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...
Argue that (17^4)*(5^10)*(3^5) is not the square of an integer.
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 *...
If d=gcd(a,b) show that gcd((a/d),(b/d))=1
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...
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...
Vertical: M=(20 lb)(9")(sin(25)) approx. 76.07 lb-in
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?
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)?
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.
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...
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.
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...