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  1. ...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

  2. 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

  3. ...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

  4. ...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 s

    1 Answers · Science & Mathematics · 26/03/2016

  5. (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

  6. ...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

  7. The talent of success is nothing more than doing what you can do well and doing well whatever you do. - H.W. Longfllow

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

  8. .../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

  9. 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

  10. ... 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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