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

In this video I will explain how the phase angle affect the trig equations of the simple harmonic motion.

Next video can be seen at:

[paramidhananjani]

really helpful even after 6 you so much

[dakotamercer]

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).

[danlurny]

good lesson for pupils) that remainds me the school time

[bonginkosizweni]

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

[haiderh]

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

[dhruvitmodi]

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?

[sriyashpoddar]

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

[agnesooi]

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:)

[vedangisekra]

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

[rjaph]

@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?

[izanazir]

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

[vedangisekra]

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

[notSavant]

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.

[atulraj]

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

[jageshkano]

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

[muthuselvanchandran]

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