Two forces F1 = 17N and F2 = 5N are applied to the material point. Find the maximum possible

Two forces F1 = 17N and F2 = 5N are applied to the material point. Find the maximum possible value of the resultant force.

Given:

F1 = 17 Newton – the value of the first force applied to the body;

F2 = 5 Newton – the value of the second force applied to the body.

It is required to determine F (Newton) – the maximum possible value of the resultant force.

According to the condition of the problem, both forces are applied to the body. Let y be the angle between the directions of the forces. Then the resultant of these forces will be equal to:

F = F1 * cos (y / 2) + F2 * cos (y / 2).

It can be seen from the formula that the maximum value will be when cos (y / 2) is maximum, that is, equal to one (the angle between the direction of the two forces is zero). Then:

F = 17 * 1 + 5 * 1 = 17 + 5 = 22 Newtons.

Answer: the maximum value of the resultant force is 22 Newtons.