User:Egm4313.s12.team5.house

From Wikiversity
Jump to navigation Jump to search

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.

From


Report 2[edit]

My Report 2 problem (2.8)


15.


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: