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- A pyramid ABCD, the head poiut A( 2,5, 4) and base points B(2, 0.5,o), Cco5, 2, 0 and D(-4 o, 0). Reflect it about xz 2 the transformation 2 Draw Using CADDetermine the DE for: Straight lines at a fixed distance P from the origin. a. (xy" – y)? = P²[1+ (y')²] %3D b. (xy' – y)? = p2[1+ (y')²] c. (xy' – y)3 = p3[1+ (y')³] d. (xy" – y)3 = p³[1 + (y')³] e. none of these18. Find the quotient of A/B if: A = = 31 4 2. 41 21 B = [131]
- Find the final location P* of the point P (12,15,10) mm subjected to first mirroring transformation about Z-axis followed 30° about the MS Y-axis, followed finally by translation by d-[5.7.8]. 1 Add fileWrite down the homogeneous transformations AT & T for the frames shown in Fig.2 Fig.2 Ŷ₁ 30⁰ ZA XA Ŷc XB & Xc 2B 2c ŶB 22) The vertices of a wedge are given in the matrix show below. Rotate the wedge 30* CCW around the x-axis and then 45° CW around the y-axis. r0 0 0 0 0 11 4 0 0 [P] 4 0 2 0 3 o 3 0.
- BUESTION 5 Tit x- aund Use parametric expresion fra oly differentiat on aud find au m its simplest form.2. Focusing Distance For a camera with a lens of fixed focal length F to focus on an object located a distance x from the lens, the film must be placed a distance y behind the lens, where F, x, and y are related by 1 1 1 y F (See the figure.) Suppose the camera has a 55-mm lens (F = 55). (a) Express y as a function of x, and graph the function. (b) What happens to the focusing distance y as the object moves far away from the lens? (c) What happens to the focusing distance y as the object moves close to the lens? F-force 15[kN-m¹] JUN JUL A 2m. 2m 2m 7x incl 25[KN) Find location of the application of the resultant to generate the proper moment of force about 0. Ge
- Consider the robotic arm placed on the zy-place as shown below. Let O be the origin and assume that joint A is on the y-axis. It is given that |OA|-0.6 m. |AB|-1.3 m, IBC) - 1.7 m, ICD-1.2 m, [DE] -0.4 m, ZOAB 160°, ZABC-43° and ZBCD-120°. It is also given that DE || OA. Answer the following. a. Find the direction angle of CD in standard position. Direction angle b. Find ZCDE. ZCDE- c. Find the horizontal distance h and the vertical distance e between O and E. Round your answers to at least 2 decimal places. h- ******** m mFor the given 2D element shown in the diagram with positions A = 5 m and B = 5 m, answer the following: a) X (0,B) 1 2 (0,0) 3 (A,B) DIAGRAM NOT TO SCALE Write the expression of basis function associated with point 1, in terms of x and y Submit part Unanswered b) The displacement of node 3 is 0.3 m in the x direction, and 0 in the y. All other node displacements are zero. What is the normal strain component across the element? Submit part UnansweredGiven: F₁ = + < -13.6, 15.6,07 [N] 1₂= 20.1[N] 8 = 45° witch w = 1.875 m Height = 1.875m h h L 144 ( force would need to act ? Y W 1644 11. X 154 varhar is X-dorance from the origin The resultant