Engineering Mechanics - DynamicsChapter 22Wg⎛⎝⎞⎠r23283π−⎛⎝⎞⎠θ''W4r3⎛⎝⎞⎠+0=''4g3r3283−⎛⎝⎞⎠+0=ωn4g3r3283−⎛⎝⎞⎠=τ2n=0.970 s=Problem 22-33The disk of mass Mis pin-connected at its midpoint. Determine the natural period of vibrationof the disk if the springs have sufficient tension in them to prevent the cord from slipping onthe disk as it oscillates. Hint:Assume that the initial stretch in each spring is δ0. This term willcancel out after taking the time derivative of the energy equation.Given:M7kg=k600Nm=r100 mm
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