An object attached to a spring undergoes simple harmonic motion modeled by the differential equation d²x + kx = dt² O 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 3 kilograms stretches the spring 0.2 meters. Use this information to find the spring constant. (Use g = 9.8 meters/second²) m k = The previous mass is detached from the spring and a mass of 17 kilograms is attached. This mass is displaced 0.45 meters below equilibrium and then launched with an initial velocity of 2 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.

An object attached to a spring undergoes simple harmonic motion modeled by the differential equation d²x + kx = dt² O 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 3 kilograms stretches the spring 0.2 meters. Use this information to find the spring constant. (Use g = 9.8 meters/second²) m k = The previous mass is detached from the spring and a mass of 17 kilograms is attached. This mass is displaced 0.45 meters below equilibrium and then launched with an initial velocity of 2 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.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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