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Lesson: The Resultant of a System of Parallel Coplanar Forces

Sample Question Videos

Worksheet • 25 Questions • 1 Video

Q1:

The points 𝐴 , 𝐡 , 𝐢 , 𝐷 , and 𝐸 are lying on the same straight line, where 2 𝐴 𝐡 = 𝐡 𝐢 = 3 𝐢 𝐷 = 6 𝐷 𝐸 = 6 c m . Four parallel forces of magnitudes 14, 19, 𝐹 , and 20 newtons are acting at 𝐴 , 𝐢 , 𝐷 , and 𝐸 respectively. If their resultant passes through point 𝐡 , calculate the size of force 𝐹 , giving your answer in newtons.

  • A 𝐹 = 1 3 . 5 N
  • B 𝐹 = βˆ’ 3 N
  • C 𝐹 = βˆ’ 1 3 . 5 N
  • D 𝐹 = 3 N
  • E 𝐹 = βˆ’ 2 6 N

Q2:

The points 𝐴 , 𝐡 , 𝐢 , 𝐷 , and 𝐸 are lying on the same straight line, where 2 𝐴 𝐡 = 5 𝐡 𝐢 = 𝐢 𝐷 = 2 𝐷 𝐸 = 1 0 c m . Four parallel forces of magnitudes 19, 8, 𝐹 , and 15 newtons are acting at 𝐴 , 𝐢 , 𝐷 , and 𝐸 respectively. If their resultant passes through point 𝐡 , calculate the size of force 𝐹 , giving your answer in newtons.

  • A 𝐹 = 1 2 N
  • B 𝐹 = βˆ’ 2 7 . 8 3 N
  • C 𝐹 = βˆ’ 1 2 N
  • D 𝐹 = 2 7 . 8 3 N
  • E 𝐹 = βˆ’ 3 . 6 N

Q3:

The points 𝐴 , 𝐡 , 𝐢 , 𝐷 , and 𝐸 are lying on the same straight line, where 7 𝐴 𝐡 = 𝐡 𝐢 = 3 𝐢 𝐷 = 3 𝐷 𝐸 = 2 1 c m . Four parallel forces of magnitudes 16, 19, 𝐹 , and 18 newtons are acting at 𝐴 , 𝐢 , 𝐷 , and 𝐸 respectively. If their resultant passes through point 𝐡 , calculate the size of force 𝐹 , giving your answer in newtons.

  • A 𝐹 = βˆ’ 3 8 . 4 6 N
  • B 𝐹 = 3 5 . 0 4 N
  • C 𝐹 = 3 8 . 4 6 N
  • D 𝐹 = βˆ’ 3 5 . 0 4 N
  • E 𝐹 = βˆ’ 8 1 . 8 6 N
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