Arope of length l is thrown over two small frictionless pulleys separated by distance d (pulleys are placed at the same height). two masses, m1 and m2, are attached to the ends of the rope. each of two masses can oscillate in the plane of the system while rope is allowed to slide. write down lagrangian and euler-largrange equations for this system.

1) when you rub your hands together quickly, the kinetic energy is converted to mechanical energy.2) thermal energy from the sun travels to earth as infrared waves.3) energy is transferred through the matter of space by electromagnetic waves. 4) when a match is burned, chemical potential energy is converted to thermal and radiant energy. 5) seismicwaves are caused by back and forth movement , or vibration, of an object. 6) mechanicalenergy in an engine changes thermal energy into kinetic energy to make a car move.