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One force of 100 units acts on an object . another force of 80 units acts on the object at a 40 degree angle from the first force. Find the magnitude and direction of the resultant force on the object.

physics
 Sep 18, 2014

Best Answer 

 #1
avatar+33653 
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If we take the first force as acting in the x-direction then the x-component of the resulting force is 

Fx = 100 + 80*cos(40°)

The y-component of the resulting force is

Fy = 80*sin(40°)

 

The magnitude of the resulting force is 

F = √(Fx2 + Fy2)

and the angle to the x-axis is

θ = tan-1(Fy/Fx)

 

I'll leave you to fill in the numbers.

 Sep 18, 2014
 #1
avatar+33653 
+5
Best Answer

If we take the first force as acting in the x-direction then the x-component of the resulting force is 

Fx = 100 + 80*cos(40°)

The y-component of the resulting force is

Fy = 80*sin(40°)

 

The magnitude of the resulting force is 

F = √(Fx2 + Fy2)

and the angle to the x-axis is

θ = tan-1(Fy/Fx)

 

I'll leave you to fill in the numbers.

Alan Sep 18, 2014

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