Explanation Write the equation of moment of force about an arbitrary axis. M → 1 = λ 1 ( r → B / A × F → 2 ) (I) Here, the moment of force F → 2 about the line of action of F → 1 is M → 1 , the unit vector along the force F → 1 is λ 1 , the vector line drawn from A to B is r B / A , and the force acting about the line of action of F → 1 is F → 2 . Sketch the force acting about the line of action of F → 1 . Write the equation for the force for F → 1 . F → 1 = F 1 λ 1 Sketch the force acting about the line of action of F → 2 . Write the equation for the force for F → 2 . F → 2 = F 2 λ 2 Replace F 2 λ 2 for F → 2 in equation (I) and rewrite it. M → 1 = λ 1 ( r → B / A × λ 2 ) F 2 (II) Write the equation of moment of force about an arbitrary axis. M → 2 = λ 2 ( r → A / B × F → 1 ) (III) Here, the moment of force F → 1 about the line of action of F → 2 is M → 2 , the unit vector along the force F → 2 is λ 2 , the vector line drawn from B to A is r A / B , and the force in the space is F → 1 . Replace F 1 λ 1 for F → 1 in equation (III) and rewrite it

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ISBN: 9781260265453

Author: BEER

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Chapter 3.2, Problem 3.63P

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Whether the moment of force $F→1$ about the line of action of $F→2$ is equal to the moment of $F→2$ about the line of action of $F→1$ .

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Chapter 3.2, Problem 3.62P

Chapter 3.2, Problem 3.64P

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Whether the moment of force F → 1 about the line of action of F → 2 is equal to the moment of F → 2 about the line of action of F → 1 .

Solution Summary: The author compares the moment of force of stackrelto to the unit vector, the vector line, and the force acting about the line of action.

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Whether the moment of force $F→1$ about the line of action of $F→2$ is equal to the moment of $F→2$ about the line of action of $F→1$ .

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Chapter 3 Solutions