A force is acting on a body making an angle of 30⁰ with the horizontal. The horizontal component of the force is 20 N. Find the force. (23.1 N)
Difficulty: Easy
Solution:
Angle θ = 30⁰ (with x-axis)
Horizontal component of force $F_{x}$ = 20 N
Force F = ?
$F_{x}$ = F cos θ
20 N = F cos 30⁰
20 N = $F \times 0.866$ (˙.˙ cos 30⁰ = 0.866)
F =$\frac{ 20 N}{0.866}$= 23.09
F = 23.1 N
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