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Questions and Answers
What is the formula for the horizontal component of a force along the x-axis?
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?
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?
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?
What is the formula for the resultant of non-concurrent force system in the y-direction?
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In which quadrant does the resultant lie if $\sum F_x = +$ and $\sum F_y = -$?
In which quadrant does the resultant lie if $\sum F_x = +$ and $\sum F_y = -$?
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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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