Ex 1. Get the motion equations for the double pendulum shown in the Fig.14 for when unknowns are X1 and X2. Consider that the system suffers small angular variations. Calculate the natural frequencies and vibrate modes. Given m1 = m2 = m and L1 = L2 = L: m, m2 Fig. 14: Illustration of the double pendulum

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Ex 1. Get the motion equations for the double pendulum shown in the Fig.14
for when unknowns are X1 and X2. Consider that the system suffers small
angular variations. Calculate the natural frequencies and vibrate modes. Given
m1 = m2 = m and L1 = L2 = L:
s u un
L
m2
Fig. 14: Illustration of the double pendulum
Ex 2. Considering the previous exercise, derive the equations of movement
using coordinated 0, and 02. Next, get the natural frequencies and ways to
vibrate.
Transcribed Image Text:Ex 1. Get the motion equations for the double pendulum shown in the Fig.14 for when unknowns are X1 and X2. Consider that the system suffers small angular variations. Calculate the natural frequencies and vibrate modes. Given m1 = m2 = m and L1 = L2 = L: s u un L m2 Fig. 14: Illustration of the double pendulum Ex 2. Considering the previous exercise, derive the equations of movement using coordinated 0, and 02. Next, get the natural frequencies and ways to vibrate.
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