Worksheet: Equilibrium of a Rigid Body under the Effect of Two Forces

In this worksheet, we will practice solving problems involving a rigid body that is in equilibrium under the effect of two forces.

Q1:

Three forces of magnitudes 16, 19, and 8 newtons, respectively, are acting at a single point. Given that the forces are in equilibrium, find the measure of the angle between the forces of magnitudes 16 and 8 newtons approximated to the nearest minute.

• A
• B
• C
• D

Q2:

Two forces of magnitudes 15 N and N are acting at a point such that the measure of the angle between them is . What is the magnitude of the force required to bring this system to equilibrium?

• A 30 N
• B N
• C N
• D 15 N

Q3:

Three forces of magnitudes 16, 10, and 8 newtons, respectively, are acting at a single point. Given that the forces are in equilibrium, find the measure of the angle between the forces of magnitudes 16 and 8 newtons approximated to the nearest minute.

• A
• B
• C
• D

Q4:

Two forces of magnitudes 22 N and 11 N are acting at a point such that the measure of the angle between them is . What is the magnitude of the force required to bring this system to equilibrium?

• A N
• B N
• C 33 N
• D N