Athin walled spherical shell is rolling on a surface. what
fraction of its total kinetic energy is in the form ofrotational
kinetic energy about the center of mass?

If y gets smaller as x gets bigger and y have an relationship?

Consider a double atwood machine constructed as follows: a mass 4m is suspended from a string that passes over a massless pulley on frictionless bearings. the other end of this string supports a second similar pulley, over which passes a second string supporting a mass of 3m at one end and m at the other. using two suitable generalized coordinates, set up the lagrangian and use the lagrange equations to find the acceleration of the mass 4m when the system is released. explain why the top pulley rotates even though it carries equal weights on each side.

What was the first instrument to ever record an earthquake?