A ransom note was found and the police need your help. They are backlogged with work and hopes your knowledge of chemistry can be put to use. There are three suspects who wrote the ransom note, and
their pens have been confiscated. To protect their identities, we'll refer to these students simply as
Suspects 1, 2, and 3. Suspect 1 had the permanent marker. Suspect 2 had the black crayola. Suspect 3
had the black Vis A Vis marker. Determine which suspect's pen, if any of them, was used to write the
ransom note.

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.