HW3 Prob1

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Vladimir Vingoradov

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Question statement

Two cables are tied together at C and are loaded as shown. Knowing that $\alpha=\var{a}^\circ$ and $M=\var{M}\text{kg}$ , determine the tension (in N)

Give any introductory information the student needs.

			Name	Type	Generated Value

M	integer	210
a	integer	54
tAC	number	1213.9
tBC	number	1582.0
W	number	2060.1

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Generated value: `integer`

210

This variable doesn't seem to be used anywhere.

Advice

Free Body Diagram:

Force triangle:

$W=Mg=(\var{M}\,\text{kg}) (9.81\,\text{m}/\text{s}^2)=\var{W}\,\text{N}$

Law of sines:

$\dfrac{T_{AC}}{\sin (90^\circ-\alpha)}=\dfrac{T_{BC}}{\sin 50^\circ}=\dfrac{W}{\sin (40^\circ+\alpha)}$

(a) $T_{AC}=(\var{W}\,\text{N})\dfrac{\sin (90^\circ-\var{a}^\circ)}{\sin (40^\circ+\var{a}^\circ)}=\var{tAC}\,\text{N}\quad\blacktriangleleft$

(b) $T_{BC}=(\var{W}\,\text{N})\dfrac{\sin 50^\circ}{\sin (40^\circ+\var{a}^\circ)}=\var{tBC}\,\text{N}\quad\blacktriangleleft$

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This question is used in the following exam:

Homework 3 + Solutions by Vladimir Vingoradov in SFY0010.

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Taxonomy: mathcentre

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Vladimir Vingoradov 4 years, 5 months ago

Vladimir Vingoradov 7 years, 5 months ago

Vladimir Vingoradov 7 years, 6 months ago

Error in variable testing condition

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Generated value: `integer`

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HW3 Prob1

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Vladimir Vingoradov 4 years, 5 months ago

Vladimir Vingoradov 7 years, 5 months ago

Vladimir Vingoradov 7 years, 6 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Number entry

Advanced settings

Generated value: `integer`