810_Dynamics 11ed Manual

810_Dynamics 11ed Manual - Engineering Mechanics - Dynamics...

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Engineering Mechanics - Dynamics Chapter 22 W g r 2 3 2 8 3 π θ '' W 4 r 3 + 0 = '' 4 g 3 r 3 2 8 3 + 0 = ω n 4 g 3 r 3 2 8 3 = τ 2 n = 0.970 s = Problem 22-33 The disk of mass M is pin-connected at its midpoint. Determine the natural period of vibration of the disk if the springs have sufficient tension in them to prevent the cord from slipping on the disk as it oscillates. Hint: Assume that the initial stretch in each spring is δ 0 . This term will cancel out after taking the time derivative of the energy equation. Given: M 7kg = k 600 N m = r 100 mm
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