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Final Exam Summer 07

# Final Exam Summer 07 - (c Find the bending moment M at x =...

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AEM 201: Final Exam NAME:___________________________________ CWID:_______________________ 1. (20 points) The 50-kg block rests on the horizontal surface, and a force P = 200 N, whose direction can be varied, is applied to the block. (a) If the block begins to slip when θ is reduced to 30º, calculate the static coefficient of friction μ s between the block and the surface. (b) If P is applied with θ = 45º, calculate the friction force F. 1

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2. (20 points) Calculate the moment of inertia and radius of gyration about the centroidal x-axis for the shaded area shown. 3

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3. (10 points) If it is known that the center pin A supports ½ of the vertical loading shown, determine the force in truss member BF. State also whether BF is in compression or tension. The notation “6 panels at 12 m” means, for example, that CD = 12 m. 5

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4. (20 points) (a) Draw the shear and bending moment diagrams for the beam. (b) Determine the maximum absolute values of the shear and bending moment and their respective locations relative to point A.

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Unformatted text preview: (c) Find the bending moment M at x = 3.5 m, i.e., 0.5 m from the left end. 7 8 5. (20 points) The welded tubular structure is secured to the horizontal x-y plane by a ball-and-socket joint at A and receives support from the loose-fitting ring at B (B y = 0). Under the action of the 2-kN load in the y-direction, rotation about a line from A to B is prevented by the cable CD ( this is a big hint! ), where point D lies in the x-y plane, and the structure is stable in the position shown. Neglect the weight of the structure compared with the applied load and determine the tension T in the cable, the reaction components at the ring B, and the reaction components at A. 9 10 6. (10 points) Determine the resultant force vector R of the three forces and two couples shown. Find the coordinate x of the point on the x-axis through which R passes. Find the coordinate y on the y-axis through which R passes. Determine the equation for the line of action of R. 11 12 13 14...
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