Question

the rectangular components of force of 13N are​

Answer 1

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The rectangular components of 13 N are

(i) 13 sin theta ___ the other one which is perpendicular to the force 13N

(ii) 13 cos theta __ which makes angle theta with the force of 13N

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Answer 2

Concept:

• Vector addition
• Splitting a vector into its horizontal and vertical components
• Force is a vector quantity, it has both magnitude and direction
• We will also apply Pythagoras' Theorem
• x and y components of the vector are the rectangular components

Given:

• The force has a magnitude of 13 N
• F = 13 N

Find:

• The horizontal component x and vertical component y of the force vector

Solution:

• F = vector addition of x and y component
• F = √(x²+y²)
• 13 = √(x²+y²)
• 13² = x²+y²
• 169 = x²+y²

• 169 = 25 +144
• 25 = 5², 144 = 12²
• 13² = 5² + 12²

The rectangular components of the force of 13 N are 5 N and 12 N.

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