![Understanding the Equation m_q[k] = m_q[k-1] + d_q[k]](https://assets.quizgecko.com/cdn-cgi/image/width=800,height=300,fit=crop,quality=75,format=webp/quiz/a1ba40b793bb3820372ab0eecb610cb8.jpg)
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Questions and Answers
What does the equation $m_{q}[k] = m_{q}[k-1] + d_{q}[k]$ represent?
What does the equation $m_{q}[k] = m_{q}[k-1] + d_{q}[k]$ represent?
- A way to calculate the total mass at index k.
- A method for finding the difference of two masses.
- An equation for summing differences of mass over indices. (correct)
- A formula to determine the average of two consecutive masses.
In the equation $m_{q}[k] = m_{q}[k-1] + d_{q}[k]$, what does $d_{q}[k]$ represent?
In the equation $m_{q}[k] = m_{q}[k-1] + d_{q}[k]$, what does $d_{q}[k]$ represent?
- The total mass accumulated up to index k.
- The incremental change in mass at index k. (correct)
- The average change in mass calculated over the sequence.
- The mass at index k.
How does the equation $m_{q}[k] = m_{q}[k-1] + d_{q}[k]$ affect the value of $m_{q}[k]$ if $d_{q}[k]$ is negative?
How does the equation $m_{q}[k] = m_{q}[k-1] + d_{q}[k]$ affect the value of $m_{q}[k]$ if $d_{q}[k]$ is negative?
- It will decrease the value of $m_{q}[k]$. (correct)
- It will have no effect on the value of $m_{q}[k]$.
- It will increase the value of $m_{q}[k]$.
- It will always result in a zero value for $m_{q}[k]$.
What is the primary operation performed within the equation $m_{q}[k] = m_{q}[k-1] + d_{q}[k]$?
What is the primary operation performed within the equation $m_{q}[k] = m_{q}[k-1] + d_{q}[k]$?
Flashcards
Mass Equation: m_{q}[k] = m_{q}[k-1] + d_{q}[k]
Mass Equation: m_{q}[k] = m_{q}[k-1] + d_{q}[k]
A mathematical equation that describes the relationship between the mass of a body at a specific time step k and the mass at the previous time step k-1, considering the mass change d during the time step.
m_{q}[k]
m_{q}[k]
The mass of the body at time step k, meaning at a specific point in time during the analysis.
m_{q}[k-1]
m_{q}[k-1]
The mass of the body at the previous time step k-1, meaning at the time step before the current one.
d_{q}[k]
d_{q}[k]
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Significance of the mass equation
Significance of the mass equation
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Study Notes
Equation for mq[k]
- The value of mq[k] is calculated by adding mq[k-1] and dq[k]
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Description
This quiz explores the equation m_q[k] = m_q[k-1] + d_q[k], breaking down each component and its implications. It investigates what d_q[k] represents, how negative values affect m_q[k], and identifies the primary operation within the equation. Perfect for those studying mathematical modeling or discrete systems.
