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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 size of the angle between the forces of magnitudes 16 and 8 newtons approximated to the nearest minute.

  • A
  • B
  • C
  • D

Q2:

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 size of the angle between the forces of magnitudes 16 and 8 newtons approximated to the nearest minute.

  • A
  • B
  • C
  • D

Q3:

Two forces of magnitudes 15 N and 1 5 √ 3 N are acting at a point such that the measure of the angle between them is 1 5 0 ∘ . What is the magnitude of the force required to bring this system to equilibrium?

  • A 30 N
  • B 1 5 √ 7 N
  • C 3 0 √ 3 N
  • D 15 N

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 9 0 ∘ . What is the magnitude of the force required to bring this system to equilibrium?

  • A 1 1 √ 7 N
  • B 1 1 √ 3 N
  • C 33 N
  • D 1 1 √ 5 N

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