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.
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- 5. 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.Using the Cartesian components (rectangular components), determine the resultant of the force vectors answering the magnitude in the space provided below and the direction in the procedure document. Only handwritten Draw to approximate scale the sum-of-forces polygon showing the original vectors and the resultant. In a separate document show the entire work. F = 252lbs, F₂ = 130lbs, a = 65° F3 = 55lbs, m = 6.2, and n = 8.6Example 15: The man shown in Figure pulls on the cord with a force of 70 lb. Represent this force acting on the support A as a Cartesian vector and determine its direction. 30ft -S t- 6 ft 12 it
- Problem 6: Inputs: a = 600 mm b= 400 mm c = 200 mm F = 100 N The line of action of the force vector passes through points B and C. B N TB (a) Use the cross product to compute the moment about point A. For this part, you must use B in F your vector formulation. That is, compute MA = B x F. Express your answer as a vector and convert "mm" to "m". a b (b) Now use a different position vector, r, in the cross product. This time use rc to to compute the moment about point A. For this part, you must use rc in your vector formulation. Compute MA = rcx F. Express your answer as a vector and convert "mm" to "m". c) Do your answers agree? Yes or no. E By the way, how do you express the force as a vector when you are only given magnitude? Don't forget what we did on the last homework assignment: Position vector → Unit vector → Force vector. yQ) A simplified model as shown in figure below of a planar robotic arm. You may assume that each segment has length 1.5 m, and the applied force is 250 N. 01 = 35 degree and 02 = 03 = 20 degree. Calculate the moment that the force, F, exerts .about the point A F C A M = -1042 M = -1055 M = -1050 M = -1046S00 Ib In the fig. shown, compute the ff: (16-18) the resultant using cosine law (force polygon) 60 R = 35 (19-20) the angle of the R measured 500 lb cW from the x- axis.
- A 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 )NProblem 3. What is the moment of the 1.4 kN force along the direction of the 1.0 kN force? Express your answer as a magnitude and sketch the direction of rotation about the axis defined by the 1.0 kN force TIGBAO TK 1.0KN X 539 indi 21 150 mm 195 mm 2 4 160 mm 21% ARD 19TO 1.4 kN MEBIRT 0 DAW ITOM 00 1400HOME WORK 3 Determine the resultant force at A. for the figure below Hint : 1- Find the position of all points A,B,C (x, y, z) 2- Find FAR and FAC 3- Find |raR| and Iracl 4- Find FAR = F UAB and FAC = F UAC 5- Finally find R and a, B,Y 3m Fc= 500N FB= 500N 3m 5m 3m B 4m 2m 5m
- $ Magnitude R= Direction 8 = Three forces act on point : A = 60 N at 135°, B = and C in this diagram to the correct magnitudes and directions. When this has been done correctly the dotted vector will become solid. 50 N at -45° and, C= 75 N at 60° 2. Pick up vectors A, B and C by their tails, and move them into a tip to tail arrangement. When this has been correctly done the resultant R will appear. measured Estimate the magnitude and direction of the resultant Based on this diagram, estimate the magnitude R and direction of the resultant. from the force R using the tip-to-tail method. 1. Move the tips of forces A, B, Submit part Submit partFind the desired ones by randomly typing two A and B vectors in the form below. A = (5) i + (7) j + (10) k B = (2) i + (3) j + (5) k The cross product A x B =? Scalar product A x B =? Intensity A x B =?m 3m F = 500 N Find the scalar values in each coordinate axis of force vector F.