Find the Thevenin Equivalent.
2 answers:
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Answer:
- F1.x ≈ -28.93
- F1.y ≈ 34.47
- F2.x = 70
- F2.y = 0
- (F1+F2).x ≈ 41.07
- (F1+F2).y ≈ 34.47
- |F1+F2| ≈ 53.62
- ∠(F1+F2) ≈ 40.0°
Explanation:
A suitable calculator can show you the vector components and their resultant in polar or rectangular format. (See attached.) 2D vectors are conveniently treated as complex numbers, which is why the y-component values are shown as imaginary.
(The 50° angle measured from the -x axis is equivalent to 130° measured from the +x axis, which is the reference we're using here.)
If you'd like to compute the vector components by hand, they are ...
(x, y) = magnitude×(cos(angle), sin(angle))
This notation is sometimes abbreviated <em>magnitude cis angle</em>, a reference to the complex number form x+yi.
Answer:
vertical load = 10 kN
Modulus of elasticity = 200GPa
Yield stress on the cable = 400 MPa
Safety factor = 2.0
Explanation:
Data
let L =
= 3.35 m
substituting 1.5 m for h and 3 m for the tern (a + b)
= tan⁻¹(
)
= 45⁰
substituting 1.5 for h and 3 m for (a+ b) yields:
₂ = tan⁻¹ (
)
=25.56⁰
checking all the forces, they add up to zero. This means that the system is balanced and there is no resultant force.