4. Analogous system: Obtain the electrical analogous of the following mechanical system using force-voltage analogy. Assume...

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4. Analogous system: Obtain the electrical analogous of the following mechanical system using "force-voltage analogy." Assume x1 and x2 are displacement from the equilibrium point of the systems, meaning the system is at rest due to gravity and no need to consider the effect of gravity. Proposed approach: a) Derive the dynamic equations, b) Using the following force-voltage analogy table, replace mech. variables with their electrical counterparts. c) From the resulted equations, derive the topology of the electrical circuit. (I will show you in the class how to approach this part. So, this part will not be graded.) Electrical Quantity Voltage, e Current, i Resistance, R Key Concept: Analogous Quantities Mechanical Analog I (Force-Current) Capacitance, C Inductance, L Transformer, N1:N2 Velocity, v Force, f Lubricity, 1/B (Inverse friction) Mass, M Compliance, 1/K (Inverse spring constant) Lever, L1:L2 Mechanical Analog II (Force Voltage) Force, f Velocity, v Friction, B Compliance, 1/K (Inverse spring constant) Mass, M Lever, L1:L2 5 m₁ C X1 35 4. Analogous system: Obtain the electrical analogous of the following mechanical system using "force-voltage analogy." Assume x1 and x2 are displacement from the equilibrium point of the systems, meaning the system is at rest due to gravity and no need to consider the effect of gravity. Proposed approach: a) Derive the dynamic equations, b) Using the following force-voltage analogy table, replace mech. variables with their electrical counterparts. c) From the resulted equations, derive the topology of the electrical circuit (I will show you in the class how to approach this part. So, this part will not be graded.) Electrical Quantity Voltage, e Current, i Resistance, R Key Concept: Analogous Quantities Mechanical Analog I (Force-Current) Capacitance, C Inductance, L Transformer, N1:N2 Velocity, v Force, f Lubricity, 1/B (Inverse friction) Mass, M Compliance, 1/K (Inverse spring constant) Lever, L1:L2 Mechanical Analog II (Force Voltage) Force, f Velocity, v Friction, B Compliance, 1/K (Inverse spring constant) Mass, M Lever, L1:L2 5 m₁ C X1 35 4. Analogous system: Obtain the electrical analogous of the following mechanical system using "force-voltage analogy." Assume x1 and x2 are displacement from the equilibrium point of the systems, meaning the system is at rest due to gravity and no need to consider the effect of gravity. Proposed approach: a) Derive the dynamic equations, b) Using the following force-voltage analogy table, replace mech. variables with their electrical counterparts. c) From the resulted equations, derive the topology of the electrical circuit. (I will show you in the class how to approach this part. So, this part will not be graded.) Electrical Quantity Voltage, e Current, i Resistance, R Key Concept: Analogous Quantities Mechanical Analog I (Force-Current) Capacitance, C Inductance, L Transformer, N1:N2 Velocity, v Force, f Lubricity, 1/B (Inverse friction) Mass, M Compliance, 1/K (Inverse spring constant) Lever, L1:L2 Mechanical Analog II (Force Voltage) Force, f Velocity, v Friction, B Compliance, 1/K (Inverse spring constant) Mass, M Lever, L1:L2 5 m₁ C X1 35 4. Analogous system: Obtain the electrical analogous of the following mechanical system using "force-voltage analogy." Assume x1 and x2 are displacement from the equilibrium point of the systems, meaning the system is at rest due to gravity and no need to consider the effect of gravity. Proposed approach: a) Derive the dynamic equations, b) Using the following force-voltage analogy table, replace mech. variables with their electrical counterparts. c) From the resulted equations, derive the topology of the electrical circuit. (I will show you in the class how to approach this part. So, this part will not be graded.) Electrical Quantity Voltage, e Current, i Resistance, R Key Concept: Analogous Quantities Mechanical Analog I (Force-Current) Capacitance, C Inductance, L Transformer, N1:N2 Velocity, v Force, f Lubricity, 1/B (Inverse friction) Mass, M Compliance, 1/K (Inverse spring constant) Lever, L1:L2 Mechanical Analog II (Force Voltage) Force, f Velocity, v Friction, B Compliance, 1/K (Inverse spring constant) Mass, M Lever, L1:L2 5 m₁ C X1 35 4. Analogous system: Obtain the electrical analogous of the following mechanical system using "force-voltage analogy." Assume x1 and x2 are displacement from the equilibrium point of the systems, meaning the system is at rest due to gravity and no need to consider the effect of gravity. Proposed approach: a) Derive the dynamic equations, b) Using the following force-voltage analogy table, replace mech. variables with their electrical counterparts. c) From the resulted equations, derive the topology of the electrical circuit (I will show you in the class how to approach this part. So, this part will not be graded.) Electrical Quantity Voltage, e Current, i Resistance, R Key Concept: Analogous Quantities Mechanical Analog I (Force-Current) Capacitance, C Inductance, L Transformer, N1:N2 Velocity, v Force, f Lubricity, 1/B (Inverse friction) Mass, M Compliance, 1/K (Inverse spring constant) Lever, L1:L2 Mechanical Analog II (Force Voltage) Force, f Velocity, v Friction, B Compliance, 1/K (Inverse spring constant) Mass, M Lever, L1:L2 5 m₁ C X1 35 4. Analogous system: Obtain the electrical analogous of the following mechanical system using "force-voltage analogy." Assume x1 and x2 are displacement from the equilibrium point of the systems, meaning the system is at rest due to gravity and no need to consider the effect of gravity. Proposed approach: a) Derive the dynamic equations, b) Using the following force-voltage analogy table, replace mech. variables with their electrical counterparts. c) From the resulted equations, derive the topology of the electrical circuit. (I will show you in the class how to approach this part. So, this part will not be graded.) Electrical Quantity Voltage, e Current, i Resistance, R Key Concept: Analogous Quantities Mechanical Analog I (Force-Current) Capacitance, C Inductance, L Transformer, N1:N2 Velocity, v Force, f Lubricity, 1/B (Inverse friction) Mass, M Compliance, 1/K (Inverse spring constant) Lever, L1:L2 Mechanical Analog II (Force Voltage) Force, f Velocity, v Friction, B Compliance, 1/K (Inverse spring constant) Mass, M Lever, L1:L2 5 m₁ C X1 35

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a To derive the dynamic equations for the mechanical system we need to analyze the forces acting on ... View the full answer