Calculating Force F3: Magnitude & Direction

AI Thread Summary
The discussion focuses on calculating the magnitude and direction of force F3 acting on a block subjected to three concurrent forces. The resultant force is given as 20.0 N at 0°, with F1 at 10.0 N at 40° and F2 at 20.0 N at 180°. The user has successfully calculated the x and y components of F1 but is uncertain how to determine the components of F3. They recognize that the sum of all forces must equal the resultant force and plan to use the Pythagorean theorem to find F3's magnitude. The conversation emphasizes the importance of vector components in solving for the unknown force.
teh81
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Homework Statement



Three concurrent forces, F1, F2 and F3, act on a block that is placed on a
horizontal surface. The resultant force on the block is 20.0 N at 0°. If F1 = 10.0 N
at 40° and F2 = 20.0 N at 180°, calculate the magnitude and direction of the force
F3. Sketch a vector diagram (not to scale) illustrating your solution.
 
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What have you tried so far?
 
i drew the forces on the block.
then i found the f1 on x and y component ..
f1x= 10cos40 = 7.67N
f1y= 10sin40 = 6.43N
i know that the sum of all forces will give me 20n, is that right?
and .. the f2 is pushing the block in side < ----
but I am not sure how find the f3 on x and y component..
if i found it,
i know that i have to plug in
f3=sqrt(f3x^2+f3y^2)
 
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