Answer to Question #201078 in Mechanics | Relativity for karen

Question

Calculate the combined moment of the three forces about each of the coordinate axes using a. the scalar method; and b. the vector method.

Answer 1

When adding vectors, you need to take into account both their numerical values ​​and directions. There are several commonly used addition methods:

parallelogram rule

triangle rule

trigonometric method

Parallelogram rule. Addition of vectors according to the parallelogram rule.

The vector procedure according to the parallelogram rules is as follows:

draw the first vector given its direction and direction

from the beginning of the first, draw the second vector.

complement the drawing to a parallelogram, assuming that the two drawn vectors are its sides

the resulting vector will be the diagonal of the parallelogram, and its beginning will coincide with the beginning of the first (and, therefore, the second) day.

Triangle rule. Addition of vectors according to the triangle rule.

The addition of vectors according to the triangle rule is as follows:

draw the first vector using data about its length (numeric value) and direction

from the end of the first, draw the second vector.

the resulting vector will be a vector whose beginning coincides with the beginning of the first month, and the end of which coincides with the end of the second.