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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Two Unknown Pulls and a Vertical Resultant

ID: ovdlag13bf

Problem: A known force \(\mathbf{F}_1 = \{300\,\mathbf{i} - 200\,\mathbf{j} + 150\,\mathbf{k}\}\,\text{N}\) acts on a ring. Rope A pulls along \(-x\) and rope B pulls along the direction of \(\{3\,\mathbf{j} - 4\,\mathbf{k}\}\), turned so that it points toward \(+y\). Find the rope forces for which the resultant of all three is vertical, and the resultant.

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3 Answer Field(s)
3/3 Attempts
#1
F_A
\text{N}
#2
F_B
\text{N}
#3
F_R
\text{N}\ \text{downward}
Scientific notation supported (e.g. 2e4, 2e-4)

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