Moment Balance: Tension in a cable

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Question statement

{applet}

Control arm $AB$ is subjected to a {direction} moment $M$ and held in position by cable $AC$ .

Knowing that the moment is {M} {direction}, determine the tension in the cable.

Knowing that the tension in the cable is {T}, determine the magnitude of the moment $M$ .

Give any introductory information the student needs.

			Name	Type	Generated Value

C	vector	vector(12,24)
A	vector	vector(-24,20)
T	quantity	quantity(10, "lbs")
M	quantity	quantity(108, "in*lbs")
version	integer	1
answers	list	Nested 2×2 list
units	list	[ "in", "lb" ]

			Name	Type	Generated Value

applet	ggbapplet	HTML node
params	dict	Dictionary with 3 entries
debug	boolean	false

			Name	Type	Generated Value

L	quantity	quantity(31.240998703626616, "in")
alpha	number	46.1457628382
dperp	quantity	quantity(22.528031319268709618342165490112, "in")
direction	string	counterclockwise

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
vector(random(0..24#4),random(0..32#4))

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(12,24)

→ Used by:

alpha
direction
params

Variable testing condition

Parts

Answer Gap-fill
1. Gap Answer Engineering Accuracy with units
  Add

Gap-fill

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

{latex(answers[version][0])} = Answer

{answers[version][0]} = {siground(answers[version][1],5)}

Advice

Equate the applied moment $M$ to the moment produced by the force.

$\Sigma M_B = 0 \therefore M = F d_\perp$

Use geometry to find $d_\perp$ then solve for the unknown quantity.

Give a worked solution to the whole question.

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Part	Test	Passed?
Gap-fill
Gap-fill		Hasn't run yet
Engineering Accuracy with units
Engineering Accuracy with units		Hasn't run yet

This question is used in the following exams:

Chapter 5 Exercises by William Haynes in Engineering Statics.
Chapter 05 Exercises by Michael Proudman in Engineering Statics.
studio 4 - Chapter 5 Exercises by Jay McCormack in studio 4.
studio 4 - Chapter 5 Exercises by Jay McCormack in Jay's workspace.

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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William Haynes 2 years, 10 months ago

William Haynes 2 years, 10 months ago

William Haynes 2 years, 10 months ago

William Haynes 3 years, 11 months ago

William Haynes 6 years, 5 months ago

William Haynes 6 years, 7 months ago

William Haynes 6 years, 8 months ago

Error in variable testing condition

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Warning

Generated value: `vector`

Parts

Gap-fill

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Moment Balance: Tension in a cable

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

William Haynes 2 years, 10 months ago

William Haynes 2 years, 10 months ago

William Haynes 2 years, 10 months ago

William Haynes 3 years, 11 months ago

William Haynes 6 years, 5 months ago

William Haynes 6 years, 7 months ago

William Haynes 6 years, 8 months ago

Error in variable testing condition

Error

Warning

Generated value: vector

Parts

Gap-fill

Generated value: `vector`