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Sum three force vectors based on a written description of the situation.
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England schools
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England university
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Scotland schools
Taxonomy: mathcentre
Taxonomy: Kind of activity
Taxonomy: Context
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From users who are members of Engineering Statics :
William Haynes
|
said | Ready to use | 4 years, 11 months ago |
History
William Haynes commented 3 years, 6 months ago
Clarified the advice to show how direction of R from x-axis is calculated.
William Haynes 4 years, 2 months ago
Published this.
William Haynes 4 years, 11 months ago
Gave some feedback: Ready to use
William Haynes 4 years, 11 months ago
Created this.There is only one version of this question that you have access to.
There are 5 other versions that do you not have access to.
| Name | Type | Generated Value |
|---|
| ax | number |
-38.9711431703
|
||||
| bx | number |
-14.5521375022
|
||||
| cx | number |
0.000000
|
||||
| ay | number |
-22.5
|
||||
| by | number |
-58.2085500087
|
||||
| cy | number |
-25.00000
|
||||
| rx | number |
-53.5232806725
|
||||
| ry | number |
-105.7085500087
|
||||
| R | number |
118.4864512039
|
||||
| theta_R | number |
-116.8544059012
|
| Name | Type | Generated Value |
|---|
| A | integer |
45
|
||||
| B | integer |
60
|
||||
| unit | string |
lb
|
||||
| C | integer |
25
|
||||
| rise | integer |
-4
|
||||
| run | integer |
-1
|
||||
| theta | integer |
30
|
||||
| dirA | list |
[ "negative $x$ axis", 210 ]
|
||||
| dirC | list |
[ "down", 270 ]
|
||||
| alpha | integer |
210
|
||||
| beta | number |
-104.0362434679
|
||||
| gamma | integer |
270
|
||||
| debug | boolean |
false
|
Generated value: number
-38.9711431703
← Depends on:
- A
- alpha
→ Used by:
- rx
- "Find Rectangular Components" - prompt
- "Find Rectangular Components" → "$A_x$" - Correct Quantity.
Parts
Gap-fill
Ask the student a question, and give any hints about how they should answer this part.
- Draw a neat, scaled, labeled diagram representing particle $P$ and the three forces acting on it.
- Find the scalar components of $\textbf{A}, \textbf{B}$, and $\textbf{C}$. Remember, scalar components use a sign to indicate direction along their line of action.
| Force | $x$ | $y$ |
| $\textbf{A}$ | ||
| $\textbf{B}$ | ||
| $\textbf{C}$ |
| x | y | |
| A | {precround(Ax,2)} {unit} | {precround(Ay,2)} {unit} |
| B | {precround(Bx,2)} {unit} | {precround(By,2)} {unit} |
| C | {precround(Cx,2)} {unit} | {precround(Cy,2)} {unit} |
| R | {precround(Rx,2)} {unit} | {precround(Ry,2)} {unit} |
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- 04. Vector Addition Rectangular Components by William Haynes in Engineering Statics.
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- Ch. 2 Homework by Megan Voss in ENGR 212 Spring 2025.