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Energy Conservation in Mechanical Systems

Explore the principles of energy conservation in mechanical systems through equations and calculations. Learn how potential and kinetic energy interact to maintain system equilibrium.

jared-haynes
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Energy Conservation in Mechanical Systems

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  1. Energy Book-keeping E2 - E1 = WNC

  2. E Energy h x UG K US US= 0 UG= 0 = Mgh =½ kx2 = 0 E=US+UG+K E1= ½ kx2+0+0 E2= 0+Mgh+0 E2 – E1 = WNC E1= E2 ===> ½ kx2 = Mgh

  3. E Energy v x UG K US US= 0 = 0 = 0 UG= 0 = ½ kx2 US= 0 K = ½ Mv2 UG = Mgx E2 = 0 + Mgx + ½ Mv2 E = US+UG+ K E1 = E2 ===> ½ kx2 = Mgx + ½ Mv2 E1 = ½ kx2 + 0 + 0

  4. E1 E2 Energy v kx x Mg fk UG K US WNC = - fkx US= 0 = 0 = 0 UG= 0 = ½ kx2 US= 0 K = ½ Mv2 UG = Mgx E2 = 0 + Mgx + ½ Mv2 E = US+UG+ K E2 – E1 = WNC (Mgx + ½ Mv2)– ½ kx2 = - fkx E1 = ½ kx2 + 0 + 0

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