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# tut 4 SE - 6 Given the rotational system shown below find...

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EET309: Mathematical Modeling Tutorial 4 TRANSLATIONAL MECHANICAL SYSTEM 1. Find the equation of motion for the system shown below. Then find the transfer function, G(s)=X 2 (s)/F(s) 2. Find the equation of motion for the system shown below. Then find the transfer function, G(s)=X 3 (s)/F(s) ROTATIONAL MECHANICAL SYSTEM WITH GEARS 3. Find the transfer function, G(s)= θ 4 (s)/T(s) for the rotational system shown below. 10kg f(t) 2N/m 5Ns/m 2Ns/m x 2 (t) M 1 =1kg f(t) k=2N/m x 3 (t) M 2 =1kg fv 4 =1Ns/m fv 3 =1Ns/m fv 2 =1Ns/m fv 1 =1Ns/m x 1 (t) x 2 (t) T(t) N 2 =100 25Nms/ rad θ 4 (t) θ 1 (t) θ 2 (t) θ 3 (t) 1Nm/rad N 1 =25 N 4 =100 N 3 =20

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EET309: Mathematical Modeling Tutorial 4 4. For the rotational system shown below, find the transfer function, G(s)= θ L (s)/T(s). 5. For the rotational system shown below, write the equations of motion from which the transfer function, G(s)= θ 1 (s)/T(s) can be found.
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Unformatted text preview: 6. Given the rotational system shown below, find the transfer function given by, G(s)= 6 (s)/ 1 (s). T(t) N 2 =100 0.04Nms/rad L (t) 1Nm/rad N 4 =10 N 3 =50 1kgm 2 1Nms/rad N 1 =10 T(t) N 1 1 (t) J a J 1 N 2 J 2 K D N 3 J 3 N 4 J 4 J L D L T(t) N 1 1 (t) J 1 , D N 2 K 1 N 4 J 5 D N 3 J 3 J 2 , D K 2 J 4 , D J 6 6 (t) D EET309: Mathematical Modeling Tutorial 4 RLC CIRCUITS 7. Write the mesh and nodal equations for the network below: 8. Find the transfer function, G(s)=V o (s)/ V i (s), for each of the networks shown below. Solve using mesh analysis. a. b. 1 1 2 4 2H 3H 1/5F v(t) v o (t) 2H 1/2F 1 3H v i (t) v o (t) 1H 1 1F 1H 1H 1F v i (t) v o (t)...
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