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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 338 · 40 questions
TalentJR

Engineer's tip (Both sides turn the same): Turning effect = force × distance from the fulcrum. Balance: load × load distance = effort × effort distance. Missing value = the known side’s product ÷ the other number on its own side.

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  1. 1.⚖️ A lever balances when … (a) both weights are equal (b) the bar is short (c) turning effects match (d) the fulcrum moves
  2. 2.⚖️ A lever bar balances. The load is 90 N at 40 cm from the fulcrum. The effort is 120 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  3. 3.⚖️ A lever bar balances. The load is 80 N at 30 cm from the fulcrum. The effort is ? N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  4. 4.⚖️ A seesaw balances. Asha (680 N) sits 3 m from the pivot on one side; Kabir (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  5. 5.⚖️ A lever bar balances. The load is 810 N at ? cm from the fulcrum. The effort is 90 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  6. 6.⚖️ A seesaw balances. Ravi (520 N) sits 2 m from the pivot on one side; Zoya (260 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  7. 7.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 60 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  8. 8.⚖️ A seesaw balances. Kabir (720 N) sits 4 m from the pivot on one side; Ravi (720 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  9. 9.⚖️ A seesaw balances. Arjun (260 N) sits 1 m from the pivot on one side; Kabir (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  10. 10.⚖️ A lever bar balances. The load is 180 N at 20 cm from the fulcrum. The effort is 40 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  11. 11.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 90 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  12. 12.⚖️ A seesaw balances. Asha (? N) sits 3 m from the pivot on one side; Meena (510 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  13. 13.⚖️ A seesaw balances. Asha (570 N) sits 1 m from the pivot on one side; Arjun (190 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  14. 14.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 60 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  15. 15.⚖️ A seesaw balances. Zoya (600 N) sits ? m from the pivot on one side; Ravi (400 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  16. 16.⚖️ Turning effect = force × … (a) colour of bar (b) time taken (c) mass of fulcrum (d) distance from fulcrum
  17. 17.⚖️ A seesaw balances. Ravi (200 N) sits ? m from the pivot on one side; Asha (600 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  18. 18.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) closer to the pivot (c) on the pivot (d) farther from the pivot
  19. 19.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 200 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  20. 20.⚖️ A lever bar balances. The load is 350 N at 50 cm from the fulcrum. The effort is 250 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  21. 21.⚖️ A seesaw balances. Arjun (? N) sits 3 m from the pivot on one side; Meena (420 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  22. 22.⚖️ A seesaw balances. Asha (360 N) sits ? m from the pivot on one side; Zoya (240 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  23. 23.⚖️ A seesaw balances. Arjun (? N) sits 1 m from the pivot on one side; Kabir (170 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  24. 24.⚖️ A seesaw balances. Zoya (160 N) sits 4 m from the pivot on one side; Arjun (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  25. 25.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 210 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  26. 26.⚖️ A seesaw balances. Asha (800 N) sits 4 m from the pivot on one side; Arjun (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  27. 27.⚖️ A seesaw balances. Arjun (130 N) sits ? m from the pivot on one side; Zoya (260 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  28. 28.⚖️ A seesaw balances. Meena (190 N) sits 4 m from the pivot on one side; Arjun (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  29. 29.⚖️ A lever bar balances. The load is 80 N at 20 cm from the fulcrum. The effort is ? N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  30. 30.⚖️ A seesaw balances. Ravi (320 N) sits 2 m from the pivot on one side; Asha (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  31. 31.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 450 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  32. 32.⚖️ A seesaw balances. Zoya (600 N) sits 3 m from the pivot on one side; Kabir (600 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  33. 33.⚖️ A seesaw balances. Ravi (190 N) sits 1 m from the pivot on one side; Arjun (190 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  34. 34.⚖️ A seesaw balances. Asha (600 N) sits 2 m from the pivot on one side; Meena (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  35. 35.⚖️ A lever bar balances. The load is 640 N at 30 cm from the fulcrum. The effort is 240 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  36. 36.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Arjun (170 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  37. 37.⚖️ A lever bar balances. The load is 420 N at 50 cm from the fulcrum. The effort is ? N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  38. 38.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 40 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  39. 39.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 240 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  40. 40.⚖️ A seesaw balances. Zoya (320 N) sits ? m from the pivot on one side; Ravi (160 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?

Answer key

  1. turning effects match
  2. 30
  3. 120
  4. 510
  5. 10
  6. 4
  7. 90
  8. 4
  9. 130
  10. 90
  11. 120
  12. 510
  13. 3
  14. 200
  15. 2
  16. distance from fulcrum
  17. 3
  18. closer to the pivot
  19. 700
  20. 70
  21. 280
  22. 2
  23. 340
  24. 640
  25. 210
  26. 800
  27. 2
  28. 760
  29. 20
  30. 320
  31. 540
  32. 3
  33. 1
  34. 400
  35. 80
  36. 340
  37. 350
  38. 400
  39. 360
  40. 1

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