If
a force of 15N makes an angle of 45° with the horizontal . find the horizontal and vertical components
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Question
If a force of 15N makes an angle of 45 degree with the horizontal find the horizontal and vertical components ?
Solution
Given,
- Force = 15Newton
- 45° angle with the horizontal
To find ,
- the horizontal and vertical component ?
Concept -
- here we have the force of 15 Newton make angles of 45 degree with the horizontal we are given here the horizontal and vertical components to find . for which we have to use the formula of vertical component and the horizontal component . by only using the formula for vertical component and horizontal component we can find the answers .
Now ,
- vertical component formula = Force × sin45
- horizontal component formula = Force × cos45
by using this formula we get the value ;
Vertical components -
- Force × sin45
= 15 × 1/√2
= 15×√2/2
Hence , the vertical component is 15(√2/2).
Horizontal components -
- Force × cos45
= 15×1/√2
= 15×(√2/2)
Hence , the horizontal component is 15(√2/2) .
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