# 11.1.3. The Resultant of Coplanar Forces Meeting at a Point

In the figure below, is a regular hexagon, where is the point of intersection of its diagonals, and the forces in the figure are measured in newtons. Find the resultant of the forces and its inclination angle with the positive direction of the -axis, and approximate the result to the nearest minute, if needed.

• AN,
• BN,
• CN,
• DN,
Show Solution

, , and are three forces, where N, N, and N. Given that is the angle between the resultant's line of action and the horizontal, determine the magnitude of the resultant and .

• AN,
• BN,
• CN,
• DN,
Show Solution

Given that , , and their resultant , determine the values of and .

• A,
• B,
• C,
• D,
Show Solution

is a square that has a side length of cm. where cm. Given that forces of magnitudes 8, 20, , and 12 newtons act in the directions of , , , and respectively, find the magnitude of their resultant.

• AN
• BN
• CN
• DN
Show Solution

The magnitude of the resultant of the system of forces acting on the regular hexagon shown below is N, and the resultant force is acting in the direction of , determine the values of and .

• AN, N
• BN, N
• CN, N
• DN, N
Show Solution

, , and are acting on a particle. If the resultant of the forces , find the values of and .

• A,
• B,
• C,
• D,
Show Solution

If , , and are acting on a particle, and they are in equilibrium, find the values of and .

• A,
• B,
• C,
• D,
Show Solution