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

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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.

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.

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