a vector of 10 N acts at a point making an angle 30degree with the horizontal .what are the horizontal and vertical components of vector
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Given:
Force Vector = 10N
Angle made by the vector with the horizontal x-axis = 30°
To find:
It's horizontal and vertical components.
Solution:
We can find out the components by using Pythagoras Theorem.
For the horizontal component of the vector:
cos 60° = Fx/ 10
Fx = 10 cos60°
Fx = 5N
For the vertical component of the vector:
sin 60° = Fy/10
Fy = 10 sin60°
Fy =5√3N
Therefore, the horizontal and vertical component of the vector are 5 N and 5√3 N respectively.
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