Constraints and Statical Determinacy

  • Thread starter Thread starter sami23
  • Start date Start date
  • Tags Tags
    Constraints
sami23
Messages
69
Reaction score
1

Homework Statement


Which of these bodies has redundant constraints for the given loading conditions? F_1 and F_2 are applied, known forces. In the first choice, the support at A is fixed and a cable connects points B and C. In the second choice, the support at A is a smooth pin, and a cable connects points B and C. In the third choice, the support at A is a single thrust bearing, and a cable connects points B and C.
Check all that apply.


Homework Equations


Redundant constraints - when a body has more supports than necessary to hold it in equilibrium it becomes statically indeterminate.


The Attempt at a Solution


the first and last seem to have redundant constraints.
 

Attachments

  • constraints a.jpg
    constraints a.jpg
    2.7 KB · Views: 699
  • constraints b.jpg
    constraints b.jpg
    3.2 KB · Views: 616
  • constraints c.jpg
    constraints c.jpg
    5.2 KB · Views: 634
Physics news on Phys.org
agree about a and b, but not about c.
 
Hi, I had an exam and I completely messed up a problem. Especially one part which was necessary for the rest of the problem. Basically, I have a wormhole metric: $$(ds)^2 = -(dt)^2 + (dr)^2 + (r^2 + b^2)( (d\theta)^2 + sin^2 \theta (d\phi)^2 )$$ Where ##b=1## with an orbit only in the equatorial plane. We also know from the question that the orbit must satisfy this relationship: $$\varepsilon = \frac{1}{2} (\frac{dr}{d\tau})^2 + V_{eff}(r)$$ Ultimately, I was tasked to find the initial...
The value of H equals ## 10^{3}## in natural units, According to : https://en.wikipedia.org/wiki/Natural_units, ## t \sim 10^{-21} sec = 10^{21} Hz ##, and since ## \text{GeV} \sim 10^{24} \text{Hz } ##, ## GeV \sim 10^{24} \times 10^{-21} = 10^3 ## in natural units. So is this conversion correct? Also in the above formula, can I convert H to that natural units , since it’s a constant, while keeping k in Hz ?

Similar threads

Back
Top