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]Use the interactive Figure to click and drag the red dots to move the couple moments and external forces along the frame. [br][br]The following coordinate system will be used.[br][br] x is positive to the right [math]+\text{→}[/math][br][br] y is positive toward the top of the page [math]+\text{↑}[/math][br] [br] positive moments produce a counterclockwise rotation [math]+\text{↺}[/math][br]
Use the interactive Figure to determine the equivalent resultant moment and force on each member of the frame.
For the following questions, set F[sub]1[/sub] and F[sub]2[/sub] such that they only have components in the -y and -x directions, respectively.[br][br]If F[sub]1[/sub] is translated 2 units to the left (the -x direction), what will happen to the magnitude of F[sub]r[/sub]?[br]
Translating F[sub]1 [/sub]2 units to the left (the -x direction) will have what effect on the location of F[sub]r[/sub]?
Translating F[sub]1 [/sub]2 units to the right (the +x direction) will have what effect on the location of F[sub]r[/sub]?
Translating F[sub]2 [/sub]2 units toward support A (the -y direction) will have what effect on the location of F[sub]r[/sub]?
If F[sub]1[/sub] is translated 2 units to the right (the +x direction), what will happen to θ[sub]r[/sub]?
If F[sub]1 [/sub]and F[sub]2[/sub] only have components in the -y and -x directions, respectively, the correct expression for the magnitude of the resultant force F[sub]r [/sub]on member CD will be,
The correct expression for the angle θ[sub]r [/sub]measured from the horizontal to F[sub]r [/sub]is,
For the following questions, set F[sub]1y[/sub] = -200 N located at 3m in the -x direction from D, and F[sub]2x[/sub] = -200 N located at 3m in the +y direction from A.
Given the above information, what is the correct expression for the location of F[sub]r[/sub] on member CD from point C?
Where, along member CD, should F[sub]1[/sub] be located for F[sub]r[/sub] to be located at a distance of +4 m in the +x direction from C?
Given the above information, what is the correct expression for the location of F[sub]r[/sub] on member AB from point A?
Where, along member AB, should F[sub]2[/sub] be located for F[sub]r[/sub] to be located at a distance of +2 m in the +y direction from A?
Use the interactive Figure to answer the following questions.
Moving the location of couple moment M[sub]1[/sub] from point C to B has what effect on the location of F[sub]r[/sub]?
Moving the location of couple moment M[sub]2[/sub] from point A to B has what effect on the location of F[sub]r[/sub]?
If M[sub]1[/sub] is the only couple moment acting on the frame, what effect will an increase in M[sub]1 [/sub]have on the location of F[sub]r[/sub] along member CD?[br]
If M[sub]1[/sub] is the only couple moment acting on the frame, what effect will a decrease in M[sub]1 [/sub]have on the location of F[sub]r[/sub] along member CD?[br]
If M2 is the only couple moment acting on the frame, what effect will an increase in M[sub]2 [/sub]have on the location of F[sub]r[/sub] along member CD?[br]
If M2 is the only couple moment acting on the frame, what effect will a decrease in M[sub]2 [/sub]have on the location of F[sub]r[/sub] along member CD?[br]
Use the following information to answer the questions below: [br][br] set M[sub]1[/sub] = 200 Nm[br] set F[sub]1y[/sub] = -100 N located at 4 m in the +x direction from point C[br] set F[sub]2x[/sub] = -150 N located at 3 m in the +y direction from point A
Which of the following is the correct expression for the sum of moments about point C?
If [i]d[/i] is the distance of F[sub]r[/sub] from point C along member CD, what is the correct expression for the sum of moments about point C due to F[sub]r[/sub]?[br]
Using the above information, what is most nearly the correct value for [i]d[/i]?