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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 323 · 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 ? N at 50 cm from the fulcrum. The effort is 400 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  3. 3.⚖️ A seesaw balances. Ravi (? N) sits 2 m from the pivot on one side; Asha (300 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  4. 4.⚖️ A lever bar balances. The load is 120 N at 50 cm from the fulcrum. The effort is 150 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  5. 5.⚖️ On a seesaw, a heavier child should sit … (a) closer to the pivot (b) farther from the pivot (c) on the pivot (d) anywhere
  6. 6.⚖️ Turning effect = force × … (a) distance from fulcrum (b) colour of bar (c) time taken (d) mass of fulcrum
  7. 7.⚖️ A seesaw balances. Meena (? N) sits 1 m from the pivot on one side; Ravi (140 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  8. 8.⚖️ A lever bar balances. The load is 100 N at 10 cm from the fulcrum. The effort is ? N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  9. 9.⚖️ A seesaw balances. Zoya (? N) sits 2 m from the pivot on one side; Kabir (240 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  10. 10.⚖️ A seesaw balances. Arjun (380 N) sits 4 m from the pivot on one side; Asha (760 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  11. 11.⚖️ A seesaw balances. Ravi (220 N) sits ? m from the pivot on one side; Arjun (440 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  12. 12.⚖️ A seesaw balances. Zoya (280 N) sits 3 m from the pivot on one side; Meena (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  13. 13.⚖️ A seesaw balances. Ravi (130 N) sits 4 m from the pivot on one side; Meena (520 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  14. 14.⚖️ A seesaw balances. Meena (200 N) sits ? m from the pivot on one side; Arjun (300 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  15. 15.⚖️ A seesaw balances. Meena (110 N) sits 1 m from the pivot on one side; Asha (110 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  16. 16.⚖️ A lever bar balances. The load is 800 N at 40 cm from the fulcrum. The effort is ? N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  17. 17.⚖️ A seesaw balances. Kabir (420 N) sits 1 m from the pivot on one side; Zoya (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  18. 18.⚖️ A seesaw balances. Zoya (560 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?
  19. 19.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 10 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  20. 20.⚖️ A seesaw balances. Zoya (760 N) sits 3 m from the pivot on one side; Meena (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  21. 21.⚖️ A seesaw balances. Asha (600 N) sits ? m from the pivot on one side; Kabir (400 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  22. 22.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 240 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  23. 23.⚖️ A seesaw balances. Arjun (300 N) sits 1 m from the pivot on one side; Zoya (100 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  24. 24.⚖️ A seesaw balances. Meena (260 N) sits 2 m from the pivot on one side; Arjun (260 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  25. 25.⚖️ A seesaw balances. Asha (140 N) sits ? m from the pivot on one side; Zoya (280 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  26. 26.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 200 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  27. 27.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Arjun (240 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  28. 28.⚖️ A seesaw balances. Asha (330 N) sits 3 m from the pivot on one side; Ravi (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  29. 29.⚖️ A seesaw balances. Kabir (? N) sits 4 m from the pivot on one side; Asha (640 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  30. 30.⚖️ A lever bar balances. The load is 490 N at 20 cm from the fulcrum. The effort is ? N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  31. 31.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 320 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  32. 32.⚖️ 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?
  33. 33.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 50 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  34. 34.⚖️ A lever bar balances. The load is 160 N at 30 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?
  35. 35.⚖️ A lever bar balances. The load is 90 N at 30 cm from the fulcrum. The effort is ? N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  36. 36.⚖️ A seesaw balances. Kabir (190 N) sits 2 m from the pivot on one side; Zoya (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  37. 37.⚖️ A lever bar balances. The load is 240 N at ? cm from the fulcrum. The effort is 30 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  38. 38.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 140 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  39. 39.⚖️ A seesaw balances. Asha (200 N) sits 3 m from the pivot on one side; Zoya (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  40. 40.⚖️ A lever bar balances. The load is 250 N at 10 cm from the fulcrum. The effort is 50 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?

Answer key

  1. turning effects match
  2. 240
  3. 450
  4. 40
  5. closer to the pivot
  6. distance from fulcrum
  7. 420
  8. 20
  9. 120
  10. 2
  11. 4
  12. 420
  13. 1
  14. 3
  15. 1
  16. 320
  17. 140
  18. 560
  19. 100
  20. 570
  21. 2
  22. 540
  23. 3
  24. 2
  25. 2
  26. 400
  27. 240
  28. 330
  29. 160
  30. 140
  31. 480
  32. 90
  33. 150
  34. 60
  35. 30
  36. 380
  37. 10
  38. 700
  39. 600
  40. 50

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