7-9. A disk of mass M and radius R rolls without slipping down a plane inclined from the horizontal by an angle a. The disk has a short weightless axle of negligible ra- dius. From this axis is suspended a simple pendulum of length 1< Rand whose bob has a mass m. Consider that the motion of the pendulum takes place in the plane of the disk, and find Lagrange's equations for the system.
7-9. A disk of mass M and radius R rolls without slipping down a plane inclined from the horizontal by an angle a. The disk has a short weightless axle of negligible ra- dius. From this axis is suspended a simple pendulum of length 1< Rand whose bob has a mass m. Consider that the motion of the pendulum takes place in the plane of the disk, and find Lagrange's equations for the system.
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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:7-9.
A disk of mass M and radius R rolls without slipping down a plane inclined from
the horizontal by an angle a. The disk has a short weightless axle of negligible ra-
dius. From this axis is suspended a simple pendulum of length 1< Rand whose bob
has a mass m. Consider that the motion of the pendulum takes place in the plane of
the disk, and find Lagrange's equations for the system.
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