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Questions and Answers
What is the horizontal component of a 5 N force inclined at an angle of 37°?
What is the horizontal component of a 5 N force inclined at an angle of 37°?
The vertical component of a vector can be calculated using the formula $A_y = A imes ext{cos } heta$.
The vertical component of a vector can be calculated using the formula $A_y = A imes ext{cos } heta$.
False
What is the process of sub-dividing a vector into its components called?
What is the process of sub-dividing a vector into its components called?
Resolution of a vector
The x-component of a vector can be expressed as $A_x = A imes ext{______}$ where $ heta$ is the angle with the horizontal.
The x-component of a vector can be expressed as $A_x = A imes ext{______}$ where $ heta$ is the angle with the horizontal.
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Match the following terms with their correct descriptions:
Match the following terms with their correct descriptions:
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Study Notes
Resolution of a Vector
- Vectors can be added to find a resultant vector
- Vectors can be divided into smaller vectors (components)
- Resolving a vector into components is called resolution
- Components are perpendicular
- X-component = A * cos θ (horizontal)
- Y-component = A * sin θ (vertical)
Example (Force)
- Force (F) = 5 N
- Angle (θ) = 37°
- sin 37° = 0.6
- cos 37° = 0.8
- Horizontal component (Fx) = 5 N * cos 37° = 4 N
- Vertical component (Fy) = 5 N * sin 37° = 3 N
Reviewed Exercise
- Exercise includes vector operations like addition and subtraction
- (i) A + B
- (ii) 2A + B
- (iii) B - A
- Another exercise involves finding the resultant force of two forces acting in different directions.
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Description
Test your understanding of vector resolution, including how to break down a vector into its components. This quiz covers vector addition, subtraction, and calculating horizontal and vertical components of forces. Get ready to apply your knowledge to solve practical exercises!
