12/18/2022 0 Comments Static equilibrium 3dWe will focus on the rotational tendency in this chapter. We have already explored the translational tendency in Chapter 3. You could check out the Wikipedia article on tetrahedrons. Statics: Moments and Static Equivalence Chapter 4 Moments and Static Equivalence When a force is applied to a body, the body tends to translate in the direction of the force and also tends to rotate. I'm basically curious as to what is the thought process required to solve a problem like this, or a more general case where there aren't any nice symmetric features. Initially I assumed it was 60 degrees, but after checking my work the math didn't work out. I then tried: F(z) = T1 sin + T2 sinβ + T3 sinβ = 50N.īut then I couldn't figure out how to find β. Can be proven with a simple qualitative 2D vector sum, even though the quantities weren't given. I proceeded to decompose the F(x,y) components, which cancel each other out. There are several ways to think about this equation. This simple equation is one of the two foundations of engineering statics. So for the special case of static equilibrium Newton’s Law becomes. My approach was to represent the problem in 2D since there were some obvious vector symmetries in the x,y plane. The acceleration of an object is related to the net force acting on it by Newton’s Second Law. The angles weren't given but each side of a tetrahedron is composed of 3圆0 degree angles. I realized that T1=T2=T3 due to the symmetrical nature of tetrahedrons. Find the magnitude of the tension of each cable. Each rope ZA, ZB, ZC converges at Z so that they form a tetrahedron. A block of weight 50N is hung by 3 cables from the ceiling.
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