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Components in Two Systems

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Components in Two Systems

ID: lefbv21i6z

Problem: A 2 kN force acts at \(250^\circ\), measured counterclockwise from \(+x\). Find its components along \(x\) and \(y\), and along \(x'\) and \(y'\) axes rotated \(30^\circ\) clockwise from \(x\) and \(y\).

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F_x

\text{kN}

(Tolerance: ±2%)(±2%)

F_y

\text{kN}

(Tolerance: ±2%)(±2%)

F_{x'}

\text{kN}

(Tolerance: ±2%)(±2%)

F_{y'}

\text{kN}

(Tolerance: ±2%)(±2%)

Scientific notation supported (e.g. 2e4, 2e-4)

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20 000→ 2e4 or 2*10^4

0.0002→ 2e-4 or 2*10^-4

2,5 / 2.5→ '.' or ',' accepted

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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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