Q3 Draw a free body diagram for the following system and, hence, determine a mathematical model relating the input force u(t) to the output x(1), where x(1) represents the displacement of mass M, as shown. Write your model as a differential equation. Clearly state any assumptions made in your model.

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answer this question woth a free body diagram and explain each part of the question to the final answer
Q3
Draw a free body diagram for the following system and, hence,
determine a mathematical model relating the input force u(t) to the
output x(t), where x(t) represents the displacement of mass M, as
shown. Write your model as a differential equation. Clearly state any
assumptions made in your model.
B₂
u(1)
x(1)
M
B₁
K₂
wwww
Transcribed Image Text:Q3 Draw a free body diagram for the following system and, hence, determine a mathematical model relating the input force u(t) to the output x(t), where x(t) represents the displacement of mass M, as shown. Write your model as a differential equation. Clearly state any assumptions made in your model. B₂ u(1) x(1) M B₁ K₂ wwww
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