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

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

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

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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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[@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.

[@BirnieMac1]

Okay but what if they’re not letting us simplify it without friction anymore
Is it just setting up the equations of motion and taking the sum of forces (friction opposing motion)?

[@pawanpreetsingh8016]

sir how we take force in negitive . i got -0.23 as a answer

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4:14 Why is f negative?

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Explain the chapter system of particles

[@srivallikatkuri8028]

Why is the force negative at the end?

[@adnan46077]

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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[@eriksambong8806]

I would like to ask why the force has a negative sign. Is it because it is stretched?

[@shivkumarverma9124]

It's acting opposite to the direction of the force we apply, suppose a mass is connected to a spring. We apply the force on the right side, the spring tries to pull us backwards to get back to its natural length. That is, to restore equilibrium. So the force is negitive.

[@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.

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[@AV-ts2nm]

Hi Prof Dave could you please explain to me as to why the force on the spring is negative?

[@ProfessorDaveExplains]

i think it's because the force of the spring causes an acceleration in the negative direction? i'm not too sure

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@@ProfessorDaveExplains true opposite to force applied

[@Thesaviorsway]

In which scenario do you know to use 1/2 kx^2 instead of -kx

[@richardlu0928]

I'm also a physics student now so I'm not sure my answer is right or not. I think F=kx is for the force required to stretch the spring, and 1/2kx^2 is for the elastic potential energy which is Ee, one is energy and another is force. Hope this helps!

[@carultch]

@@richardlu0928 Your answer is entirely correct. And you will find that if you take the negative integral of -k*x, you will get 1/2*x^2. Potential energy is the negative integral of force relative to position, when the force is conservative. More generally for the 3-D case, force is the negative gradient of potential energy.

[@sepm7356]

would Fspring always be negative value since by def its Fspring = -kx?. cause on the comprehension, when the spring is stretched, Fspring and spring constant were both negative resulting in positive distance which makes sense since the distance is getting stretched making the distance longer to the right from the equilibrium position.
But if we changed it to the spring being compressed. We can make Fspring positive value right? since +Fspring / -k will result into -x(distance) which makes sense also since the spring is being compressed down making the spring shorter away from the equilibrium to the left?

[@RicardoSanchez-fp9kz]

no, fspring can be positive or negative. lets say the spring is in equilibrium and you define stretching to be positive. when you stretch it 1m then multiply by -k you will get a negative force. thats because even tho youre pulling it with a positive force that equation gives the force the spring is applying to your hand. so youre pulling at +15N (to the right) the force the spring is applying is negative (to the left) because its try to get that block back to equilibrium. Now lets say you compress with a force -15N (to the left) that equation will give you a positive spring force (to the right) because it wants to get that block back into equilibrium.

[@RicardoSanchez-fp9kz]

or a TLDR: define one direction as positive and the other as negative and just plug in the direction. so -k * -x give positive force and -k * x gives negative force. ty very much

[@sepm7356]

thanks

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