Great, I found the same solution. I coundn't find this problem with google with the forcing term on the other side of the spring and damper as the mass. It is not very hard but it is nice to see the confirmation that my calculation was correct. This solution is quite interesting for many cases where a small mass is connected through a spring and damper to a large moving mass/object that does not 'feel' the small mass. Choosing sinusoids with different frequencies for u and then computing the resultant x or (x-u) is also very interesting. In some cases u is unknown but (x-u) can be determined allowing to find u through inversion.

Great vid. This whole video is tremendously helpful once you realize that most of the l-lo-x-xo-u 's that show up are just expressing the change in length (or rate thereof) of the spring/damper.

Thanks, it's very helpful. Do you know how to calculate the energy stored in the damper ?

can you help me to derive second order of difrential equation to find y''(0), y'''(0) and so on. Thanks for any way.

what does it mean if the mass spring damper is = 0 does that mean the system is in equilibrium and is on level ground??

Thanks. This a quite overlooked concept. I was perplexed when I realised (after doing many classes on dynamics) while solving a problem that why don't I take weight of the body in the equilibrium. This video proved what I needed

Amazing explain than my classroom.....😄🙏

Really helpful work..... Love from India....

how about acceleration plot

can you help me how I plot acceleration vs time graph for the similar problem on matlab

I don't get what u(t) is

Hii sir ..can you help in finding out the dynamic parameters like stiffness, mass of spring , damping of a mass tuned liquid damper ..

y jumped the most important step, really disappointed :(

hello admin. i need to help about one problem. i need graphic and solution.. Please help me. (d^2 Q)/ (dx^2) + (d^2 Q)/(dy^2) +2= 0 Q(-,+ 1;y)=Q(x;-,+1)=0

I like, a little doubt you can ask?

super nice

Why is it in your final FBD the weight of the vehicle is no more to be found.

Why is it in your final FBD the weight of the vehicle is no more to be found.

sir ,kindly tell me which tool or software you use for creating this video.. your video are nice and clearly expressed. thanks sir.

Hi Greg, When you sum all the forces at static equilibrium, can you neglect the damper because the speed is 0 and the damper's equation depends only on that? I'm working on a project right now and trying to model the same device except the mass is downward (as if the ground was the surface of water and the mass was sinking). The wheel would serve as a floater and both would be connected through a spring with damping properties too. Are your differential equations appliable in such case? At static equilibrium, the mass' weight would be compensated by the wheels buoyancy.

methlab

looks like state space representation

what is 'u' at 8:12?

omg!!! it was soo helpful dude! you teach very simple. thank you!!

how can i solve this in fortran 77 ?

I came here to see how hard engineering is. Lmfao, I didn't understand anything.

firstly thank you very much for this helpful tutorial.but i have one question that how can i code this equation with applying euler forward method in matlab?please anybody can give me the solution.

thank you for your helpful video, but i have to write a code of second Order Differential Equations of heat transfer (fourier equation) rho*c* dT/dt= d(k*dT/dx)/dx + d( k* dT/dy)/dy + d( k* dT/dz)/dz + M could you please help me to write the code

Whats the point of using a matlab when you solved it on paper

In my code ,it drifted when it rotates few turns. How do you calibrate it?

HI , -74% coupon to Learn Matlab Udemy course Couponcode: ML25 www.udemy.com/learn-matlab/?couponCode=ML25

hi, thank you this was really clear. however, am i able to use runge kutta for motion equations? M(d2x/dt2)=Fn(sin θ - uCos θ ) M(d2z/dt2)=Fn(cos θ + uSin θ ) - Mg fn/M = 0.866 θ = 30 deg

Can you add a link to the arduino code please

Thank you so much

Thank you! This is really nice and it's a detailled description, that I really appreciate!!

This is just purely terrific! Many thanks!

Nice! You missed a dt "^2" at 11:26 :)

Can you provide the Arduino code?

I wish u had used ode45 or od23 for solving the equation in matlab :(

Hello, first I'd like to thank you for such a good tutorial, but I have a question regarding u. In the video you conveniently look at 0+, so du/dt is 0 anyway. At the moment I'm studying a mass-spring-damper system which would go over a threshold. A friend of mine has already made an equation which gives you the exact location of the axle(shaft) at any time. So I wonder how I could implement this in the steady-state function? For any instance, there is a derivative, but would that not mean that you would have a different functon for x, at any time?

What program did you produce this tutorial in?

Is there a way to modify how large the jump is for the step function? I would like to model a 1000 N force acting on the spring from the ground, as if the "car" went over a bump

hi excellent job. what about the video of the of the arduino software??

I dont understand why there is a (k/m)u instead of (1/m)u

That was an excellent explanation. Thank you very much!

Your explained very well, it helped me to understand. Thank you!

It gets much harder. Sorry, I'm not planning on attacking that one here.

what if I have a time dependence instead of just constant coefficients?

Can this method be generalized to non dynamic systems? If not i think you should indicate that somewhere in the title. I watched the entire 17 minutes and then realized i couldn't use it for my thermal convection problem. Thanks!