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Questions and Answers

What is the formula for the horizontal component of a force along the x-axis?

$F_x = F \cos\theta$ (correct)
$F_x = F \sin\theta$
$F_x = F \tan\theta$
$F_x = F/\theta$

In which type of force system do the line of action of all forces meet at a point?

Coplanar forces
Concurrent forces (correct)
Parallel forces
Collinear forces

What does the formula $R = \sqrt{\sum F_x^2 + \sum F_y^2}$ represent?

Resolution of force
Resultant of forces (correct)
Sum of y components of all forces
Sum of x components of all forces

What is the formula for the resultant of non-concurrent force system in the y-direction?

<p>$\sum F_y = F_1 \sin\theta_1 - F_2 \sin\theta_2 + F_3 \sin\theta_3$ (C)</p> Signup and view all the answers

In which quadrant does the resultant lie if $\sum F_x = +$ and $\sum F_y = -$?

<p>Quadrant III (B)</p> Signup and view all the answers

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Study Notes

Force Components

The horizontal component of a force along the x-axis is represented by the formula Fx.

Concurrent Force Systems

In a concurrent force system, the lines of action of all forces meet at a single point.

Resultant Force

The formula $R = \sqrt{\sum F_x^2 + \sum F_y^2}$ represents the magnitude of the resultant force.

Resultant in Non-Concurrent Force System

The formula for the resultant of a non-concurrent force system in the y-direction is Fy.

Resultant Quadrant

If the sum of forces in the x-direction is positive (∑Fx = +) and the sum of forces in the y-direction is negative (∑Fy = -), the resultant force lies in the 4th quadrant.

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