anuttarasammyak's latest activity

What actually is ##g(f(t),t)## in your case ?

Yes, this way seems to get the result a little easier. I worked the ## y=4-x^2 ## and ## y=(2x-6)^2 ## problem by this method just...

I got ##x_1=1.8317... \ x_2=3-\frac{x_1}{4}=2.5421...## The equation of ##x_1##: Other two casese : ##(x_1.x_2)=(-1.3444...

Yes, after we check that the curves do not cross at first. We may include not smooth points and end points on the curve in the survey...

Find the two points that share the same normal line. It would be a general way as @pasmith showed.

The ultimate MagLev trains! (Well, except for no people...) :smile:

Light speed is the limit for any method. I do not know about other practical limit for mag-lev in vacuum space. For an example by...

For the calculation with the slopes mentioned in post 8, we have ## m=\frac{2-(4-a^2)}{3/2-a}=\frac{(3-a-3)^2-2}{3-a-3/2}## and these...

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...