Two equivalent system of forces and moments act on the plate are shown in the figure below. Determine the force P. *
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- The rigid pole and cross-arm assembly is supported by the three cables shown. A turnbuckle at D is tightened until it induces a tension T in cable CD. (i) Express T as a vector (ii) Determine the magnitude TGF of the projection of T onto line GF (iii) Determine the magnitude Top of the projection of T onto line OD 1 m, T = 8.6 kN a = 0.5 m b= C = 2 m 1m 1m G Expression of T as a vector: TCD= TUCD ICD UCD= Ircpl UCD= B 1.5 m/C 0.5 m 3 m 1.5 m i+ 2 m E (XD-Xc)i+(VD-yc)+(ZD-Zc) (XD-XC)+(YD-yC²+ (zp-zc)²1 0.00 T= 8.6 kN kReferences: 1-J.L Meriam and L. G. Kr. 2012. C. Hibbeler, Engineering Mecha tice Hall 2004, and E. R. Johnston, 'Vector Mec. ENGINEERING MECHANICS STATICS Example 6\ The t-component of the force F is known to be 75 N. Determine the n component and the magnitude of F. 72 F. 10° 30°4.2 As shown in the figure below. Try to get the numerical solutions (0₁, 02, 03) of one of above two specified positions(P₁ or P₂). Yo لیا 3 2 O P2 3 a2-60° P₁ E-α=0° 5 Xo
- Datos: F1(KN)=5 F2(KN)=20 F3(KN)=10 L1(m)=4 H(m)=-5 I add the picture of the question4G O0: D1 9:24 P Flag question Consider for the part in the figure below, a = 112, b = 50 and c= 100. be 40 a 80 20 Lt----------- Dimensions in mm Analyze the part in order to calculate the coordinates of the centre of gravity in the (x, y, z) system of coordinates. It is assumed that the following process was following for the manufacturing process • Part 1(a cubic piece of dimension 33 x 50 x 60 is cut out of a Part 2 of dimensions 145 x 50 x 80 and then • Part 3 (triangular prism) is welded Part 2 Fill in the table below with coordinates of centers of respective parts in mm Part тт mm mm 1 Part тт mm тт 2 Part тт mm mm 3 The coordinates of the CG are respectively: mm y = mm mm Assume a density of 160 kg/m³ and calculate the total volume and the mass of the part. Volume = mass = kg CheckA differential equation encountered in the vibration of beams is d4ydx4=2D where x = distance measured along the beam; [x]=[L] y = displacement of the beam; [y]=[L] = circular frequency of vibration; []=[T1] = mass of the beam per unit length; []=[ML1] D = bending rigidity of beam; [D]=[FL2] Show that the equation is dimensionally homogeneous. Note that [F]=[MLT2] see Eq. (1.21:).
- Given the folowing mechanical system Using the energy method we are required to mathematically model the system, this achieved through the following steps. Solution 1- How many mechanical elements are in the shown in the image? 2- Fill in the given table for the kinetic and potential energies for the given example? Element Number Kinetic Energy Potential Energy U 4. 6. 3- Write the found kinetic and potential energies stated in the previous table in the following form T+U =C 4- Apply the time derivative to the found equation and find the differential equation Ə(T + U) - 0 at 5. Convert the found differential equation so that it has a unified single parameter using x= re 6- Apply the Laplace transform to the found differential equation, find the Laplace function f(s) knowing that x(0) = 0 & x(0) = 0 7- Apply the inverse Laplace transform to the f(s) equation, this is to find the final solution x(t)Q2) for the given 4-DOF robot shown in Fig.Q2 Assign appropriate frames for the Denavit- Hartenberg - Classical representation. - Fill out the parameters table. - Write an equation in terms of A matrices that shows how "TH can be calculated. 4 #3 0-1 1-2 2-3 3- Fig.Q2 1F1: 0318, F2: 1,894, M: 8,942
- The left side of this equation tells how much energy Q the cylinder gives to the water while it cools. The right side of this equation tells how much energy Q the water and aluminum cup absorb from the cylinder to warm up. Because it is the same energy, they are equal. What is known in this equation? Mcyl 411.7 g, malum 46.5 g, malum+water = 175 g Can you find: mwater =? g Twater = Talum = 20°C (water and cup of room temperature) 90°C, T; = 35°C (hot cylinder and cool "cylinder+cup+water" temperatures) Tcyl kCal Calum = 0.22, Cwater 1 (specific heat of water and aluminum, measured in units kg-°C What are we looking for is Ccul - How we find it? Plug all the numbers into the equation (1), Ccul will be one unknown which you can calculate from the equation. Important, convert all the masses from grams to kilograms! After you find Ccyl, compare it to known value for the copper 0.093(our cylinder is made out of copper). |Ceyl -0.093| % : · 100% 0.093Given: N1 = 10, N2 = 20, N3 = 30, N4 = 40 J1 = 1, J2 = 2, J3 = 3, J4 = 4, J5 = 5, D1 = 1, and D2 = 2 Determine: 01(s)/Tl(s) T₁(1) 0₁ (1) CC N₂ D2, J2 N₁ J₁. Di N3 J3 N4 N₂0 JS J4After the web meeting, submit this document on Canvas Undel ne Meeting Assignment. This is an individual submission. TAE %3D Follow the steps below to express the force F, as a vector using the format: F, = F 1. Write the position vector: TAE = 4 ft 4 ft F = 300 lb 6 ft 6 ft 2. Find the magnitude of the position vector: 6 ft TAE = F = 400 lb 3. Find the unit vector by dividing the position vector by its own magnitude: NAE = 4. Write the force vector: F1 =FinAE =