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The University of Texas at Austin EM 306 – Statics Exam #1, Spring 2010 Time: 7:00 – 9:00 pm, Tuesday, March 2 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. The bar is 1 m long, and its weight W = 2 kN acts at its midpoint. The distance b = 0.75 m, and the angle α = 30º at the equilibrium. The spring is unstretched when the bar is vertical. (a) Draw a free body diagram for the bar (5); (b) Find the tension in the spring (10); (c) Find the spring constant k (10); (d) Find the reactions at the pin support A (10). 2. See figure below. Ignore the weight and radius of the pulleys. Find the forces in members CB, CG, and FG. (30) 3. See figure below for a bolt cutter. (a) Draw free body diagrams for the four parts (separately). (10) (b) Find the force in member CD (10) (c) Find the force exerted on the bolt. (15)