Problems
Solve
Perpendicular Axes as a Special Case

Solve Problem

Solve the problem, check your answers and follow the solution step by step.

Perpendicular Axes as a Special Case

ID: h3kqjd351k

Problem: A 400 N force makes \(35^\circ\) with the \(u\) axis. The \(v\) axis is perpendicular to \(u\). Find \(F_u\) and \(F_v\), and check that they equal \(F\cos 35^\circ\) and \(F\sin 35^\circ\).

H4M Teamyesterday

Warm-up

Saved:0

Shares:0

Comments:0

Total Votes:0

Solve & Check Your Answer

Calculate and enter your result to verify your solution against tolerance thresholds.

2 Answer Field(s)

Problem Solved on Attempt #1!Solved (Attempt #1)

Congratulations! Your solution has been successfully verified. The correct answers are confirmed below.Solution verified successfully.

Answer RevealedAnswer Revealed

You have revealed the answer for this problem. Further answer submissions are disabled.Answers unlocked for review.

Attempt #1

Attempts Remaining: 3/3 3/3 Attempts

F_u

\text{N}

(Tolerance: ±2%)(±2%)

F_v

\text{N}

(Tolerance: ±2%)(±2%)

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

Scientific & Engineering Notation

You can enter answers using standard decimals, scientific notation (e.g. 2e4, 2e-4), or powers of 10 (e.g. 2*10^4). Both dot (.) and comma (,) are accepted as decimal separators.

20 000→ 2e4 or 2*10^4

0.0002→ 2e-4 or 2*10^-4

2,5 / 2.5→ '.' or ',' accepted

Authentication Required

You need to be a logged-in member to submit solutions and track your performance.

Problem Statistics

Community performance metrics

AI Difficulty Index

0/150/5 users

Calibrating...

Requires at least 15 attempts across 5 solvers to calibrate (0/15 attempts, 0/5 solvers recorded).

0 Solvers0 Revealed

0 Total Attempts0 Attempts

Overall SuccessSuccess Rate0%

1st Attempt Success1st Attempt0%

Within 3 Attempts≤ 3 Attempts0%

Answer RevealedRevealed0%

Average AttemptsAvg. Attempts0.0 attempts0.0

No attempts yet

Be the first to attempt this problem and set the benchmark for the community!

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

Step-by-Step Solution

Detailed walkthrough and theoretical explanation

Contributors

Community members

Content Editors

H4M Team

Problem Creator

Gökhan Adıyaman

Approving Editor

Keep learning

Notes, problems and apps on the same topics

See all

Notes 8 Problems 8 Apps 7 Sets 1

Undergraduate

Resolving a Force into Components Along Two Axes

Split a force into components along any two given directions, and see why oblique components are not projections.

Undergraduate

yesterday

Basic

Undergraduate

Adding Forces: Parallelogram Law and Triangle Rule

Find the resultant of two or more forces with the parallelogram law, the triangle rule and the laws of sines and cosines.

Undergraduate

yesterday

Basic

Undergraduate

Rectangular Components of a Force in 2D

Write a force by its x and y components, in scalar and Cartesian vector form, and get its magnitude and direction back.

Undergraduate

yesterday

Basic

Undergraduate

Dot Product: Angle Between Vectors and Projection of a Force

Use the dot product to find the angle between two lines and the parallel and perpendicular components of a force.

Undergraduate

yesterday

Advanced

Undergraduate

Resultant of Coplanar Forces by Rectangular Components

Add any number of coplanar forces by summing x and y components, and find an unknown force from a known resultant.

Undergraduate

yesterday

Basic

Undergraduate

Scalars and Vectors in Statics

What makes force a vector, how vectors are drawn and written, and how free, sliding and fixed vectors differ.

Undergraduate

yesterday

Basic

Undergraduate

Cartesian Vectors in 3D: Components and Direction Angles

Describe a force in 3D with i, j, k components, its magnitude, coordinate direction angles and unit vector.

Undergraduate

yesterday

Basic

Undergraduate

Force Vector Directed Along a Line Using Position Vectors

Write a cable or rope force as a Cartesian vector from the coordinates of two points, using position and unit vectors.

Undergraduate

yesterday

Basic

Warm-up

Force Components on Oblique Axes

Warm-up

yesterday

Warm-up

A Force on the Bisector

Warm-up

yesterday

Warm-up

Components and Projections

Warm-up

yesterday

Warm-up

A Lamp on Two Wires

Warm-up

yesterday

Warm-up

A Wall Bracket

Warm-up

yesterday

Warm-up

Workout

Pulling Out a Stump

Workout

yesterday

Workout

Two Cranes, One Panel

Workout

yesterday

Workout

A Sign on Two Chains

Workout

yesterday

Workout

Solver

Force Resolver: Split a Force Along Any Two Directions

Split a force into two parts along any two directions, perpendicular or not, or into x and y parts from an angle or a slope, with every step shown on the drawing.

Solver

yesterday

HTML5 / JavaScript

Simulator

Force Addition Lab: Parallelogram, Triangle and Polygon Rules

Drag two or more forces and watch their resultant appear by the parallelogram, triangle or polygon rule, with the magnitude and direction worked out live.

Simulator

yesterday

HTML5 / JavaScript

Solver

Coplanar Force Resultant: Table, Polygon and Missing Force

Add any number of forces in a plane with a clear component table and a force polygon, or find the force that is missing, that balances the others or that turns the resultant to a wanted direction.

Solver

yesterday

HTML5 / JavaScript

Visualizer

Dot Product Visualizer: Angles and Projections in 3D

See what the dot product means: the angle between two directions and the part of a force along a line, drawn in 3D with its perpendicular part and a right-angle mark.

Visualizer

yesterday

HTML5 / JavaScript

Tool

Moment and Torque Converter

Convert moments and torques between N·m, N·mm, kN·m, lbf·in, lbf·ft, kip·ft, kgf·m and more, with exact factors and the steps shown.

Tool

4 days ago

HTML5 / JavaScript

Tool

Angle Converter

Convert angles between degrees, radians, degrees-minutes-seconds, gradians and turns, with exact π-based factors and the steps shown.

Tool

4 days ago

HTML5 / JavaScript

Visualizer

3D Force Vector Builder: Angles, Two Points and Sums

Build a force in space from its components, its three direction angles, two angles or two points, turn the 3D view with the mouse, and add several forces into one.

Visualizer

yesterday

HTML5 / JavaScript

Study Set15 items

Introduction to Statics: Concepts, Principles and Units

Start statics here: its basic models and principles, SI and U.S. units, and a five-step method for solving problems, with practice problems and unit converters.

Study Set15 items

H4M Team

yesterday

5 note10 problem