Question

The force is acting at an angle of 60° x-axis if the x-component of the force is 50 N, Find the resultant force and y-component of the force ?

Answer 1

Hello Dear.

Here given that Force at x component is 50 N.

Fx= 50 N .
So we have to find the resultant force ,
R = Fx + Fy
Here the resultant direction is 60° from x axis.

∴ Fx = R cos (60°)
  50 N = R cos (60°)
  50 = R (1/2)
  R = 100 N.

So , applying same process.

Fy = R sin(60°)
Where Fy is the force at Y component.
Fy = 100 sin (60°)
Fy = 100 (√3 / 2)
Fy = 86.6 N.

Hence Resultant force R is 100 N & Force at Y component Fy is 86.6 N.

Answer 2

Heya.......!!!

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- Given in Tye Questions :-

• Angle at which force is acting = 60°
• x - component of force = 50 N

Let x - component of Force be Fx
Let y - component of Force be Fy
Let resultant force be Fr


=> Fx = Fr ( Cos60° ) ....................(i )
=> Fy = Fr ( Sin60° ) ..................(ii )

from equation ( i ) we can take out Resultant Force ( Fr )

Here - Fx = 50 N

=> 50 N = Fr ( Cos 60° )
=> 50 N = Fr × 1 / 2

★ Fr = 100 N

Resultant Force = 100 N .

Now from eq.( ii ) we can take out y - component of Force .

=> Fy = Fr ( Sin60° )
=> Fy = 100 × ( Sin60° )
=> Fy = 100 × √3 / 2
=> Fy = 50 √3

★ Fy = 86.602 N .

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Hope It helps You ☺