In this lesson, we will learn how to solve problems involving the resultant of coplanar forces meeting at a point analytically.

Q1:

Four coplanar concurrent forces are acting at the point π ; where s i n π = 4 5 . If the resultant of the forces forms an angle of 1 3 5 β with the π₯ -axis and has a magnitude of 3 7 β 2 N, find the values of π and π .

Q2:

Given that the forces πΉ , 2 6 β 2 , 4 4 β 2 , and 65 newtons are acting as shown in the figure, the magnitude of the resultant of the system of forces is 2 5 β 2 N, and the resultant force makes an angle π with the force πΉ , determine the magnitude of πΉ , also the angle π approximated to the nearest minute.

Q3:

Coplanar forces of magnitudes πΉ N, 8 β 3 N, β 3 N, and 9 β 3 N act on a particle as shown in the diagram. Given that the magnitude of their resultant is 9 β 3 N, determine the value of πΉ .

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