lecture12-oscillations and energy

# lecture12-oscillations and energy - What you can do so far...

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What you can do so far … can describe SHM with graphs and equa:ons What you will be able to do a<er today … the diFerence between horizontal and ver:cal springs the poten:al and kine:c energy of a mass-spring system Explain … elas:c poten:al energy and kine:c energy for a spring/mass system Calculate … conserva:on of energy to SHM Apply …

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-4 -3 -2 -1 0 1 2 3 4 0 10 20 30 40 50 60 time (s) x (cm) review: finding the equation
Use the information in the graph, the equation for the motion of the mass is (close closest answer) A. x(t) = 3.5cm cos(( π /10)t + π /2) B. x(t) = 3.5cm cos(( π /10)t – π /2) C. x(t) = 3.5cm cos(( π /10)t +1.05 rad) D. x(t) = 3.5cm cos(( π /10)t –1.05 rad) E. none of the above -4 -3 -2 -1 0 1 2 3 4 0 10 20 30 40 50 60 time (s) x (cm)

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Hooke ` s Law Force x k F x = Horizontal mass-spring x k F x = Compare it to the standard equation for SHM x m F x 2 ω = k m = 2 m k =
U = 1 2 k ! x ( ) 2 Work done on the spring by the external force: Work done on the spring is stored as the elastic potential energy ( U ) of the spring

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lecture12-oscillations and energy - What you can do so far...

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