The bar shown in Figure Q1(a) has a mass of 15 kg and is subjected to a couple moment of M = 70 Nm and a force P = spring has unstretched length of 0.4 m and remain in the vertical position due to roller guide at B. Note; Use your last three digit of matrix number to determine the value of force P as (200M) N applied to the end of the bar. The follows; Example of matrix number, CD190234 M = (2+3+4) = 9

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Based on Problem 5-40 from the textbook. Determine the stiffness k of each spring so that the applied force F cause the bar to tip = 15 degrees when the force is applied. Originally the bar is horizontal and the springs are unstretched. Neglect the weight of the bar. F=30N b=1.7m a=0.8 m Unique Values for Each Student: C F a www B k b www

Problem 7. We have a line of two equal masses m connected by three springs with spring constants c₁ = 1, c₂ = 1, and c3 = S. Spring 1 is fixed at the top and spring 3 at the bottom, so xo = x3 = 0. (a) Find the stiffness matrix K in the equation Kx = f for the mass displacements. (b) Solve for the displacements x₁ and x2. (c) If the third spring constant S becomes very large or very small (S→∞ and S→ 0) what are the limiting values of the displacements x₁ and .x₂? (d) If the third spring constant S becomes very large or very small (S→∞ and S→ 0) what are the limiting values of the spring forces y1, y2, and y3? 91 www m 3-WW www C₁ X₁ "Xo = 0 C2₂ X2 C3 X3 = 0