Question: Fill in the Blank. When the solution vector is denoted as a linear combination of the normal modes as (vec{x}(t)=sum_{i=1}^{n} q_{i}(t) vec{X}^{(i)}), the generalized coordinates
Fill in the Blank.
When the solution vector is denoted as a linear combination of the normal modes as \(\vec{x}(t)=\sum_{i=1}^{n} q_{i}(t) \vec{X}^{(i)}\), the generalized coordinates \(q_{i}(t)\) are also known as the _________ participation coefficients.
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The statement is almost correct but theres a slight inaccuracy In the given equation vecxt represents the solution vector for the system at a specific time t qit are the generalized coordinates Xi are the normal mode shapes of the system Generalized coordinates qit are not participation coefficients Heres a breakdown of the relevant concepts Generalized coordinates qit These represent ... View full answer
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