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Consider the set of masses and springs shown above. Use ω2 = k/m. Write down the equations of motion (Newton's 2nd law/forces) for each of the masses. Assume that the motion of each mass i is described by xi[t] = Aieiαt Write down the linear equations (in terms of ω, Ai and α) that the equations of motion imply. You do not need to solve this.

Consider the set of masses and springs shown above. Use ω2 = k/m. Write down the equations of motion (Newton's 2nd law/forces) for each of the masses. Assume that the motion of each mass i is described by xi[t] = Aieiαt Write down the linear equations (in terms of ω, Ai and α) that the equations of motion imply. You do not need to solve this.

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Consider the set of masses and springs shown above. Use ω 2 = k / m .
  1. Write down the equations of motion (Newton's 2nd law/forces) for each of the masses.
  2. Assume that the motion of each mass i is described by
x i [ t ] = A i e i α t
Write down the linear equations (in terms of ω , A i and α ) that the equations of motion imply. You do not need to solve this.

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