Solve Resultant Forces Homework Problem 1.23 | Attached Figure & Variables

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The discussion revolves around solving Problem 1.23 related to resultant forces, where the resultant is given as 4 m/s to the right. The user attempts to resolve the vectors into x and y components, using the equations for the sum of x and y components. There is a correction noted regarding the second equation, which should include a minus sign. The user seeks confirmation on their approach to the equations. The conversation emphasizes the importance of accurately resolving vector components to solve the problem effectively.
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Homework Statement


See Attachments for Figure and Given Variables

Homework Equations


R^2 = Fx^2 + Fy^2
@=tan^-1 (Fy/Fx)

The Attempt at a Solution


I've already solved problem 1.22
I just need help at Problem 1.23
in problem 1.23
given the resultant as 4m/s, to the right
I tried solving it
4^2 = Fx^2 + Fy^2
But i can't seem to proceed from here.
I need help
 

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Try resolving the two vectors into components in the x and y directions. The sum of the x components has to equal 4, and the sum of the y components has to equal zero.
 
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sum of x = V1cos60 + v2cos30 = 4?
and
sum of y = v1sin60+v2sin30 = 0?
Corrent me if I am wrong.
 
MrMechanic said:
sum of x = V1cos60 + v2cos30 = 4?
and
sum of y = v1sin60+v2sin30 = 0?
Corrent me if I am wrong.
The 2nd eqn. should have a minus sign. See the figure.

Otherwise, great job.

Chet
 
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