mowwwO 2m The two pendulums are connected by a spring which is undeformed when the pendulums are vertical. The equations of motion of the system can be shown to be kL(0, -0) - mg@; = mLö, -kL(@2 - 01) - 2mge = 2mlöz where e, and e 2 are the angular displacements and k is the spring stiffness. Determine the circular frequencies of vibration and the relative amplitudes of the angular displacements Use mE 0 25 kg k= 20 N/m L=075 m and g = a 80665 m /s2
mowwwO 2m The two pendulums are connected by a spring which is undeformed when the pendulums are vertical. The equations of motion of the system can be shown to be kL(0, -0) - mg@; = mLö, -kL(@2 - 01) - 2mge = 2mlöz where e, and e 2 are the angular displacements and k is the spring stiffness. Determine the circular frequencies of vibration and the relative amplitudes of the angular displacements Use mE 0 25 kg k= 20 N/m L=075 m and g = a 80665 m /s2
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The two pendulums are connected by 2 spring which is undeformed when the pendulums are vertical, The equations of motion of the system can be shown to be KLOs = 01) = mgoy = mLdy e iy where & and 8 » are the angular displacements and k is the spring stiffness. Determine the circular frequencies of vibration and the relative amplitudes of the angular displacements. Use m=0.25 kg, k =20 N/m, L = 0.75 m and g = 9.80665 m/s2
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