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Lesson: The Equilibrium of a Body on a Rough Horizontal Plane

Sample Question Videos

Worksheet • 25 Questions • 1 Video

Q1:

A body weighing 8 N rests on a rough horizontal plane such that the coefficient of static friction between the body and the plane is 1 4 . A force, whose line of action makes an angle of πœƒ to the horizontal where c o s πœƒ = 5 1 3 , is acting on the body causing it to be on the point of moving. Given that 𝑅 is the resultant of the force of friction and the normal reaction force, find the magnitude of 𝑅 and the angle πœƒ it makes to the vertical stating your answer to the nearest minute.

  • A 𝑅 = 5 √ 1 7 4 N , πœƒ = 1 4 2 β€² ∘
  • B 𝑅 = 5 N , πœƒ = 7 5 5 8 β€² ∘
  • C 𝑅 = 5 4 N , πœƒ = 1 4 2 β€² ∘
  • D 𝑅 = 5 √ 1 7 4 N , πœƒ = 7 5 5 8 β€² ∘
  • E 𝑅 = 5 N , πœƒ = 1 4 2 β€² ∘

Q2:

A body weighing 178 N rests on a rough horizontal plane such that the coefficient of static friction between the body and the plane is 4 5 . A force, whose line of action makes an angle of πœƒ to the horizontal where c o s πœƒ = 4 5 , is acting on the body causing it to be on the point of moving. Given that 𝑅 is the resultant of the force of friction and the normal reaction force, find the magnitude of 𝑅 and the angle πœƒ it makes to the vertical stating your answer to the nearest minute.

  • A 𝑅 = 8 9 √ 4 1 4 N , πœƒ = 3 8 4 0 β€² ∘
  • B 𝑅 = 4 4 5 4 N , πœƒ = 5 1 2 0 β€² ∘
  • C 𝑅 = 8 9 N , πœƒ = 3 8 4 0 β€² ∘
  • D 𝑅 = 8 9 √ 4 1 4 N , πœƒ = 5 1 2 0 β€² ∘
  • E 𝑅 = 4 4 5 4 N , πœƒ = 3 8 4 0 β€² ∘

Q3:

A body of weight 45 N rests on a rough horizontal plane. If a horizontal force of 11 N acted on the body, it would be on the point of moving. Instead, a force, whose line of action was inclined to the horizontal at an angle of 6 0 ∘ , was acting on the body. Given that the body was on the point of moving, find the magnitude of this force rounding your answer to two decimal places if required.

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