A sample of gas in a cylinder with a piston is in thermal contact with a heat reservoir at a temperature of 353 K. While keeping this gas at this constant temperature and at a constant pressure of 8.00 104 N/m2, we permit the gas to expand by 1.80 10-5 m3. How much heat does the gas absorb during this process

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.