force in each leg of the tripod to keep it in equilibrium: FAD = FBD = FCD = N ? N NDraw V & M diagram 800 Ib 1000 Ib 4000 Ib 200 Ib 4' 6' 4' R R2
- @ ll 65% 1:20 PM Edit 18 TREBLA Questian B2 The hydraulic cylinder shown in figure B2a exerts a force of 3 kN drected to the right on point Band to the left on point E. If the drum is required to rotate dockwise at a constant speed a. Copy and complete the free body diagram (figure B2b) by supplying the missing forces, moments, labels and dimensions. b. Detemine the magnitude of the couple M required to rotate the drum dockwise at a constant speed [5 marks] [10 marks) H,=0.40 H-0.30 D. 150'mm 150 mm E 300 mm 300 mm 150 mm 150 mm 250 mm Figure B2a 150 mm 300 mm 150 mm Figure B2b DO פם B8 W Tools Mobile View Share PDF to DOC 3For base case: N= 3500 rpm. D = 8 and 3/8 inch, Q = 400gpm, H = 280 ft, P = 41 hp, %3D Determine new Q. H, and P for |(a) when diameter is changed to 7" and speed is constant (b) when speed changes to 1750 rpm and diameter is constant (base case diameter)As seen in the figure, the block on an inclined plane is lifting from 0 0 with two degrees increment in each step. (0, = 0, 0 =2, 02 = 4, ..) Until which degree can we increase the angle without any slipping between the block and the inclined plane? For condition of F > F, the block continues to hang on the inclined plane. Otherwise, it starts to slip. F, = W + sin8(rad), Fy = W+ cosa(rad) F = F, + u, u = 0.50, W = 100 N