Two equal pendulums free to rotate about the x-x axis are, Ask an Expert

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Two equal pendulums free to rotate about the x-x axis are coupled together by a rubber hose of torsion al stiffness k Ib . in./rad, as shown in Fig. P5-15.

Determine the natural frequencies for the normal modes of vibration, and describe how these motions may be started.

If 1= 19.3 in., mg = 3.86 Ib, and k = 2.0 Ib . in./rad, determine the beat period for a motion started with θ1 = 0 and θ2 = θ0 ,

Examine carefully the phase of the motion as the amplitude approaches zero.

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