The hammer of a Charpy impact testing machine has a mass of 10 kg concentrated at 0.5 m radius from a frictionless pivot. The hammer is held at a 60 deg angle with the vertical above the pivot and allowed to swing freely in a vertical circle. (1) Calculate the kinetic energy of the hammer and its speed at its lowest position. At the lowest point, it strikes and breaks a metal specimen and continues to swing to reach a maximum angle of rise \beta with respect to the lowermost position at which point the hammer comes instantaneously to rest. (ii) Find the energy absorbed by the specimen if the hammer reaches a maximum angle of rise \beta = 83.6\deg