A force of 6 N will hold a spring stretched at 3 m. Suppose a 6 kg mass is attached to the spring, it is stretched to 3 m, and released with an initial velocity of 0 m/s. Assume there is no dampening. Find an equation involving y (position) and v (velocity, which is the derivative of position) that governs the motion of the mass.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter7: Hamilton's Principle-lagrangian And Hamiltonian Dynamics
Section: Chapter Questions
Problem 7.13P
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A force of 6 N will hold a spring stretched at 3 m. Suppose a 6 kg mass is attached to the spring, it is stretched to 3 m, and released with an initial velocity of 0 m/s. Assume there is no dampening.

Find an equation involving y (position) and v (velocity, which is the derivative of position) that governs the motion of the mass.

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