Solving systems of equations from dynamics Here is an example of a system I might have to solve for

Jaylene Duarte

Jaylene Duarte

Answered question

2022-05-13

Solving systems of equations from dynamics
Here is an example of a system I might have to solve for F, given M, m, μ S , θ.
N sin θ μ S N cos θ = m a
N cos θ + μ S N sin θ m g = 0
N sin θ + μ S N cos θ + F = M a

Answer & Explanation

Makhi Lyons

Makhi Lyons

Beginner2022-05-14Added 15 answers

What you have been told, is false. The system x + y = 1 , x + y = 17 has as many equations as unknowns, yet it has no solution.
The best approach to systems of linear equations is (some variation of) Gaussian elimination.
If the equations are not linear (and even if they are linear, but there are lots of them, with big coefficients), the best approach is to type them into some computer algebra package.

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