Physics 16 Simple Harmonic Motion (6 of 19) Trig Equations w/ Phase Angle

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8 жыл бұрын

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In this video I will explain how the phase angle affect the trig equations of the simple harmonic motion.
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• Physics 16 Simple Har...

Пікірлер: 38

@paramidhananjani1450 2 жыл бұрын

really helpful even after 6 years.......thank you so much

@dakotamercer1679 4 жыл бұрын

So far I have watched your videos on torque and now Simple harmonic motion. Thankyou so, I am able to follow your lessons extremely well, especially since last semester and this semester are online (corona virus).

@AnnSnowfrost 7 жыл бұрын

Very helpful. Thank you so much! :D

@bonginkosizweni7239 6 жыл бұрын

keep on doing the best job , you are amazing big brue

@rajputjanardansingh165 8 жыл бұрын

awesome, thanks for the great work

@danlurny4129 8 жыл бұрын

good lesson for pupils) that remainds me the school time

@vedangisekra9399 3 жыл бұрын

umm, how come in the 3rd part ...X= a cos(wt+pi/2) can lead to that graph... I mean we just have to add pi/2 angle so if in 2nd case we are decreasing the angle by pi/2 it comes to origin...but in 3rd case??? I am a bit confused..please explain

@sriyashpoddar2717 7 жыл бұрын

can you elaborate on the significance of phase angle such as comparison of two simple harmonic motions having the same/different phase angle and/ or frequency and amplitude

@MichelvanBiezen 7 жыл бұрын

Usually the phase angle is used to denote the initial condition at time = 0. If the object is at maximum amplitude (in the positive direction) then we use the cos function (cos wt), but if the object is an eight of a cycle past that point at t = 0, we use the function cos(wt + pi/4)

@dianaurian1303 3 жыл бұрын

Amazing! Thank you!!

@MichelvanBiezen 3 жыл бұрын

You're so welcome!

@haiderh2052 6 ай бұрын

I tried to solve a Duffing eq. of ẍ + x^3 = f and for the input i used F*sin(wt+phi) , then I got zero phase angle , how can I interpret this please ? i mean why the phase is zero in this case ? is it because there was no damping? thanks

@MichelvanBiezen 6 ай бұрын

The phase angle is simply a result of the initial conditions and not an outflow of the finding the solution. It only depends on where the object is at t = 0

@abdulmohaimenalgamoudi3845 3 жыл бұрын

The best teacher ever

@MichelvanBiezen 3 жыл бұрын

Thank You!

@rjaph842 2 жыл бұрын

@Michel Van Biezen so the phase angle does not in any way tells the angular distance the object has move? Its only purpose is to fix the initial condition i.e. position of the object at t=o?

@MichelvanBiezen 2 жыл бұрын

The phase angle is indeed there to indicate at what portion (phase) of the oscillation the object is at the time where t = 0. But then given another time, we can calculate its position and you will have to include the phase angle to obtain the correct answer.

@rjaph842 2 жыл бұрын

@@MichelvanBiezen I can't thank you enough

@izanazir7088 Ай бұрын

Why is it lagging in (wt-phi), it says in my book

@dhruvitmodi5824 8 жыл бұрын

Hi, That was a very good explanation of phase angle. I have a question. How to decide if we have x(t)= A cos (wt-pi/2) it moves the equation to the right and if we have x(t)= A cos (wt+pi/2) it moves equation to the left? Could you please elaborate on that?

@MichelvanBiezen 8 жыл бұрын

The best way to find out for yourself is to plug in some values for t and see how x changes. Take a look at this video to give you a better idea how that works. PreCalculus 3: Graphing Polynomial & Rational Fcts (1 of 29) Parabola - General Graphing Rules kzfaq.info/get/bejne/n5h6gJCZxNnSqIU.html

@dhruvitmodi5824 8 жыл бұрын

Thank you so much for your prompt reply. I will look in to video suggested by you. Your videos are really easy to understand and clears basic concepts. Do you have any videos on vibration topics like free oscilation, damped free oscilation, forced oscilation, forced oscillation, resonance, modal analysis? Please let me know.

@atulr3184 5 жыл бұрын

I just want to know that how can we use sin and cos in springs? Where do they form angles?

@MichelvanBiezen 5 жыл бұрын

We use cosine and sine for much more than just finding angles. Any periodic oscillating function such as current behavior in circuits and yes, objects oscillating at the end of a spring can be described using sine and cosine.

@irinabursill6979 3 ай бұрын

Thank you

@MichelvanBiezen 3 ай бұрын

You are welcome.

@agnesooi7917 3 жыл бұрын

Hi sir, I don't understand why the x(t)=A cos (wt-pi/2) need to put negative sign? Also the x(t)=A cos (wt+pi/2) why need to put positive sign? Thank you:)

@MichelvanBiezen 3 жыл бұрын

Just like with algebra y = (x - 2)^2 moves the graph y = x^2 to the right 2 units and y = (x + 2)^2 moves the graph y = x^2 to the left 2 units. In trigonometry (wt-pi/2) moves the graph to the right 1/4 of a cycle (pi/2 = 90 degrees = 1/4 of a circle)

@agnesooi7917 3 жыл бұрын

Thank you sir! Your teaching is very good and help me understand very clearly👍💪

@muthuselvanchandran8101 8 жыл бұрын

can u tell me the derivation of x=acos(wt)

@MichelvanBiezen 8 жыл бұрын

Assuming that a is a constant, then the derivative of a cos(wt) with respect to t = -aw sin(wt)

@mido9545 7 жыл бұрын

derivative of x will the function of velocity v(x)=-wAsin(wt) and second derivative of x will be acceleration a(x) = -w^2Acos(wt)

@farahhafez8482 Жыл бұрын

TOP G

@MichelvanBiezen Жыл бұрын

Thank you. 🙂

@notSavant 7 жыл бұрын

I find this part of physics specially confusing because in calculus the period of a trigonometric function is the length of the interval that repeats itself through out the function domain. In physics however the period is the time that it takes to complete one oscillation. So when you say that pi/2 is a quarter of the period it gets confusing.

@vedangisekra9399 3 жыл бұрын

y2 = A sin (2πx/L) sin2ωt ...how to manipulate this shm equation to get a single sin or cos function ??? actually, the question is: The ends of stretched wire of length L are fixed at x = 0 and x = L. In one experiment, the displacement of the wire is y1 = Asin(πx / L)sinωt and energy is E1. and in another experiment, its displacement is y2 = A sin (2πx/L) sin2ωt and energy is E2, Then:- (1) E2 = E1 (2) E2 = 2E1 (3) E2 = 4E1 (4) E2 = 16E1

@jageshkano 5 жыл бұрын

But how do you know there will be a phase angle? Questions never tell you directly :( Can you help? Update, I figured it out lmao its pretty easy now I that I think about it hah

@MichelvanBiezen 5 жыл бұрын

It depends on the initial position of the mass when t = 0, and which function you use (sin or cos). If the mass is at the maximum position x = A and you use the cos function, then there will not be a phase angle.