The following frame consists of couple moments M[sub]1 [/sub]and M[sub]2[/sub], and external forces F[sub]1[/sub] and F[sub]2[/sub].[br][br]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 [i]O[/i] on the diagram.[br][br]For all questions below, the following coordinate system will be used.[br][br][br] x is positive to the right [math]\text{+→}[/math][br][br][br] y is positive toward the top of the page [math]\text{+↑}[/math][br][br][br] positive moments produce a counterclockwise rotation [math]\text{+↺}[/math]
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 (F[sub]r[/sub])?[br]
If all external forces stay the same, what happens to the magnitude of the resultant moment (M[sub]r[/sub])[i][sub]O [/sub][/i]as the couple moments M[sub]1[/sub] and M[sub]2[/sub] are moved? [br][br]
Why does the magnitude of the resultant moment (M[sub]r[/sub])[i][sub]O [/sub][/i]remain unchanged as the couple moments are moved on the diagram?
Which of the following statements regarding the resultant moment (M[sub]r[/sub])[i][sub]O[/sub][/i] is true?
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. [br][br]Use the following information and interactive Figure to answer the following questions.[br]
Set F[sub]1[/sub] = 300 N at an angle of 75[sup]o [/sup]at point B, and F[sub]2[/sub] = 100 N at an angle of 0[sup]o [/sup]located at 3m in the +y direction from A. [br][br]Use this information to answer the questions below.
What is the approximate magnitude of the x-component of the resultant force F[sub]rx[/sub]?[br]
What is the approximate magnitude of the y-component of the resultant force F[sub]ry[/sub]?
What is the approximate magnitude of the resultant force F[sub]r[/sub] and its angle θ[sub]r[/sub]?
As the angle of F[sub]1[/sub] decreases, what happens to the magnitude of F[sub]r[/sub]?[br]
For what angle of F[sub]1[/sub], is the magnitude of θ[sub]r[/sub] a maximum?
If the location of force F[sub]2[/sub] is moved to A, what happens to the magnitude of F[sub]r[/sub]?[br]
Assuming all forces and their directions remain unchanged from above and M[sub]1[/sub] and M[sub]2[/sub] both equal 0, what is the correct expression for the resultant moment (M[sub]r[/sub])[i][sub]C [/sub][/i]at C?[br][br]
If M[sub]1[/sub] produces a clockwise rotation and M[sub]2[/sub] counterclockwise, and if F[sub]1[/sub] is set to 90[sup]o[/sup] at point B, and F[sub]2[/sub] remains unchanged, which expression for the resultant moment at D, (M[sub]r[/sub])[i][sub]D[/sub][/i] is correct?[br]
Set F[sub]2[/sub] and M[sub]2[/sub] to 0. [br]If F[sub]1[/sub] = 100 N at B at an angle of 90[sup]o[/sup], what will be the required direction and magnitude of M[sub]1[/sub]for a resultant moment M[sub]r[/sub] = 0 at point D?
Assuming everything stays the same, what will be the required direction and magnitude of M[sub]1[/sub] for a resultant moment M[sub]r[/sub] = 0 at point A?