HW4 Prob5

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Vladimir Vingoradov

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Vladimir Vingoradov 4 years, 4 months ago

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Vladimir Vingoradov 7 years, 4 months ago

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Vladimir Vingoradov 7 years, 5 months ago

Created this as a copy of HW4 Prob4.

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Question statement

An $\var{Q}\,\text{N}$ load $\mathbf{Q}$ is applied to the pulley C, which can roll on the cable ACB. The pulley is held in the position shown by a second cable CAD, which passes over the pulley A and supports a load $\mathbf{P}$ . Determine

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			Name	Type	Generated Value

Q	integer	1700
tACB	number	990.1
P	number	574.4
kacb	number	0.5801

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Generated value: `integer`

1700

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Free-Body Diagram

$\sum F_x=0$ : $T_{ACB}\cos 25^\circ-T_{ACB}\cos 55^\circ-P\cos 55^\circ=0$

$P=T_{ACB}\dfrac{\cos 25^\circ-\cos 55^\circ}{\cos 55^\circ}=\var{kacb}\,T_{ACB}$

$\sum F_y=0$ : $T_{ACB}\sin 25^\circ+T_{ACB}\sin 55^\circ+P\sin 55^\circ-Q=0$

$T_{ACB}=\dfrac{Q}{\sin 25^\circ+\sin 55^\circ+\var{kacb}\sin 55^\circ}=\var{tACB}\,\text{N}\quad\blacktriangleleft$

$P=\var{kacb}\,T_{ACB}=\var{P}\,\text{N}\quad\blacktriangleleft$

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This question is used in the following exam:

Homework 4 + Solutions by Vladimir Vingoradov in SFY0010.

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Vladimir Vingoradov 4 years, 4 months ago

Vladimir Vingoradov 7 years, 4 months ago

Vladimir Vingoradov 7 years, 5 months ago

Error in variable testing condition

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Generated value: `integer`

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HW4 Prob5

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Vladimir Vingoradov 4 years, 4 months ago

Vladimir Vingoradov 7 years, 4 months ago

Vladimir Vingoradov 7 years, 5 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Number entry

Advanced settings

Generated value: `integer`