An object attached to a spring undergoes simple harmonic motion modeled by the differential equation d²x m +kx = dt² = 0 where x(t) is the displacement of the mass (relative to equilibrium) at time t, m is the mass of the object, and k is the spring constant. A mass of 17 kilograms stretches the spring 0.1 meters. Use this information to find the spring constant. (Use g = 9.8 meters/second²) k = The previous mass is detached from the spring and a mass of 4 kilograms is attached. This mass is displaced 0.85 meters below equilibrium and then launched with an initial velocity of -1 meters/second. Write the equation of motion in the form x(t) = c₁ cos(wt) + C2 sin(wt). Do not leave unknown constants in your equation. x(t) = Submit Question

An object attached to a spring undergoes simple harmonic motion modeled by the differential equation d²x m +kx = dt² = 0 where x(t) is the displacement of the mass (relative to equilibrium) at time t, m is the mass of the object, and k is the spring constant. A mass of 17 kilograms stretches the spring 0.1 meters. Use this information to find the spring constant. (Use g = 9.8 meters/second²) k = The previous mass is detached from the spring and a mass of 4 kilograms is attached. This mass is displaced 0.85 meters below equilibrium and then launched with an initial velocity of -1 meters/second. Write the equation of motion in the form x(t) = c₁ cos(wt) + C2 sin(wt). Do not leave unknown constants in your equation. x(t) = Submit Question

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Polynomial Functions

Section3.5: Mathematical Modeling And Variation

Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...

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