Modelling of mechanical system in control system problems

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Draw free body diagram of the system
Free body diagram is obtained by drawing each masses separately and then mark all the forces acting on that body
Opposing forces are in opposite direction of applied force
Applied force and displacement are in same direction
For each free body diagram write one differential equation by equating the sum of applied forces to the sum of opposing forces
Take Laplace transform to convert differential equation into algebraic equation
Then rearrange the S- domain equation to eliminate unwanted variables and then obtain the transfer function which is the ratio of output by input.

[greekgaming]

hey thanks buddy...l great explanation failed 4 times this subject but got confidence
i appreciate ur work

[NaveenReddy-zkof]

TO PASS IN JNTU UR VIDEOS IS MANDATORY ❤

[vamsidwibhashyam]

Superb explanation sir.. Thank you so much

[ViratKohli_]

Sir want immediately reply, transfer function is output/input na sir. Then in problem it is f(S)/X1(S).

[jayanthis]

Very good morning sir.I am very glad to see your videos. Sir a kind help.I beg up please recommend the text book in which these problems are available. Many of us are suffering without good books.Please suggest the book sir.Thank you

[navaneethdesai]

Sir why do you treat F(s) as constant, while solving the equations? It's varying with time with frequency [F(s)]
If it is a variable then there will be three variables right sir?

[vikramgogoi]

What do you mean by opposing force due to mass? Do you mean friction?

[anushambhat]

Thanku so much sir..that was very helpful

[ravi-]

Thanks Bhai appreciate your work I like it

[bobosentsima]

would please explain to me why you cross-multiplied but you ddnt bring[BS+K]^2 to the denominator?
and even so we would be having the same value at the numerator and denominator therefore they'd cancel each other out

[navaneethdesai]

Can we solve the equations using Cramer's?