Question: Problem 1 : Derive the differential equations governing the motion of the system shown below using Newton's laws and the indicated generalized coordinates. Write the

Problem

1

: Derive the differential equations governing the motion of the system shown below using Newton's laws and the indicated generalized coordinates. Write the equations in matrix form.

\ (

_{

} \)

and

\ (

_{

} \)

are the absolute displacements of center of the disk and the cart, respectively.

Problem 1 : Derive the differential equations

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