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Answer :
The magnitude of the resultant force is determined as 31.78 N.
What is the resultant of the forces?
The resultant of the forces is calculated by applying the following formula as follows.
The sum of the x - component of the forces is calculated as;
X = ( F₁ + F₂ + F₃ ) x
X = 49 N x cos (45) + 29 N x cos (135) + 62 N x cos (225)
X = -29.7 N
The sum of the y - component of the forces is calculated as;
Y = ( F₁ + F₂ + F₃ ) y
Y = 49 N x sin (45) + 29 N x sin (135) + 62 N x sin (225)
Y = 11.31 N
The magnitude of the resultant force is calculated as follows;
R = √ ( Y² + X²)
R = √ ( 11.31² + ( -29.7 )² )
R = 31.78 N
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