Mechanics - Forces and Motion


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Flashcards

2021-01-05

What is a force diagram?


A diagram showing all the forces acting on an object.

What should you draw whenever you have a problem involving forces in Mechanics?


A force diagram.

In $\hat{i}$ and $\hat{j}$ notation, what is the value of a resultant force for an object in equilibrium?


\[0\hat{i} + 0\hat{j}\]

2021-02-02

If
\[\left(\begin{matrix} 2+p \\ 5+q \end{matrix}\right)\]

is parallel to

\[\left(\begin{matrix} 1 \\ -2 \end{matrix}\right)\]

, what equation could you write in terms of a new variable $k$ to aid in solving??

\[\left(\begin{matrix} 2+p \\ 5+q \end{matrix}\right) = \left(\begin{matrix} k \\ -2k \end{matrix}\right)\]
If
\[\left(\begin{matrix} 2+p \\ 5+q \end{matrix}\right) = \left(\begin{matrix} 1k \\ -2k \end{matrix}\right)\]

is true, what two equations can you write??

\[2+p = k \\\\ 5+q = -2k\]

#####

\[2+p = k \\ 5+q = -2k\]

How could you rewrite this so it’s just in terms of $p$ and $q$??

\[-2(2 + p) = 5 + q\]

2022-03-28

If

\[\left(\begin{matrix} 2+p \\ 5+q \end{matrix}\right)\]

is parallel to

\[\left(\begin{matrix} 1 \\ -2 \end{matrix}\right)\]

, what equation could you write in terms of a new variable $k$ to aid in solving?


\[\left(\begin{matrix} 2+p \\ 5+q \end{matrix}\right) = \left(\begin{matrix} k \\ -2k \end{matrix}\right)\]

If

\[\left(\begin{matrix} 2+p \\ 5+q \end{matrix}\right) = \left(\begin{matrix} 1k \\ -2k \end{matrix}\right)\]

is true, what two equations can you write?


\[2+p = k \\\\ 5+q = -2k\]
\[2+p = k \\ 5+q = -2k\]

How could you rewrite this so it’s just in terms of $p$ and $q$?


\[-2(2 + p) = 5 + q\]

2022-05-01

What’s the normal procedure for answering a ladder or hinge question?


  • Take moments
  • Resolve forces

How many components of reaction are there at a wall in a ladder question?


\[1\]
Is the reaction force necessarily the resultant force??

No, not if there is friction involved.

2022-05-15

How many components of reaction are there at the hinge?


\[2\]



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