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Solved: Combined force An object at the origin is acted on

Chapter 12, Problem 16RE

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QUESTION:

Combined force  An object at the origin is acted on by the forces \(\mathbf{F}_{1}=-10 \mathbf{i}+20 \mathbf{k}\), \(\mathbf{F}_{2}=40 \mathbf{j}+10 \mathbf{k}\), and \(\mathbf{F}_{3}=-50 \mathbf{i}+20 \mathbf{j}\). Find the magnitude of the combined force and describe with a sketch the direction of the force.

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QUESTION:

Combined force  An object at the origin is acted on by the forces \(\mathbf{F}_{1}=-10 \mathbf{i}+20 \mathbf{k}\), \(\mathbf{F}_{2}=40 \mathbf{j}+10 \mathbf{k}\), and \(\mathbf{F}_{3}=-50 \mathbf{i}+20 \mathbf{j}\). Find the magnitude of the combined force and describe with a sketch the direction of the force.

ANSWER:

Solution 16RE
Step 1:

Given: F1 = −10 i + 20 k, F2 = 40 j+ 10 k, and F3 = −50i + 20j
The combined force

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