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Solution 4.5d
From Mechanics
Using F2=H2+V2
and
tan
=VH
Here
V=−7 N and
H=−5 N.
Substituting the given values
F2=
−5
2+
−7
2=74
giving
F=8
6 N
Also
tan
=−5−7=1.4
giving
=−125.5
Here the solution in the third quadrant has been chosen.