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...m*a, so: m*a = -m*g - k*

**v**Writing a = x'' and**v**= x', we have the differential equation of motion that governs...and solve for the unknown parameter,**a**: (**k**/m)*a= -g a = -g***m**/**k**The complete solution is then given by...1 Answers · Science & Mathematics · 19/10/2008

The period = T = 2π√(

**m**/**k**) The motion is described by : deflection = s...m), A = amplitude and t = time. The velocity is:**v**= ds/dt = A.ω.cos(ωt) so A.ω =**A**...1 Answers · Science & Mathematics · 30/04/2011

...to find 1/4 of the time of one period. Let:

**V**= maximum speed = 1.85 m/s A = maximum acceleration... / K V² / A² =**M**/**K**(**V**/ A)² =**M**/**K**...1 Answers · Science & Mathematics · 18/11/2012

...kA² = ½mv²

**v**= √(kA²/m) =**A**√(**k**/m)**v**/**A**= √(**k**/m), therefore: ω = √(k/m) T = 2π/ω = 2π√(**m**/**k**) = 2π√(0.1kg/200N/m) = 0.14 s1 Answers · Science & Mathematics · 26/03/2016

(a) T = 2π√(

**m**/**k**) where T = period = ? m = mass = 0.382 kg k = spring constant = 1.28 N/m so T = 2π√(0.382 / 1.28/k) T = 3.43 s (b) The amplitude is just the distance it was pulled...2 Answers · Science & Mathematics · 08/09/2012

...2)^2 + (1/2) m

**v**^2 = (1/2) k A^2 Solving**m**= (**k**/**v**^2)(A^2 - A^2/4) = 0.75*3.4*(0.141/0.299)^2 = 0.567 Kg The period T = 2 pi * sqr(**m**/**k**) = 2.566 s. The maximum acceleration**a**=**k**A/m = 0.845...2 Answers · Science & Mathematics · 29/01/2008

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3 Answers · Education & Reference · 06/05/2009

.../m) x = Acos(ωt) So? x = Acos(√(K/m)t)

**v**= -**A**√(**K**/m)sin(√(K/m)t) Let... A = 0.04**m****K**= 20.2 m = 0.38 Therefore, the max velocity is...**A**√(**K**...1 Answers · Science & Mathematics · 10/12/2012

1. Use conservation of energy. 1/2 kA^2 = 1/2 mv^2 + 1/2 kx^2 A = sqrt((

**m**/**k**)**v**^2 + x^2) 2. The block's acceleration is given by Newton's 2nd law: ...1 Answers · Science & Mathematics · 13/12/2012

... be the mechanical energy. m be the mass, g be the acceleration due to gravity,

**v**be the upward speed, h be the height.**M**=**K**+ P and is constant. (**a**)**K**= mv^2 / 2 = 0.300 * 10^2 / 2 = 15...1 Answers · Education & Reference · 19/12/2009

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