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How to calculate the resultant force of the two forces

Publish: 2021-04-26 07:14:48
1. If the component force is known, it can be made into a parallelogram,
the diagonal line starting from the action point of the force is the resultant force,
then according to the sine theorem of triangle, the angle can be calculated
2. You can separate two forces: vertical and horizontal. The horizontal direction of the decomposed force is offset and a result is obtained; You can also get a result in the vertical direction. Next, there are only two forces perpendicular to each other. You should be able to do that, right
there is a case: if one of the horizontal and vertical forces is zero, the final result is the non-zero force.
3. Parallelogram principle
4.

If you can only draw, you can set the unit length by yourself, as long as its proportion is the same as Newton's value

you can only find the resultant force through parallelogram method


if you make parallelogram with two forces as variable length

then the resultant force is diagonal, the direction is fixed, and the value is its length

5.

There is no formula, that is to add the direction consistent minus the direction inconsistent, if you need to decompose, choose a relatively simple coordinate system to decompose, still add the direction consistent minus the direction opposite

Force is a vector, and resultant force refers to the vector sum of multiple forces acting on the same object. The resultant force is a vector, and the addition and subtraction of vectors satisfy the parallelogram rule and triangle rule



extended data:

If two forces are not collinear, the direction of diagonal is the direction of resultant force. If the directions of the two forces are the same, then the resultant force is equal to the sum of the two forces and the direction remains unchanged

The direction of the force F is the direction after the combination of several forces. If the directions of the two forces are opposite, the resultant force is equal to the difference between the two forces, and the direction is the same as that of the larger force

6. The resultant force is also regular:
1. One is the sum of two forces with the same direction on the same line
2. The other is the difference between two forces with opposite directions on the same line.
7.

If it is not vertical, the following method can be used:

the angle between F1 and F2 is θ , If the resultant force is f,

is used as the auxiliary line as shown in the figure, then F1 & # 39= F1cos θ 、 F1" = F1sin θ

from mathematical knowledge:

f ^ 2 = (F2 + F1 & # 39;)^ 2+F1"^ 2=(F2+F1cos θ)^ 2+(F1sin θ)^ 2=F2^2+2F2F1cos θ+( F1cos θ)^ 2+(F1sin θ)^ 2=F2^2+2F2F1cos θ+( F1cos θ)^ 2+(F1sin θ)^ 2=F2^2+2F2F1cos θ+ F1 ^ 2

therefore, the size of resultant force is:

F = √ (F2 ^ 2 + F1 ^ 2 + 2f2f1cos) θ)

extended data:

principle and application of resultant force:

the direction of force F is the direction after the combination of several forces

Force is a vector, and resultant force refers to the vector sum of multiple forces acting on the same object. The resultant force is a vector, and the addition and subtraction of vectors satisfy the parallelogram rule and triangle rule

If the two forces are not collinear, the direction of diagonal is the direction of resultant force

if the directions of the two forces are the same, then the resultant force is equal to the sum of the two forces and the direction remains unchanged

if the directions of the two forces are opposite, the resultant force is equal to the difference between the two forces, and the direction is the same as that of the larger force

If two forces are equal forces, the resultant force is zero. ∑F=0

8. If two forces are not in the same direction, they can only be solved by the parallelogram rule. If two forces are in the same direction and the direction is the same, the resultant force is directly added; If the direction is opposite, the resultant force is subtracted, and the direction of the resultant force is the same as that of the larger component.
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