Energy Conservation(cont'd) Kinetic Energy Conservation of energy (T+V)=mii+ kai=0 Governing equation mi+k= o Above represents a very general way of de- riving equations of motion (Lagrangian Me- chanicsEnergy Conservation (cont’d) Kinetic Energy 1 2 mx˙ 2 Conservation of energy d dt (T + V ) = mx˙x¨ + kxx˙ = 0 Governing equation mx¨ + kx = 0 Above represents a very general way of de￾riving equations of motion (Lagrangian Me￾chanics) 5