Theoretical MechanicsTopic: 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 ---For study purposes. Thank you! 7-18. A pendulum is constructed by attaching a mass m to an extensionless string oflength. 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 equationof motion, and find the frequency of small oscillations. Find the line about whichthe angular motion extends equally in either direction (i.e., 0₁ = 0₂).R81mFIGURE 7-B Problem 7-18.

In generalized form, kinetic energy is expressed as,Here, m is mass of body and term in bracket is…

Answered: 7-18. A pendulum is constructed by…

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