Hub 4 Mech
Problem SetForce Vectors Problem Set160 force vector problems with step-by-step solutions, from the parallelogram law to the dot product: 6 warm-ups, 10 workouts and 4 challenges on each topic.
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Smallest Force for a Vertical Resultant

ID: zctt8selh2

Problem: A force \(\mathbf{F}_1 = \{600\,\mathbf{i} + 200\,\mathbf{j} - 300\,\mathbf{k}\}\,\text{N}\) acts on a bracket. Find the force \(\mathbf{F}_2\) of smallest magnitude for which the resultant of the two forces is vertical. What is the resultant?

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5 Answer Field(s)
3/3 Attempts
#1
F_{2x}
\text{N}
#2
F_{2y}
\text{N}
#3
F_{2z}
\text{N}
#4
F_2
\text{N}
#5
F_R
\text{N}\ \text{downward}
Scientific notation supported (e.g. 2e4, 2e-4)

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