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08-Note2-web

r(t) t r(t) O v(t) = dr(t) dt a(t) = dv(t) dt = d2 r(t) dt 2 r(t), v(t), a(t) t dr(t) dt r(t) =(x(t),y(t),z(t)) = d 2 r(t) dt 2 = ( dx(t) dt ( d 2 x(t) dt 2, dy(t), dz(t) dt dt ), d2 y(t) dt 2, d2 z(t)

TCSE4~5

II. T = 1 m!! U = mg!(1 cos!) E = T + U! E U = T E U! m U,E mg! U = mg!(1! cos)! < E < mg! mg! < E! L = T!U = 1 m!! mg!(1! cos) d L! L = L = L m!, =!mg!sin m! + mg!sin = d =! g! sin & g! d =! sin ! = v