Simple Harmonic Motion: Hooke's Law

Springs are neat! From slinkies to pinball, they bring us much joy, and now they will bring you even more joy, as they help you understand simple harmonic motion and Hooke's law. Who doesn't love a good oscillation now and again? Check it out.
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thank you for this video just learned that the force is always negative because its acting in the opposite direction

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I have cleared my all concepts

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Thanks Dave. Your video reminds me of Baywatch. There is a lot of harmonic motion seen when people run on the beach.

[@shanestewart1252]

All jokes aside Dave. I was a inspector for a railroad and there is something called a harmonic unbalance it say. The difference between cross level between rails in 7 consecutive joints can not exceed . If I remember correctly it is 1 and 5/8 of a inch and if it does the track must be slowed to 10 mph. . Rail length are about 32 feet so a joint are staggered every 16 feet . If not a train car will rock off a track. I assume it is similar to a tsunami in the ocean.. why would that cause a harmonic unbalance.?

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[@danielalexanderreyespineda1131]

Hi!! teacher, I will like to know if we compute the work that will do the spring on that object (which is applying force on the spring) is it going to be -1.8 J? right? I just want to learn :c

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Explain relationship between newton's third law of motion and reflection of light.
Or
Differentiate , in your next coming video
Plz plz plz plz
I hope you are honest professor .

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This video reminds me of my late friend Elliot 😢, the action of the spring reminds me how he used to caress my skin back and forward 🫶🤞

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4:14 Why is f negative?

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[@Ranbir.Bhardwaj]

At 2:22 you said that force exerted by the spring is always opposite the motion
But while coming towards centre, force and motion are in same direction.
Shouldn't it be like ' force is opposite to the direction in which spring is streched or compressed' ??

[@carultch]

I'm sure that's ultimately what he meant. The spring force is a restoring force, which is proportional to and opposite the deformation from its neutral unstressed position. The spring force doesn't "know" what the velocity or acceleration is of the mass. Viscous drag would be proportional and opposite the velocity, while the apparent "inertial force" (D'Alembert Force) of the mass is proportional to and opposite the acceleration.

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3:28 What about the formula for kinetic energy of the spring?

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[@jhelseaamarixe4475]

4:10 is the force always negative like the constant? or if we only pull it then that's when it's negative?

[@blinkbubs3994]

always negative

[@mahboobraju]

Look the equation F=-kx will automatically give the direction of the force for eg. When the particle is somewhere between mean position and positive extreme then x will be positive and hence the force will act towards the negative x axis.....as the acc is towards the -ve x axis and vice versa

[@carultch]

It is negative because it is a restoring force that returns the spring back to its unstressed position. Force is opposite the displacement from the rest position of the spring.
It isn't always linear with the displacement, because eventually if you stretch a spring far enough, you'll take it past the point of no return, where it will permanently deform. Force vs distance is not a linear function once you cause the metal to permanently deform.

[@oorody4297]

4:11 why we put (-)for (f)

[@ceilinaomair2397]

negative sign indicates force is in opposite direction

[@drgermankills7963]

The negative sign in the equation is simply indicating that the force is opposite of the direction of the spring displacement.

[@anuththarachanaki7969]

Sir, How doea a restoring force occur when an object osillates?

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What is the displacement of the object in SHM when the kinetic and potential energies are equal?

[@carultch]

Amplitude/sqrt(2) from the equilibrium position.

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[@ProfessorDaveExplains]

california!