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- 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 N42 F=Fcos ex lok 14k = Fsin By Fy= Fsin Ox = Fuos y F - angles 12k 15k 8k Find Re = 7k TF (hye slopes #3/ 4 tan = 15 16 1316 3 IN 1016 48 63 ISK hyp √√13 = 3.61 Fx-156 Fy = 15 ( 2³ 41 ) = 2516 7th 3lb Find R+OA 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 N
- In the graph the force versus displacement of a spring is given (the spring is shown in a separate figure--see below). The x-axis range is ±2 cm. The y-axis range is tFs, where Fs = 220 N. How much work does the spring do on the block (the mass "m") when the block moves from x₁ = 7.6 cm to 4.3 cm? W J y F. X -1.5 -0.5 0 10.5 1 1.5 -F How much work does the spring do on the block (the mass "m") when the block moves from x; = 7.6 cm to -7.6 cm? W = Question Help: Read Submit Question mAfter recording the applied twisting moment and resulted angle, fill the following table MT (N.m) T. MPa (degree) (rad.) Now, the twisting moment-twisting angle and shear stress-shear strain curves can be plotted, then determine maximum shear stress, shear stress at proportional limit and modulus of rigidity. 4-6 Problem The following torsion test data were obtained for AA6061-T6 aluminum alloy has a round cross section with 30mm outer diameter, 0 inner diameter and 100 length. 0 32 130 Twisted angle (): 0 1 Torque (N.m): 286 347 487 5.5 591 786 910 1105 1163 1235 1222 3.5 6.5 7.5 9. 10.5 13.5 16.5 21.5 25.5 > Plot the torque-twisted angle curve and determine the proportional limit on it. Plot the shear stress-strain curve the determine the shearing strength and modulus of rigidity. Prof. Adnan N. Abood Asst. Lec. Zainah Waheed 254- 100 ft tape was used to measure line DF; if the correct tape length is 100.05 ft, the field temperature is 37°, the standard temperature is 20°, the thermal expansion coefficient is 0.00004, Calculate the corrected distance if the measured one is 425.50 ft.
- Problem 2: Review of Statics & Mechanics Consider the beam below. The beam has a pin support on the left and a roller support at the right. The beam is loaded by two point loads of 15 and 7.5 kN, respectively. The beam has the cross- section shown on the right. 15 kN 7.5 kN 20 mm: 150 mm Centroid 20 mm |C 150 mm 1.5 m 1.5 m-+1.5 m 1.5 m- 20 mm -250 mm- a. Find the support reactions at A and B. b. Determine the axial force, shear force, and moment at point C. c. The beam has the I-shaped cross-section provided above. Determine the maximum stress due to bending at point C. Sketch the bending stress distribution over the cross-section at point C, indicating the value at point b as well as any maxima and minima.Part A If P = 270 Ib. determine the horizontal displacement of point using Castigliano's theorem. Each A-36 steel member has a cross-sectional area of 2 in?. (Figure 1) Express your answer with the appropriate units. (A); = 7.86 • 10¯ in Submit Previous Answers Request Answer X Incorrect; Try Again; 28 attempts remaining Provide Feedback 8 ft -6 ft 6 ftThe beam is supported by a fixed support at point A. There are 2 distributed loads applied to the beam. Neglect the weight and thickness of the beam. Take the origin for all functions to be at A. , i.e. start at the left and go right. Must use positive sign convention for V and M. W1 A W2 d1 Values for the figure are given in the following table. Note the figure may not be to scale. Variable Value di 3 m W1 6 (kN)/m W2 3 (kN)/m a. For the interval 0 < x < 3 m, determine the equation for the Shear Force as a function of x, V(x). b. For the interval 0 < x < 3 m, Use integrals to determine the equation for the Moment as a function of X, M(x). o Enter the coefficient of the x term as a fraction and the rest as decimals. for example, x4 1.4x c. Determine the magnitude of the max shear on the beam,Vmax d. Determine the magnitude of the max bending moment on the beam, Mn max