anuttarasammyak's latest activity

After transformation of ##X_2=3-x_2## the two partial differential equations are $$-2(4-x_1^2 -X_2^2)x_1+(x_1+X_2-3)=0$$ $$-2(4-x_1^2...

I am sorry for my careless mistakes on L. I corrected #4. It seems in good accord with your result.

continued from #2: With the help of Wolfram I get one real solution...

Square of the distance is $$L^2=(y_1-y_2)^2+(x_1-x_2)^2=(4-x_1^2-(x_2-3)^2)^2+(x_1-x_2)^2$$ The condition of minimum is $$\frac{\partial...

Consider a disc of radius ##R## with a uniform mass distribution and total mass ##M## rotating in its own plane. In its COM's inertial...

In the c limit two OP disks and this disk both have mass 2M. KE of the former is finite 2M, that of the latter diverges. If we don’t...

From OP Say the material of the disk is incompressible fluid the density of which is $$ \rho = \frac{M}{\pi R^2 d}$$ where d is...

In your formula K=M for ##\omega R=1##. I think that even the rim part speed reaches light speed, its element contribution is...

@gleem When we regard O as a point in the massless rigid body composed of the arms y, z, and d, only internal forces act on O. Their...

Graphene is not a single-atom lattice. It has two sublattices (A and B). At a Dirac point (K point), the wavefunction is not a simple...

In theory melting point of heavier mono isotope is higher. $$T_{28}<T_{29}< T_{30} $$ For an example D2O has melting point 3.82 degree...

$$\ln 10 e^{y\ln 10 }dy = \frac{dx}{x}$$ $$e^{y\ln 10 } = \ln |x |+ C$$ $$y= \frac{\ln(\ln |x| + C)}{\ln 10}$$defined for $$|x|...

Torque-free hinges are freely articulated or pinned connections between two members of any structure or armature, or between one member...

I would like you to study the following link, which shows how internal forces transfer the external load to the wall...

The small angle between the wall and the diagonal rod, blue line, in the figure of my #90 you quoted. We can make it infinitesimal.