Find the perpendicular components of a force of 50 N making an angle of 30° with x-axis. Ans. (43.3 N, 25 N)


Given:  

Force = F = 50 N
Angle = 𝜭 = 30°


To Find:

Horizontal Component of Force  = Fx =   ? 
Vertical Component of Force  = Fy =   ? 

Solution:  

The equation for Horizontal Component Fx is

Fx = F Cos 𝜭

by putting values

Fx = 50 N ｘ Cos(30°)

Fx = 50 N ｘ 0.866   

Fx = 43.3 N

And The equation for Vertical Component Fy is

Fy = F Sin 𝜭

by putting values

Fy = 50 N ｘ Sin(30°)

Fy = 50 N ｘ 0.5   

Fy = 25 N  

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