Recent content by Thimble

Thanks for responding but won't this method give a time varying answer since when the wave is at its full amplitude the integral here will be larger than when the string is completely at equilibrium position? I think the L I'm looking to find is the x coordinate of the end of the string as...

Homework Statement A horizontally oriented string with mass per unit length ##\mu=0.1kgm^{-1}## is under tension T=1.0N. The left end of the string moves up and down in a simple harmonic motion with an amplitude A=0.10m and frequency f=3.0Hz. This sets up a sinusoidal wave along the string with...

Ah, that makes sense. Just two more quick questions if you don't mind. As r would be treated as a constant in an integral with respect to Φ can i just take it inside the integral as follows to get $$\int_{\theta=0}^{2\pi}\ \int_{r=0}^\infty \int_{\phi=0}^{2\pi} \frac{r...

I've been given ρ in terms of that integral of Θ that I'm not sure how to calculate. Without having the actual value for ρ rather than in terms of that definite integral I'm not sure how to show that the integral of ρ is equal to 1, unless I'm missing something obvious.

Yes I should have θ=0 on the bottom limit. I don't see why we use 0 and ∞ as the limits for r, surely the integral at r=∞ is 0 and after a certain time the integral at r=0 will be 0 as well (As Θ will be zero at these values)? Also I'm still struggling to figure out how to obtain what ρ(r,θ;t)...

Homework Statement A two-dimensional circular region of radius a has a gas of particles with uniform density all traveling at the same speed but with random directions. The wall of the chamber is suddenly taken away and the probability density of the gas cloud subsequently satisfies $$...