Differential Elements

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William Haynes

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6 years, 5 months ago

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William Haynes 6 years, 4 months ago

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William Haynes 6 years, 5 months ago

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William Haynes 6 years, 5 months ago

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Question statement

{geogebra_applet('tpndhsyt',[['version',version]])}

Give any introductory information the student needs.

			Name	Type	Generated Value

version	integer	6
dA	expression	(a - x)dy
xbar	expression	(x + a)/2
ybar	expression	y

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(1..6)

JME function reference

Description

Describe what this variable represents, and list any assumptions made about its value.

Can an exam override the value of this variable?

Generated value: `integer`

→ Used by:

dA
xbar
ybar

Statement

Parts

Gap-fill
1. Gap da Mathematical expression
  Add
2. Gap xbar Mathematical expression
  Add
3. Gap ybar Mathematical expression
  Add

Gap-fill

Ask the student a question, and give any hints about how they should answer this part.

Determine the properties of the differential strip in terms of the known coordinates.

$dA$ = da

$\bar{x}_{el}$ = xbar

$\bar{y}_{el}$ =ybar

Advice

The area of the strip, dA is the width times the height of the strip.

The narrow width of the element is either $dx$ or $dy$

The coordinates of the centroid are found by averaging the coordinates of the top and bottom of the strip.

Give a worked solution to the whole question.

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Part	Test	Passed?
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Gap-fill		Hasn't run yet
Mathematical expression
Mathematical expression		Hasn't run yet
Mathematical expression
Mathematical expression		Hasn't run yet
Mathematical expression
Mathematical expression		Hasn't run yet

This question is used in the following exams:

Chapter 7 Exercises by William Haynes in Engineering Statics.
Chapter 07 Exercises by Michael Proudman in Engineering Statics.
20. Centroids by Integration by Michael Proudman in Engineering Statics.
21. Centroids by Integration by William Haynes in Engineering Statics.

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Taxonomy: mathcentre

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Taxonomy: Context

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Checkpoint description

William Haynes 6 years, 4 months ago

William Haynes 6 years, 5 months ago

William Haynes 6 years, 5 months ago

Error in variable testing condition

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Generated value: `integer`

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Gap-fill

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Differential Elements

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

William Haynes 6 years, 4 months ago

William Haynes 6 years, 5 months ago

William Haynes 6 years, 5 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`