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Components and Projections

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Components and Projections

ID: dxyt8kkc0t

Problem: A 500 N force makes \(20^\circ\) with the \(u\) axis and \(50^\circ\) with the \(v\) axis, lying between them. Find the components \(F_u\) and \(F_v\), and the perpendicular projections of the force on \(u\) and on \(v\).

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F_u

\text{N}

(Tolerance: ±2%)(±2%)

F_v

\text{N}

(Tolerance: ±2%)(±2%)

F\cos 20^\circ

\text{N}

(Tolerance: ±2%)(±2%)

F\cos 50^\circ

\text{N}

(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, §2.3 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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