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Resultant Systems

Author:Ana Kwon
The following frame consists of couple moments M1 and M2, and external forces F1 and F2. Click and drag the red dots of each external force to move it to a new location on the diagram. Click and drag to set the resultant system to any location O on the diagram. For all questions below, the following coordinate system will be used.             x is positive to the right             y is positive toward the top of the page             positive moments produce a counterclockwise rotation

Conceptual Questions - Resultant Systems

Use the interactive Figure above to answer the following questions.

Assuming no change in magnitude or angle, how does the location of an external force affect the resultant force (Fr)?

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If all external forces stay the same, what happens to the magnitude of the resultant moment (Mr)O as the couple moments M1 and M2 are moved?

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Why does the magnitude of the resultant moment (Mr)O remain unchanged as the couple moments are moved on the diagram?

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Which of the following statements regarding the resultant moment (Mr)O is true?

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Use the Figure to Determine the Resultant Moment and Force

In the interactive Figure above, click and drag the red dot to move each of the external forces, couple moments, and the location of the resultant equivalent system. Use the following information and interactive Figure to answer the following questions.
Set F1 = 300 N at an angle of 75o at point B, and F2 = 100 N at an angle of 0o located at 3m in the +y direction from A. Use this information to answer the questions below.

What is the approximate magnitude of the x-component of the resultant force Frx?

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What is the approximate magnitude of the y-component of the resultant force Fry?

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What is the approximate magnitude of the resultant force Fr and its angle θr?

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As the angle of F1 decreases, what happens to the magnitude of Fr?

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For what angle of F1, is the magnitude of θr a maximum?

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If the location of force F2 is moved to A, what happens to the magnitude of Fr?

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Assuming all forces and their directions remain unchanged from above and M1 and M2 both equal 0, what is the correct expression for the resultant moment (Mr)C at C?

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If M1 produces a clockwise rotation and M2 counterclockwise, and if F1 is set to 90o at point B, and F2 remains unchanged, which expression for the resultant moment at D, (Mr)D is correct?

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Set F2 and M2 to 0. If F1 = 100 N at B at an angle of 90o, what will be the required direction and magnitude of M1for a resultant moment Mr = 0 at point D?

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Assuming everything stays the same, what will be the required direction and magnitude of M1 for a resultant moment Mr = 0 at point A?

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