Centroid of parts

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William Haynes

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William Haynes

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Ready to use

4 years, 7 months ago

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William Haynes 4 years, 7 months ago

Gave some feedback: Ready to use

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William Haynes 4 years, 7 months ago

Gave some feedback: Doesn't work

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William Haynes 6 years, 5 months ago

Gave some feedback: Ready to use

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William Haynes 6 years, 5 months ago

Published this.

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William Haynes 6 years, 5 months ago

Gave some feedback: Needs to be tested

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William Haynes 6 years, 5 months ago

Gave some feedback: Ready to use

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William Haynes 6 years, 6 months ago

Gave some feedback: Needs to be tested

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William Haynes 6 years, 6 months ago

Created this.

Name	Status	Author	Last Modified
Centroid of parts	Ready to use	William Haynes	16/03/2021 20:49
Keith's copy of Centroid of parts	draft	Keith Tarnowski	03/06/2019 15:27

There is one other version that you do not have access to.

Question statement

Determine the coordinates of the centroids of the three shapes. Grid units are [{units}].

{geogebra_applet('xjjm7qqr',[['R_1',R1],['R_2',R2],['T_1',T1],['T_2',T2],['C_1',C1],['C_2',C2]])}

Give any introductory information the student needs.

			Name	Type	Generated Value

R1	vector	vector(7,0)
R2	vector	vector(-9,-8)
T1	vector	vector(1,2)
T2	vector	vector(-5,-1)
C1	vector	vector(-8,5)
C2	vector	vector(-8,10)

			Name	Type	Generated Value

units	string	mm
RC	vector	vector(-1,-4)
TC	vector	vector(-1,1)
CC	vector	vector(-8,7.1220677003)
debug	boolean	false

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
vector(random(-10..10),random(-8..8))

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: `vector`

vector(7,0)

This variable doesn't seem to be used anywhere.

Parts

Gap-fill

Gap-fill

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

Part	$\bar{x}$	$\bar{y}$
Rectangle	$R_x$	$R_y$
Triangle	$T_x$	$T_y$
Semicircle:	$C_x$	$C_y$

{RC} {units}

{TC} {units}

{CC} {units}

Advice

For a rectangle, the centroid is at the geometric center.

For a right triangle, divide the base and height into thirds. The centroid is located at the intersection point nearest to the right angle.

For a semicircle, the centroid is located on the axis of symmetry, a distance of $\frac{4r}{3\pi}$ from the straight edge.

Give a worked solution to the whole question.

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Engineering Accuracy with units
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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.
19. Centroids by Composite Area by Michael Proudman in Engineering Statics.
Week 2 - Exercise - Centroids by Robert Birch in Robert's workspace.
19. Centroids by Composite Area by William Haynes in Engineering Statics.

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Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Checkpoint description

William Haynes 4 years, 7 months ago

William Haynes 4 years, 7 months ago

William Haynes 6 years, 5 months ago

William Haynes 6 years, 5 months ago

William Haynes 6 years, 5 months ago

William Haynes 6 years, 5 months ago

William Haynes 6 years, 6 months ago

William Haynes 6 years, 6 months ago

Error in variable testing condition

Error

Warning

Generated value: `vector`

Parts

Gap-fill

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Centroid of parts

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

William Haynes 4 years, 7 months ago

William Haynes 4 years, 7 months ago

William Haynes 6 years, 5 months ago

William Haynes 6 years, 5 months ago

William Haynes 6 years, 5 months ago

William Haynes 6 years, 5 months ago

William Haynes 6 years, 6 months ago

William Haynes 6 years, 6 months ago

Error in variable testing condition

Error

Warning

Generated value: vector

Parts

Gap-fill

Generated value: `vector`