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The University of Texas at Austin EM 306 – Statics Exam #2, Spring 2010 Time: 7:00 – 9:00 pm, Tuesday, April 20 Place: WEL 2.246 Name: EID: Unique number (circle one): 13725 13730 13735 13740 13745 13750 Closed books, notes, and homework. 1. See figure below. A beam AB is simply supported and subjected to a concentrated force P at the mid-span and a distributed load of intensity q over one-half of the span. Neglect the weight of the beam. (a) Find the reactions at A and B. (10) (b) Find the internal shear force and bending moment at a section of distance 20 inch to the left of B. (15) (c) Draw the shear force and bending moment diagrams for the entire beam AB. Mark the maximum bending moment and its location. (10) 2. Determine the range of mass m for which the 100-kg block is in static equilibrium. Neglect the mass of the pulley. (a) Assume all wheels and pulleys have negligible friction. (15) (b) Determine the range when the coefficient of static friction between the belt and the pulleys is 0.1. Assume that both pulleys do not rotate. (10) Hint: For part b, use the formula for belt friction: ܶଶ ൌ ܶଵ ݁ ఓఉ . 3. See figure below. The 200-kg slider A is held in place on the smooth vertical bar by the cable AB. (a) Find the magnitude and direction of the force in the cable. (15) (b) Find the magnitude and direction of the contact force between the slider and the vertical bar. (10) (c) Find the moment about O due to the force in the cable exerted on the hook at B. (15) O