Translational Mechanical Systems (Solved Example)

Control Systems: Translational Mechanical Systems (Solved Example)
Topics discussed:
1. Solved Example based on the calculation of Transfer Function of a given Mechanical System.
2. Concept of Free Body Diagram.
3. Sign Conventions for the Polarity of forces in Translational Mechanical System.
4. Calculation of Equation of Motion for a given Mechanical System by using the Free Body Diagram.
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[@emreo.9196]

why not added free length to the spring eqn, and the related velocity to the damper eqn?

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[@PunmasterSTP]

Thanks again for making and sharing all of these videos!
Maybe I'm just a stickler, but I have a bit of an issue with how you considered the forces and acceleration. Acceleration is produced by unbalanced forces acting on a body; it isn't the force *of* a body. If anything, "inertia" refers to the quality of an object to resist changes in its motion (i.e. acceleration). Similarly, the sum of the forces acting on a body isn't necessarily zero. If the sum of forces does happen to be zero, then there is no acceleration, so either the object remains at rest or it continues to move with the same velocity. In this example the math works out the same, however I'd recommend just always writing F = ma and summing the forces on the left-hand side of the equation.

[@yhc1244]

yeah i am not sure why he did the summation of the forces that way. the net force on a body does not have to be zero and is not zero on the question he solved.

[@PunmasterSTP]

@@yhc1244 I’ve noticed a few issues with these videos from time to time, but the math always seems to work out. And other than that, I think they’re great. I just always like to point out issues when I see them so that it might add to the discussion…

[@abhishekkumarpatel8455]

actually, he calculated all with respect to body. That is why a pseudo force came into picture.

[@PunmasterSTP]

@@abhishekkumarpatel8455 Yeah there's definitely different ways to work problems. I just learned a different way to do them, so I think it makes me biased. But ultimately if you do well on the JEE and understand the concepts, that should be fine.

[@abhishekkumarpatel8455]

@@PunmasterSTP yeah, same I feel I solved it in the way I learnt during my jee prep time and answer came same

[@user-ih7dq4jf3g]

But this body will be affected by the friction too..since it has no wheels?

[@rashpuppy1594]

What if the spring is on the other side of the mass ?? Please assist

[@Channel_Math_and_Physics]

For anyone's confused with force due to mass and Newton's law seems messed up:
We used ΣF=ma, he simply moved the rewrote the equation:
ΣF=ma
ΣF-ma=0
And this term is force due to interntia/mass is often used in D'Alemberts principles
TL;DR: he simply rewrote the "ma" term on the left hand side and gave it a name

[@ganishk3568]

😅😅 From you only now in this video why we put *Fnet = ma* 😅

[@AkashSharma-qg7ex]

In this lecture, sir has made the free body diagram according to the concept of pseudo forces. u can also write equations using Fnet = ma ... in both ways, u will get same result

[@StandforAjdetray]

Easy 🫢

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