For the section to the right, find the neutral axis due to the applied moment. (a) First work the problem in x' - y' coordinate system. (b) Then work the problem in x-y coordinate system and show the final location of the neutral axis is the same. 5 mm M = 400 N·m 18.57 mm 30° (₂ 5 mm 50 mm 5 50 mm mm D
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Please answer part B
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- For the section to the right, find the neutral axis due to the applied moment. (a) First work the problem in x'- y coordinate system. (b) Then work the problem in x-y coordinate system and show the final location of the neutral axis is the same. 5 mm M = 400 N·m 18.57 mm 30° 5 mm 50 mm 5 mm 50 mm O5. Find the new location of point G; initially at G = [3 0 -1] If, (i) it is rotated by 60deg. about z-axis and then translated by 3 units along y-axis, and (ii) it is first translated by 3 units along y-axis and then rotated by 60deg bout z-axis. Are the two locations same? Check and justify, whether the final position in two cases is same or different.3一4 Problem 1 Find the centroidal coordinates for the following triangles using the integrals SycdA S dA and %3D = X vp S You may utilize symmetry when appropriate. (-3,4) (3,4) (0,0) a. (5,4) (5,1) b. (4'0) (0) C. ×て (3,4) す Th-てh:8018 (-)
- Find the magnitude and direction of resultant R. when A=110N and B=55N, (-2,41 Graphical Solution 1. Use a ruler and protractor, a CAD program, or Geogebra, to carefully draw a neat, labeled, accurately scaled diagram representing the vector addition R=A+Busing the parallelogram rule. 2. Based on your scaled diagram, estimate the magnitude of resultant and its direction of measured from positive x-axis: |R|= 0₂ = |R|= Trigonometric (Exact) Solution 1. Label the three angles inside the triangle A, B, and OR where the subscript is the name of the side opposite. 2. Use law of cosines/sines to find the following values, exactly. 0₁ OB Submit part OR Submit partFrom point P to O so that the OP rope is at the point O (0,0,0) in the Cartesian coordinate system It is stretched by the force F towards the point. | OP | = 5 m, Fx = 3.5 kN, Fy = --2.5 kN and Fz = - 4.5 kN Find the P (x, y, z) coordinate. Show by drawing SCDQ Avecar A f Length 10 units.ma Kes an angle of 30 with avector Bof benath 6unuts. Find the wagnitude of the Vector difference A-B and the angle itmakes with vector A- O by the para llelagram method. O by the triangle methad. © bay the rectamqular vesalutien.
- theta = 33 degrees M1 = 450 Nm M2 = 550 Nm Мз - 650 Nm = M3 M2 Find the x-component of the resultant moment (in N-m). Find the angle of the resultant moment with respect to the positive z-axis (gamma in degrees). Find the z-component of the resultant moment (in N-m). If the calculated answer is not whole number, express it in 4 significant figures. If the value is negative, include a negative sign.16 - Find the center of gravity M (x,y,z) of the three-dimensional homogeneous ABCD wire in the figure by using the coordinate set. The dimensions of the wire are a= 24 cm, b= 36 cm. In which of the following options are the coordinates of the homogeneous wire in the x, y and z axes given correctly?A) (23.57 ; 11.43 ; 17.14)B) (23.57 ; 17.14 ; 11.43)C) (28.29 ; 13.71 ; 20.57)D) (20.61 ; 13.03 ; 9.08)E) (28.29 ; 20.57 ; 13.71)Determine the magnitude of the vector difference V' = V₂-V₁ and the angle 0x which V' makes counterclockwise from the positive x- axis. The angle 8x will be a positive number between 0 and 360°. Complete both graphical and algebraic solutions. You will have to draw an accurate figure for the graphical solution. y V₂ = 15 units ex 5 Answers: V' = 3 i Mi V₁ = 23 units --x units
- Z Y A ( 14 'X Criven: A = (8.16, 5.23, 5.23) m B = (8.16, 0₁ 5.23) n 0, m F=85.3 N with unit vetor [s0₁² (0₁0.707, 0.707) Find the moment of force about the origin forte acting acting on point A, along line ов. due to the applied forceA force couple acting on the rod. Find: The couple moment acting on the rod in Cartesian vector notation. F= (-14i + 8j + 6k)N 0.5 m 0.8 m 1.5 m 0.5 m F = (14i - 8j - 6k )NDetermine the magnitude of the vector difference V' = V2 -V1 and the angle 0x which V' makes counterclockwise from the positive x- axis. The angle 0x will be a positive number between O and 360°. Complete both graphical and algebraic solutions. You will have to draw an accurate figure for the graphical solution. y V2 = 27 units %3D V = 37 units 4 34 --x Answers: Ox = units V' =