What do radio waves and microwaves have in common? Both are at the side of the spectrum that has the highest frequency.

Both have shorter wavelengths than visible light.

Both have lower frequencies than visible light.

Both have radiant energy than visible light.

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.