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Choosing the Axes

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Choosing the Axes

ID: nnh3dyx918

Problem: An 800 N force acts at \(30^\circ\) counterclockwise from \(+x\). The \(x'\) axis is obtained by rotating \(x\) counterclockwise by an angle \(\theta\) between \(0^\circ\) and \(90^\circ\). Find \(\theta\) so that \(F_{x'} = 600\,\text{N}\), and the corresponding \(F_{y'}\).

H4M Team3 hours ago

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\theta

^{\circ}

(Tolerance: ±2%)(±2%)

F_{y'}

\text{N}

(Tolerance: ±2%)(±2%)

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20 000→ 2e4 or 2*10^4

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Sources & References

Reference materials

Engineering Mechanics: Statics

R. C. Hibbeler

2021•Pearson

Ch. 2, §2.4 Addition of a System of Coplanar Forces (Scalar Notation, Cartesian Vector Notation)

Vector Mechanics for Engineers: Statics

F. P. Beer, E. R. Johnston Jr., D. F. Mazurek

2019•McGraw-Hill Education

Ch. 2, §2.2 Adding Forces by Components

Engineering Mechanics: Statics

J. L. Meriam, L. G. Kraige, J. N. Bolton

2018•John Wiley & Sons

Ch. 2, Art. 2/3 Rectangular Components

Engineering Mechanics: Statics

A. Bedford, W. Fowler

2004•Pearson Prentice Hall

Ch. 2, §2.3 Components in Two Dimensions

Engineering Statics: Open and Interactive

D. W. Baker, W. Haynes

2026

Ch. 2, §2.3 2D Coordinate Systems & Vectors, §2.5.1 Cartesian Unit Vectors

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