Calculate the response of bar of length 1 = 1 m, E = 2.6 × 10¹⁰N/m², and p = 8.5 × 10³ kg/m³. Assume modal damping of 0.
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Calculate the response of bar of length 1 = 1 m, E = 2.6 × 10¹⁰N/m², and p = 8.5 × 10³ kg/m³. Assume modal damping of 0.
Calculate the response of bar of length 1 = 1 m, E = 2.6 × 10¹⁰N/m², and p = 8.5 × 10³ kg/m³. Assume modal damping of 0.1 in each mode, initial conditions of w(x,0) = 2(x/l) cm, and an initial velocity of w₁(x,0) = 0. Plot the response using the first three modes at x = 1/2, 1/4, and 31/4. How many modes are needed to represent accurately the response at the point x = 1/2?