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1. ### Number Theory. If d=gcd(a,b,c) then d is a linear combination of a,b, and c

Homework Statement Several of us claimed that if d=gcd(a,b,c) then d is a linear combination of a,b and c, i.e. that d=sa+tb+uc for some integers s,t, and u. That is true, but we only proved the analogous claim for the greatest common divisor of two numbers, i.e. when d=gcd(a,b). We need...
2. ### Number Theory. Argue Is not the square of an integer.

Homework Statement Argue that (17^4)*(5^10)*(3^5) is not the square of an integer. Homework Equations N/A? The Attempt at a Solution Do I break these up, and show that each is not a square? I'm not sure if that would be correct, but sqrt(17^4)=289 * sqrt(5^10)=3125 *...
3. ### Number Theory. If d=gcd(a,b) then

Homework Statement If d=gcd(a,b) show that gcd((a/d),(b/d))=1 Homework Equations N/A? The Attempt at a Solution Basically, I know that I need to show that 1 is a linear combination of a/d and b/d. I'm not exactly sure how to go about this. Dividing by d gives...
4. ### Determine Moment by Resolving the Force.

Ok. I remember the right hand rule now. With my problem does this mean (-68.952 lb-in)+(68.894 lb-in) = -.058 lb-in cw?
5. ### Determine Moment by Resolving the Force.

Oh, that seems fairly odd. Where ccw is counterclockwise and cw is clockwise?
6. ### Determine Moment by Resolving the Force.

Oooh I see. That makes sense now. What do I do now that I know pushing down is ccw and to the right is cw? Does this mean cw is pos and ccw is neg?
7. ### Determine Moment by Resolving the Force.

If I push down it would rotate cw. I'm having a harder time picturing what would happen if I push "to the right" would it also be cw?
8. ### Determine Moment by Resolving the Force.

The original picture right? The rod would rotate clockwise.
9. ### Determine the magnitude of F.

I'm familiar with the cross product, but not sure how to use it to determine moment.
10. ### Determine Moment by Resolving the Force.

i'm not sure how to tell if it would be cw or ccw.
11. ### Determine Moment by Resolving the Force.

I attached an update to my work. Am I doing this right? Where should I go from here?
12. ### Determine Moment by Resolving the Force.

Homework Statement A 20-lb force is applied to the control rod Ab as shown. Knowing that the length of the rod is 9 in. and that α=25°, determine the moment of the force about point B by resolving the force into horizontal and vertical components. The first image I provided was given...
13. ### Having a difficult time in statics. (EM 221)

M=Fd Vertical: M=(20 lb)(9")(sin(25)) approx. 76.07 lb-in and Horizontal: M=(20 lb)(9")(cos(25)) approx. 163.14 lb-in Are those the two separate moments? Do I just add them? And what should the diagram look like? Just a right angle with 20cos(25) horizontal and 20sin(25) vertical? Thanks...
14. ### Having a difficult time in statics. (EM 221)

haha. I'm not drunk. I'm trying. 20sin(25)? Approx. 8.452 lb?
15. ### Having a difficult time in statics. (EM 221)

I'm trying really hard over here, but I'm having trouble knowing what I should be looking at on my image. I know both AB and the force already displayed is 20-lb, but which do I make the right angles to? Or am I not supposed to do that here? The one with alpha makes most sense, but then why...
16. ### Having a difficult time in statics. (EM 221)

Lad. haha. :) I think we just got smashed by Louisville though. So a resultant is the the "result" of two (or more) forces acting on the same object in different directions? So it's like adding forces? Is there a formula for this so I will know for the future? Is it always R=2Fcos(α)? I...
17. ### Determine the magnitude of F.

Homework Statement In order to raise the lamp post from the position shown, the force on the cable must create a counterclockwise moment of 1500 lb*ft about point A. Determine the magnitude of F that must be applied to the cable. Homework Equations I can find the magnitude of a vector...
18. ### Having a difficult time in statics. (EM 221)

Sorry, I don't. He's assuming we know more than we do.
19. ### Having a difficult time in statics. (EM 221)

I know moment is the physical effect of a force to cause an object to spin about a point. Same as torque, as far as our class is concerned. (professor said so) I know that M=Fd, where F ~ magnitude of force. and d~ orthogonal distance from point to line of action of force. I know moment is...
20. ### Having a difficult time in statics. (EM 221)

I honestly don't know how to do that. I may be over thinking everything in this class so far, but this is my first "problem solving" class I've had in my engineering program.
21. ### Statics 221. Determine moment.

Homework Statement Thee foot segment is subjected to the pull of the two plantarflexor muscles. Determine the moment of each force about the point of contact A on the ground. Homework Equations M=Fd I've used others to help determine certain angles, but I'm not sure if it was even...
22. ### Having a difficult time in statics. (EM 221)

A 21-pound force is applied to the control rod AB as shown. Knowing that the length of the rod is 9 in. and that α=25°, determine the moment of the force about point B by resolving the force into horizontal and vertical components. I wish I could say I have some work to show progress, but I...