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From Components Back to the Force

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From Components Back to the Force

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Problem: The components of a force along the \(u\) and \(v\) axes are \(F_u = 400\,\text{N}\) and \(F_v = 250\,\text{N}\), and the angle between the axes is \(70^\circ\). Find the force, its angle from \(u\), and its perpendicular projections on \(u\) and \(v\).

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F

\text{N}

(Tolerance: ±2%)(±2%)

\theta_u

^{\circ}

(Tolerance: ±2%)(±2%)

\text{proj}_u

\text{N}

(Tolerance: ±2%)(±2%)

\text{proj}_v

\text{N}

(Tolerance: ±2%)(±2%)

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Sources & References

Reference materials

Engineering Mechanics: Statics

R. C. Hibbeler

2021•Pearson

Ch. 2, §2.3 Vector Addition of Forces (Finding the Components of a Force)

Vector Mechanics for Engineers: Statics

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

2019•McGraw-Hill Education

Ch. 2, §2.1 Addition of Planar Forces (Resolution of a Force into Components)

Engineering Mechanics: Statics

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

2018•John Wiley & Sons

Ch. 2, Art. 2/2 Force (Vector Components), Art. 2/3 Rectangular Components

Engineering Mechanics: Statics

A. Bedford, W. Fowler

2004•Pearson Prentice Hall

Ch. 2, §2.2 Rules for Manipulating Vectors (Vector Components)

Engineering Statics: Open and Interactive

D. W. Baker, W. Haynes

2026

Ch. 2, §2.6 Vector Addition

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