PHYS 130 Formula Sheet] - 1 T = fffff f 2 = 2f = fffffff T...

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f = 1 T ffff T = 1 f fffff ϖ = 2 π f = 2 π T fffffff F x = @ kx x = F A, v x = 0 , a x = ϖ 2 A x = 0 , v x = F ϖ A, a x = 0 max U, a = max a x = F x m fffffff = @ kx m ffffff ϖ = k m fffff s wwwwwwwwwww , ϖ 2 = k m fffff f = ϖ 2 π fffffff = 1 2 π fffffff A k m fffff s wwwwwwwwwww T = 1 f fffff = 2 π m k fffff r wwwwwwwwwww x = A cos ϖ t + φ b c v = @ A ϖ sin ϖ t + φ b c a = @ A ϖ 2 sin ϖ t + φ b c a = @ ϖ x Energy in SHM E tot = 1 2 fff mv 2 + 1 2 fff kx 2 U = 1 2 fff kx 2 , K = 1 2 fff mv 2 E tot = 1 2 fff kA 2 = K + U x = F A, v x = 0 , E = 1 2 fff KA 2 K = U @ x = F A 2 p wwwwww fffffffff Vertical SHM F spring = mg @ kx = mg k + = m g f = 1 2 π fffffff k m fffff s wwwwwwwwwww ϖ = g + fffffff r wwwwwwwwwwwwww = k m fffff s wwwwwwwwwww x = A cos ϖ t + φ b c v = @ A ϖ sin ϖ t + φ b c v max = @ A ϖ a = @ A ϖ 2 sin ϖ t + φ b c a = @ ϖ 2 x Simple Pendulum ϖ = g L ffff r wwwwwwwwww = mgd L ffffffffffff s wwwwwwwwwwwwwwwwwwwwww f = ϖ 2 π fffffff = 1 2 π fffffff g L ffff r wwwwwwwwww T = 1 f fffff = 2 π L g ffff s wwwwwwwwww T = 2 π I mgd ffffffffffff s wwwwwwwwwwwwwwwwwwwwww x = A cos ϖ t ` a v = @ ϖ A sin ϖ t ` a v max = ϖ A Dampening x = Ae @ bt 2 m fffff cos ϖ . t + φ b c ϖ . = k m fffff @ b 2 4 m 2 fffffffffff v u u t wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww if ϖ . = 0 then b = 2 km p wwwwwwwwwwwww x = Ae @ bt 2 m fffffff cos φ k = mg L ffffffff under b < 2 km p wwwwwwwwwwwww crtical b = 2 km p wwwwwwwwwwwww over b > 2 km p wwwwwwwwwwwww A = F max k @ m ϖ d
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This note was uploaded on 12/13/2009 for the course ENGG ENGL 1199 taught by Professor Bruseski during the Spring '09 term at University of the Bío-Bío.

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PHYS 130 Formula Sheet] - 1 T = fffff f 2 = 2f = fffffff T...

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