Wave function at origin on transverse wave

AI Thread Summary
The discussion centers on determining the wave function of a transverse wave given by the equation y(x,t)=Acos(10∏t+5x) at the origin. The participants clarify that "at the origin" refers to the point where x=0 and t varies. The correct interpretation leads to the conclusion that the wave function at the origin is y(0,t)=Acos(10∏t). This was confirmed through communication with a teacher. The final answer emphasizes the importance of understanding the context of the question.
Saxby
Messages
45
Reaction score
0

Homework Statement


You have the simple harmonic equation for a transverse wave which is y(x,t)=Acos(10∏t+5x), what is the wave function at the origin

The Attempt at a Solution


By "at the origin" does it mean where x=0 and t=0. Because it that case y=Acos0 and therefore y=A. Is that right?
 
Physics news on Phys.org
I would interpret it to mean to let x = 0 and let t vary, but your interpretation may also be what was meant.
 
I am sure the question wants you take it as when x = 0 and t various
so y(0,t)=Acos(10∏t) = wave function at origin.
 
Thanks guys, I talked to my teacher and i can safely conclude the answer is y(0,t)=Acos(10∏t)
 

Thread 'Struggling to understand the concept of this question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
View full post »
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Similar threads

Wave function - displacement - transverse wave
Replies
3
Views
2K
Distance traveled by a particle in a transverse wave
Replies
2
Views
3K
Determining Parameters of a Transverse Harmonic Wave
Replies
3
Views
2K
Find transverse velocity given an equation of displacement
Replies
9
Views
2K
Waves and vibrations on a string
Replies
2
Views
2K
Waves on a String -- Minimizing reflections from the far end (ring on a bar)
Replies
1
Views
2K
Conservation of power in a traveling wave on a string
Replies
9
Views
2K
New wave after superposition (interference)
Replies
4
Views
2K
Standing wave transverse motion and amplitude
Replies
5
Views
2K
Why can’t transverse waves travel through a gas or liquid?
Replies
13
Views
9K

Hot Threads

Recent Insights

Back
Top