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Report 1[edit]

My Report 1 Problem (1.2)

From Newton's Second Law and summing forces in the y-direction:

Where is the force due to the spring, is the force due to the dashpot, and is the applied force.

Therefore: and

Both the force due to the spring and the force due to the dashpot oppose motion, and is assumed to act in the negative y direction.


Report 2[edit]

My Report 2 problem (2.8)


Writing the characteristic equation:

Which is now in the form:

Solving for the two roots:

We will find the discriminant to be less than 0, leading to complex conjugate roots:

Which leads to a solution of the form:

Where , therefore:

Giving us a solution of:

Report 4[edit]

4.1 Answer: