Vectors 4 with solution

Error

There was an error loading the page.

Contributors

Vladimir Vingoradov

Feedback

From users who are members of SFY0010 :

Vladimir Vingoradov

said

Ready to use

7 years, 7 months ago

History

○

Vladimir Vingoradov 4 years, 6 months ago

Published this.

○

Vladimir Vingoradov 7 years, 7 months ago

Gave some feedback: Ready to use

○

Vladimir Vingoradov 7 years, 7 months ago

Created this as a copy of Vectors 4.

There is only one version of this question that you have access to.

There are 6 other versions that do you not have access to.

Question statement

The cable stays AB and AD help support pole AC. Knowing that the tension is {tAB}N in AB and {tAD}N in AD,

Give any introductory information the student needs.

			Name	Type	Generated Value

tAB	integer	86
tAD	integer	122
R	number	172.0
gammaAB	number	38.66
gammaAD	number	30.96
a	number	41.67

Automatically regenerate variables?

Name

Data type

Value

A random number between and (inclusive) with step size

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`

This variable doesn't seem to be used anywhere.

Advice

$\tan \alpha=\frac{8}{10}\quad\Rightarrow\quad \alpha=\var{gammaAB}^\circ$

$\tan \beta=\frac{6}{10}\quad\Rightarrow\quad \beta=\var{gammaAD}^\circ$

(a) Using the triangle rule

$\alpha+\beta+\psi=180^\circ$

$\psi=180^\circ-\var{gammaAB}^\circ-\var{gammaAD}^\circ=110.38^\circ$

Using the rule of cosines

$R^2=T_{AB}^2+T_{AD}^2-2T_{AB}T_{AD}\cos\psi$

$R^2=\var{tAB}^2+\var{tAD}^2-2(\var{tAB})(\var{tAD})\cos 110.38^\circ$

$R=\var{R}\,\text{N}$ ◀

(b) Use the rule of sines

$\dfrac{\sin \gamma}{T_{AD}}=\dfrac{\sin \psi}{R}$

$\dfrac{\sin \gamma}{\var{tAD}\,\text{N}}=\dfrac{\sin 110.38^\circ}{\var{R}\,\text{N}}$

$\gamma=\var{a}^\circ$ ◀

Give a worked solution to the whole question.

URL
resources/question-resources/

Text alternative
URL
resources/question-resources/

Text alternative
URL
resources/question-resources/

Text alternative

Use this tab to check that this question works as expected.

There was an error which means the tests can't run:

Part	Test	Passed?
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet

This question is used in the following exams:

Homework 1 + Solutions by Vladimir Vingoradov in SFY0010.
NCM4 FE-F2022 UNIT 8 All by Terry Young in NCM4 FINAL EXAM Fall 2022.
All the good stuff by Chris Templet in Chris's workspace.

Loading...

Error

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Vladimir Vingoradov 4 years, 6 months ago

Vladimir Vingoradov 7 years, 7 months ago

Vladimir Vingoradov 7 years, 7 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Number entry

Advanced settings

Loading...

Error

Vectors 4 with solution

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Vladimir Vingoradov 4 years, 6 months ago

Vladimir Vingoradov 7 years, 7 months ago

Vladimir Vingoradov 7 years, 7 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Number entry

Advanced settings

Generated value: `integer`