1.a Propose a 2D dynamic system, with a total number of DoF of 3, which contains nz rigid bodies n2 point-masses n3 linear springs n4 linear dampers ng torsional spring ng torsional dampers n, external forces Numbers n,to n, have been generated randomly and are given in file 'A1T1_Numbers.pdf' in the Assessment folder. Each student has a unique set of numbers. Hence, it is impossible that two students propose the same dynamic system. You can use light bars, fixed supports, rollers, hinges and weld/glue to connect and support the components. Notes: 1. It is up to you how to arrange the components. In the next part you are asked to derive the equations of motions. Hence, it is strongly recommended that you take this into account while proposing your system. Be creative and report what you have considered to make the solution of Part b easier. 2. All springs and dampers must be active and contribute to the dynamics of the system. Figure below shows an unacceptable arrangement as the linear spring k, is inactive and does not have any contribution to the dynamic of the system. , Task 1.b [15%] Use Lagrange method and derive the equations of motions for your proposed dynamic system in Task 1.a.