Vectors 2 with solution

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Vladimir Vingoradov

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7 years, 7 months ago

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Vladimir Vingoradov 4 years, 5 months ago

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Vladimir Vingoradov 7 years, 7 months ago

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Vladimir Vingoradov 7 years, 7 months ago

Created this as a copy of Vectors 2.

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Question statement

A trolley that moves along a horizontal beam is acted upon by two forces as shown. Knowing that $\alpha=\var{a}^\circ$ ,

Give any introductory information the student needs.

			Name	Type	Generated Value

a	integer	35
P	number	2694.5
R	number	2621.3
b	integer	70

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Value

A random number between and (inclusive) with step size

Description

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Generated value: `integer`

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This variable doesn't seem to be used anywhere.

Advice

Using the triangle rule and the rule of sines

(a)

$\dfrac{1600\;\text{N}}{\sin \alpha}=\dfrac{P}{\sin 75^\circ}$

$P=\var{P}\;\text{N}$ ◀

(b)

$\alpha+\beta+75^\circ=180^\circ$

$\beta=180^\circ-\alpha-75^\circ=\var{b}^\circ$

$\dfrac{1600\;\text{N}}{\sin \alpha}=\dfrac{R}{\sin \var{b}^\circ}$

$R=(1600\;\text{N})\dfrac{\sin \var{a}^\circ}{\sin \var{b}^\circ}$

$R=\var{R}\;\text{N}$ ◀

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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.

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Vladimir Vingoradov 4 years, 5 months ago

Vladimir Vingoradov 7 years, 7 months ago

Vladimir Vingoradov 7 years, 7 months ago

Error in variable testing condition

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Generated value: `integer`

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Vectors 2 with solution

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, 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`