7-18. A pendulum is constructed by attaching a mass m to an extensionless string of length. The upper end of the string is connected to the uppermost point on a ver- tical disk of radius R (R< 1/7) as in Figure 7-B. Obtain the pendulum's equation of motion, and find the frequency of small oscillations. Find the line about which the angular motion extends equally in either direction (i.e., 0₁ = 02). R 81 m FIGURE 7-B Problem 7-18.
7-18. A pendulum is constructed by attaching a mass m to an extensionless string of length. The upper end of the string is connected to the uppermost point on a ver- tical disk of radius R (R< 1/7) as in Figure 7-B. Obtain the pendulum's equation of motion, and find the frequency of small oscillations. Find the line about which the angular motion extends equally in either direction (i.e., 0₁ = 02). R 81 m FIGURE 7-B Problem 7-18.
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Theoretical Mechanics
Topic: Lagrangian and Hamiltonian Dynamics
>Generate the necessary equations to this system.
> Use the equations of motion
>Generate equations for (x,y), (Vx,Vy), V², T
> L = T-U
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For study purposes. Thank you!
Transcribed Image Text:7-18. A pendulum is constructed by attaching a mass m to an extensionless string of
length. The upper end of the string is connected to the uppermost point on a ver-
tical disk of radius R (R < 1/7) as in Figure 7-B. Obtain the pendulum's equation
of motion, and find the frequency of small oscillations. Find the line about which
the angular motion extends equally in either direction (i.e., 0₁ = 0₂).
R
81
m
FIGURE 7-B Problem 7-18.
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