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The direction and magnitude of the two forces are known to calcu

Publish: 2021-05-18 15:19:31
1. Synthesis of forces
2. It depends on the direction of their forces. If the two forces are in the opposite direction, that is, if one force increases, the resultant force first decreases and then increases. If the two forces are not exactly opposite, then the resultant force of the forces will be greater and greater.
3. 2. Synthesis of force
4. If the direction of the two forces is the same, the resultant force is equal to the algebraic sum of the two forces, and the direction is the direction of the original component force
5. Countless kinds of parallelogram
6. Cosine theorem
7. 1. Draw the resultant force, size and direction first.
2. The starting point of the resultant force is the center of the circle, and if you make a circle with the size of F1 as the radius, it must intersect with the resultant force F at a point.
3. The ending point of the resultant force is the center of the circle, and if you make a circle with the size of F2 as the radius, it must intersect with the resultant force F at a point.
the analysis is as follows:
if there is no intersection point between two circles, there is no solution.
if there is an intersection point, there is no solution, If F 1 and F 2 have a unique situation (three forces are on the same line, including inscribed and circumscribed)
there are two intersections, then f 1 and F 2 have two possibilities
8. 1. Draw the resultant force, size and direction first
2. The starting point of the resultant force is the center of the circle, and the radius is the size of F1. To make a circle, it must intersect with the resultant force F
3. The end point of the resultant force is the center of the circle, and the size of F2 is the radius. To make a circle, it must intersect with the resultant force F

the analysis is as follows:
If two circles have no intersection, there is no solution
if there is one intersection point, then F1 and F2 are unique (three forces are on the same line, including inscribed and circumscribed)
if there are two intersections, then F1F2 has two possibilities.
9. The action line of the smallest other force is the shortest directed line from the arrow of the action line of gravity mg to the direction of resultant force. According to the knowledge of geometry, the distance from a point to each point on a straight line is the shortest. Therefore, the direction of the smallest of the other forces is perpendicular to the resultant force, and the magnitude is mg * Sina
10.

It's mainly about the synthesis of understanding. The most intuitive thing is that you take a triangle ruler out, and regard the hypotenuse as the resultant force, and the other two sides as the component force. When the hypotenuse is fixed, that is, when the direction is unchanged, your ruler can be placed in two positions on the desktop, and the two positions are the component direction you want. Of course, if you take out an isosceles triangle ruler, In other words, when the two components are equal, it is the only solution

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