2) If the centripetal force on an object in uniform circular motion is increased, what is the effect on (a) the frequency of rotation f (with r constant) and (b) f and r when both are free to vary

If a balloon is taken outside on a very cold day, what will occur?

Which two particles are found in the center of an atom

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.