Recent content by theodoros.mihos

See about diffusion equation numerical stability conditions.

https://en.wikipedia.org/wiki/Photon_diffusion_equation

This is right for the first 'period'. If these are experimental data, you may take a mean value over all possible differences.

##T_i=10\,N## and ##a_i=0## when system not move. When system rolling, ##a_1=a_2## Now you can see the forces to ##m_2##.

##C## is an empirical parameter for any device. Try to add small charges ##\delta{q}## to a device that ##V## depends linearely to ##Q## inside, like a common capacitor. Adding total energy you can see a Gaus's summation that provide a factor 1/2.

This is a non-quasistatic processes. I think that the only we can say is: ##U_1 = p_1V_1 = nRT_1## ##U_2 = p_2V_2 = nRT_2 = nRT_1 + W_{ext}## but we have no quasistatic processes to calculate ##W_{ext}##

What friction do (take)?

Why problem ask for the maximum velocity on C? Can be less? Why? Which word we use 3 times on these questions?

Flat and curved surfaces can calculated by the same way as ## \delta{F} = p\,\delta{A} ## with ##\delta{A}\to0##. This is distributed load force and container is rigid body.

How can we describe the force by liquid to one specific point? This is not single point mechanics.

What does "area" exactly mean? Area for me is the paper amount that need painting and for this reason I take right hand result. But the integral have sign and is the left hand result.

You are right. May be better a simpler geometry. Let ##A(x_1,y_1)## and ##B(x_2,y_2)## the end points and ##O(x,0)## the point than we need. Write the total time and take derivation ##d/dx(t)=0##.

Yes, is not correct but when we don't explain what we do, some people thinks that may be correct for some reason. For example, I don't know what is LHS or RHS. Is something like KGB to me.

$$\int_0^{2π} sin(x)\,dx = 2 \int_0^π sin(x)\,dx$$ may used on cases than something change on ##\pi## value. Generally is zero. Please, place the foul problem.

Multiple choice them may not need calculations. If (1) and (2) works together what can be the only possibility?