Wright ME 212 - ME 212 Final Exam

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ME 212, Engineering Mechanics: Statics Final Exam, Fall 20041. Read each problem carefully and make sure you answering the question that is being asked.Closed book, closed notes. Use one 812× 11 formula sheet, front and back. Test books will beprovided. Do all work on the exam pages with the exception of the full length problems.Problems are 20 points each.1. For the frame and loading shown, determine the components of the forces acting on memberABC at B and C.Figure P6.1002. A 10 kg slender rod of length L is attached to collars which can slide freely along the guidesshown. Knowing that the rod is in equilibrium and the β = 25◦, determine a) the angle θthat the rod is in equilibrium and b) the reactions at A and B.Figure P4.901 of 33. For the beam and loading shown, draw the shear and bending moment diagrams, and deter-mine the maximum absolute values of the shear and bending moments. Use either method(or both to check!). Circle your final answers.dVdx= −w, V2− V1= −Zx2x1w(x)dxdMdx= V, M2− M1= −Zx2x1V (x)dxFigure P7.1484. For the area shown below:(a) Determine the location of the centroid of the region(b) Determine Ixxand Iyyfor the region about axes through the point O(c) Determine Ix0x0and Iy0y0for the region about axes through the centroid of the regionFigure P9.482 of 35. Shown is the cross section of an idler roller. Determine its moment of inertia and radius ofgyration with respect to the axis AA0. The density of bronze is 8580 kg/m2; of aluminum,2770 kg/m2; and of neoprene, 1250 kg/m2.Figure p9.130Extra Credit (5%): Find the principle axes for an area with Ixx= 2, Ixy= 1, and Iyy= 2.Write them asˆλ vectors.3 of


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Wright ME 212 - ME 212 Final Exam

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