A force is acting on a body making an angle of 30° with the horizontal. The horizontal component of the force is 20 N. Find the force. Ans. (23.1 N)


Given:  

Angle = 𝜭 = 30°
Horizontal Component of Force  = Fx =   20 N

To Find:

The magnitude of the Force  = F =   ?
 

Solution:  

The equation for Horizontal Component Fx is

Fx = F Cos 𝜭

or

F = `\frac {Fx}{Cos Ө}`

by putting values

F = `\frac {20 N}{Cos(30°)}`

F = `\frac {20 N}{0.866}`

F = `\frac {20 N}{0.866}`  

F = 23.09 N

F = 23.1 N

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