Louise (80 lbs) and Tina (100 lbs) are going to have a jumping contest. To determine who has to do the dinner dishes. Answer the following questions about their contest. During the propulsive phase of the jump if Louise exerts an average of 0.3 times her body weight for 0.2 seconds and Tina exerts an average of 0.25 times her body weight for 0.4 seconds what will their take-off velocities be

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.