The 3000-kg anvil a of the drop forge is mounted on a nest of heavy coil springs having a combined stiffness of 2.8(106) n/ m. the 600-kg hammer b falls 500 mm from rest and strikes the anvil, which suffers a maximum downward defl ection of 24 mm from its equilibrium position. determine the height h of rebound of the hammer and the coefficient of restitution which applies.

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.