MHB Statics for rod attached to string

AI Thread Summary
The discussion revolves around the concept of forces and moments in statics, particularly at the attachment point of a rod to a string. It is clarified that while there is a force at point A, it does not affect the moments about that point, which is why it may be omitted in certain analyses. Participants express confusion about resolving forces at individual points, questioning the validity of isolating forces at a single point rather than considering the entire system. There is also uncertainty regarding the calculation of moments, with a belief that all forces in the system should be accounted for when evaluating moments about a specific point. The conversation highlights the nuances of static equilibrium and the importance of understanding how forces and moments interact within a system.
markosheehan
Messages
133
Reaction score
0
View attachment 7415

View attachment 7416

could someone please explain to me why there is no relative force at point a where the rod ab is attached to a

thanks
 

Attachments

  • stats.png
    stats.png
    40.2 KB · Views: 107
  • sats 2.png
    sats 2.png
    30.6 KB · Views: 106
Mathematics news on Phys.org
markosheehan said:
could someone please explain to me why there is no relative force at point a where the rod ab is attached to a

thanks

There is.
In the answer key it has been left out, since it's focusing on the moments about a.
The force at point a does not contribute to the moments about a.
 
thanks

I do not see how they can just resolve forces at point c horizontally and vertically. For these type of questions I was always told you can only resolve forces horizontally and vertically for the whole system not just 1 random point on the system. can you just resolve forces horizontally and vertically for 1 point on all types of questions like these.

I can also not see why/how they can take moments about point b for just point c. again I was always told when taking moments about a point you have to take all forces in the whole system about point c not just the forces at one point in the system.
 
Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
Is it possible to arrange six pencils such that each one touches the other five? If so, how? This is an adaption of a Martin Gardner puzzle only I changed it from cigarettes to pencils and left out the clues because PF folks don’t need clues. From the book “My Best Mathematical and Logic Puzzles”. Dover, 1994.
Thread 'Imaginary Pythagoras'
I posted this in the Lame Math thread, but it's got me thinking. Is there any validity to this? Or is it really just a mathematical trick? Naively, I see that i2 + plus 12 does equal zero2. But does this have a meaning? I know one can treat the imaginary number line as just another axis like the reals, but does that mean this does represent a triangle in the complex plane with a hypotenuse of length zero? Ibix offered a rendering of the diagram using what I assume is matrix* notation...
Back
Top