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...
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 *...
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...
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...
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...
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...
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...
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...
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...
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.
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...
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...