- #1
Kino Physics
- 5
- 2
- Homework Statement
- On a weightless structure of articulated rods, a weight with mass 𝑚 is suspended. What is the tension force T of the red thread? The six rods form two identical diamonds.
- Relevant Equations
- Newton's Second Law; Law of Conservation of energy ( potentially)
At first I tried solving the problemteh following way:
Due to symmetry let the rods connected to the green rod have tension forces in magnitde T1 => mg = 2T1cos(a), where a is half the angle formed by the two rods. From tere I got an expression from the longer rods in the force projected by them is T2 in magnitude, which is equal to T1 due to the balance of forces in the x direction in the joint of the short and long rods , such that T1sin(a)=T2sin(a) and from there I get that T =mg.
However if I assume that teh thread is extensible and solve the balance of forces with the thread acing as a spring by integration the work of the gravitational force I get that k(dl)^2/2= mg(2dl).
Thanks in advance!