Resolution of a Vector - Physics Class

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Questions and Answers

What is the horizontal component of a 5 N force inclined at an angle of 37°?

6 N
3 N
4 N (correct)
5 N

The vertical component of a vector can be calculated using the formula $A_y = A imes ext{cos } heta$.

False (B)

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.

<p>cos θ</p> Signup and view all the answers

Match the following terms with their correct descriptions:

<p>Scalar = A quantity with only magnitude Vector = A quantity with both magnitude and direction Resultant = The vector sum of other vectors Component = One part of a vector in a specific direction</p> Signup and view all the answers

Flashcards

Vector Resolution

Breaking down a single vector into two or more perpendicular component vectors.

Horizontal Component

The component of a vector that lies along the horizontal axis.

Vertical Component

The component of a vector that lies along the vertical axis.

Trigonometric Resolution

The process of resolving a vector into components using trigonometric functions (sine and cosine).

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Resultant Force

The single force that has the same effect as all the forces acting on an object.

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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 (F_x) = 5 N * cos 37° = 4 N
Vertical component (F_y) = 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.