Mass on a spring: Hooke's law, friction, forcing | Lecture 26 | Differential Equations for Engineers

How to write a differential equation to model a mass on a spring using Hooke's law, a friction coefficient and an external force.

[wandaamyra]

as a social science student who just jumped to mathematics and physics fields, this is so easy to understand. thank you, you deserve more viewers!

[akusen]

F=uN getting thrown out the window is an accurate representation

[ikraahmed]

These videos are awfully well made. Thanks Jeffrey Chasnov!

[charli_speed]

You are better at writing reversed than I am at writing normally ... :)

[clo]

(1) Why is external force sinusoidal? Since there is no phase shift, I assume the omega in the external force's cosine is same as the omega of the harmonic system? Otherwise the system would not be "simple"
(2) Why is friction modeled as a function of velocity? I thought { dynamic-friction = coefficient*normal-force } and friction is a function of mass...

[neinnine]

.... is no one gonna mention how he is probably writing in mirrored? or was it mirrored in post production? prob the latter

[mohfa]

Hello and thank you sir for your really great educational lessons

I have question please :
When you write F=ma, are you projecting the forces along the +ve axis?, because in this case we might have two different differential equations if we assume the acceleration is in the direction of the -ve x-axis ??, or are you writing F=ma in the general vector forms without projretion on any x-axis direction?

Thank you in advance

[adreanalva]

This is very helpful. I also couldn’t help but notice you looks like a young Jonathan banks.

[surendrakverma]

Very good lecture Sir. Thanks and Regards 🙏🙏🙏😊😊

[emilkiholm]

Can you explain what exactly c is in this video? I'm having trouble seeing how c*dx/dt equals a force as inserting simply the frictional constant results in a velocity, but also when inserting c as the frictional force it results in a power.

[fazlayrabbi]

can you show gravity as a disturbance of the system? what would be the differential equation?

[luqkiiim]

sorry but you don't explain very well why things are like they are