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Forces are [ ] when their lines of action pass through the same point.

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Forces are concurrent when their lines of action pass through the same point.

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The resultant force is the [ ] of the individual forces.

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The resultant force is the vector sum of the individual forces.

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Why must forces generally be combined using vector addition?

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Force has both magnitude and direction.

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What happens when two forces act in the same direction?

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The forces reinforce one another.

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What happens when two forces act in opposite directions?

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The forces partially or completely cancel.

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A signed resultant is $-5$ N when right is positive. State the force fully.

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5 N to the left.

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A particle is in equilibrium when $\\text{[...]}$.

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A particle is in equilibrium when $\\boxed{\\mathbf{R}=\\mathbf{0}}$.

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What does a zero resultant imply about a particle's acceleration?

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Its acceleration is zero.

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Find the resultant of 15 N right, 9 N left and 2 N left.

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4 N to the right.

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A 2-D resultant with horizontal component $R_x$ and vertical component $R_y$ is $\\text{[...]}$.

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A 2-D resultant with horizontal component $R_x$ and vertical component $R_y$ is $\\boxed{\begin{pmatrix}R_x\\R_y\\end{pmatrix}}$.

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How are several forces combined in two perpendicular directions?

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Sum horizontal components separately from vertical components.

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The magnitude of $\textbf{R}=\begin{pmatrix}R_x\\R_y\\end{pmatrix}$ is $\\text{[...]}$.

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The magnitude of $\textbf{R}=\begin{pmatrix}R_x\\R_y\\end{pmatrix}$ is $\\boxed{\\sqrt{R_x^2+R_y^2}}$.

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Find the magnitude of a resultant with components 5 N and 12 N.

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13 N.

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For an angle $\theta$ measured from the positive horizontal, $\\text{[...]}$.

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For an angle $\t

3.4.4 Resultant of concurrent forces Flashcards

3.4.4 Resultant of concurrent forces Flashcards