Midterm Exam Q1: Find the frequency of the system shown below, knowing that m= 20kg, l=4m, and k=100 N/m. Uniform rigid bar, mass m Q: Derive the expression for frequency of oscillation
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Find the equation of motion of the uniform rigid bar $O A$ of length $l$ and mass $m$ shown in Fig. $2.104 .$ Also find its natural frequency.
Assume that the bar is rigid with a mass moment of inertia Jo = 6 kg m^2 and the mass m1 = 10 kg. Use the following values for the springs: k1 = 20000 N/m, k2 = 25000 N/m, k3 = 30000 N/m. Also, the torque constant kt = 3500 Nm/rad and the length of the bar L = 4m. Find the natural frequency of the system.
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