Derive the equations of motion of the double pendulum shown in Fig. 5.25, using the coordinates (theta_{1})

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Derive the equations of motion of the double pendulum shown in Fig. 5.25, using the coordinates $\theta_{1}$ and $\theta_{2}$. Also find the natural frequencies and mode shapes of the system for $m_{1}=m_{2}=m$ and $l_{1}=l_{2}=l$.

Figure 5.25:-

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Mechanical Vibrations

ISBN: 9780134361925

6th Edition

Authors: Singiresu S Rao

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Question Posted: May 02, 2024 01:01 AM

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Derive the equations of motion of the double pendulum shown in Fig. 5.25, using the coordinates (theta_{1})

Question:

01 41 T 1 X1 m1 02 12 Y2 -x2- m2) FIGURE 5.25 Double pendulum.

Step by Step Answer:

Mechanical Vibrations

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