Orthogonal decomposition method to teach me How to set up the equation of orthogonal decomposition should be clear How did F1 = sin37 * F, F2 = cos37 * f come from? How did g-sin37 * f come from? How did coordinates come from? I was very careful

Orthogonal decomposition method to teach me How to set up the equation of orthogonal decomposition should be clear How did F1 = sin37 * F, F2 = cos37 * f come from? How did g-sin37 * f come from? How did coordinates come from? I was very careful

The object of study is subject to many forces. There are many ways to analyze it. I think the orthogonal decomposition method is a good method. Although it is more complicated to use it for simpler problems, it is better to use the orthogonal decomposition method for beginners
Can deal with a large number of mechanical problems, after more skilled, natural other methods will be
Orthogonal decomposition method
(1) Define the research object (or system);
(2) Understand the state of movement (question giving, suggestion or judgment, hypothesis);
(3) Force analysis (field force, elastic force and friction force in sequence);
(4) Establish the coordinate and decompose the force orthogonally (if there is relative motion or relative motion trend, especially acceleration, it is necessary to build an axis in this direction)
(5) Set up an equation and solve it. (sometimes it needs ∑ M = 0, which is not an orthogonal decomposition method)
It is known that F1 and F2 are the components of F, the angle of F is 37, the gravity of the object is g, and the dynamic friction coefficient is 0.5
Find: the size of F, the size of acceleration
F1=Sin37*F F2=Cos37*F
f=μN=0.5*(G-Sin37*F)
F = f2-f = m * a
a=(cos37*F-(0.5*(G-Sin38*F))/(G/g)