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Steps to Solve Problems on Analogous Systems



Step 1: Identify all the displacements due to the applied force. The elements spring and friction between two moving surfaces cause change in displacement.

Step 2 : Draw the equivalent mechanical system based on node basis. The elements under same displacement will get connected in parallel under the node. Each displacement is represented by separate node. Element causing change in displacement (either friction or spring) is always between the two nodes.

Step 3 : Write the equilibrium equations. At each node algebraic sum of all the forces acting at the node is zero.

Step 4 : In F-V analogy, use following replacements and rewrite equations,


Step 5 : Simulate the equations using loop method. Number of displacements equal to number of loop currents. 

Step 6 : In F-I analogy, use following replacements and rewrite equations, 


Step 7 : Simulate the equations using node basis. Number of displacements equal to number of node voltages. Infact the system will be exactly same as equivalent mechanical system obtained in step 2 with appropriate replacements.

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