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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 505 · 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 bar balances. The load is 600 N at 20 cm from the fulcrum. The effort is 200 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  2. 2.⚖️ Turning effect = force × … (a) mass of fulcrum (b) time taken (c) colour of bar (d) distance from fulcrum
  3. 3.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 80 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  4. 4.⚖️ A seesaw balances. Meena (? N) sits 2 m from the pivot on one side; Kabir (380 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  5. 5.⚖️ A lever bar balances. The load is 270 N at ? cm from the fulcrum. The effort is 360 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  6. 6.⚖️ A seesaw balances. Arjun (300 N) sits 1 m from the pivot on one side; Meena (100 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 300 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?
  8. 8.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 350 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  9. 9.⚖️ A lever bar balances. The load is 630 N at 40 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?
  10. 10.⚖️ A lever bar balances. The load is 500 N at 10 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?
  11. 11.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 30 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  12. 12.⚖️ On a seesaw, a heavier child should sit … (a) farther from the pivot (b) closer to the pivot (c) on the pivot (d) anywhere
  13. 13.⚖️ A seesaw balances. Zoya (190 N) sits 3 m from the pivot on one side; Ravi (570 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  14. 14.⚖️ A seesaw balances. Meena (? N) sits 1 m from the pivot on one side; Arjun (100 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  15. 15.⚖️ A seesaw balances. Zoya (440 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?
  16. 16.⚖️ A seesaw balances. Arjun (? N) sits 2 m from the pivot on one side; Asha (320 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  17. 17.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 210 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  18. 18.⚖️ A lever balances when … (a) both weights are equal (b) the bar is short (c) turning effects match (d) the fulcrum moves
  19. 19.⚖️ A lever bar balances. The load is 150 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?
  20. 20.⚖️ A lever bar balances. The load is 350 N at 10 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?
  21. 21.⚖️ A lever bar balances. The load is 600 N at 50 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?
  22. 22.⚖️ A seesaw balances. Meena (280 N) sits 1 m from the pivot on one side; Zoya (140 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  23. 23.⚖️ A seesaw balances. Zoya (200 N) sits 1 m from the pivot on one side; Kabir (200 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  24. 24.⚖️ A seesaw balances. Asha (340 N) sits 2 m from the pivot on one side; Ravi (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  25. 25.⚖️ A seesaw balances. Asha (? N) sits 3 m from the pivot on one side; Ravi (330 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  26. 26.⚖️ A seesaw balances. Meena (570 N) sits ? m from the pivot on one side; Asha (190 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  27. 27.⚖️ A lever bar balances. The load is 80 N at 40 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?
  28. 28.⚖️ A lever bar balances. The load is 900 N at 20 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?
  29. 29.⚖️ A seesaw balances. Ravi (400 N) sits 1 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?
  30. 30.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 280 N at 20 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 50 cm from the fulcrum. The effort is 100 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  32. 32.⚖️ A seesaw balances. Arjun (? N) sits 2 m from the pivot on one side; Asha (320 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  33. 33.⚖️ A seesaw balances. Zoya (570 N) sits 3 m from the pivot on one side; Arjun (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  34. 34.⚖️ A seesaw balances. Ravi (600 N) sits 4 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?
  35. 35.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 200 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  36. 36.⚖️ A seesaw balances. Ravi (330 N) sits ? m from the pivot on one side; Arjun (110 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  37. 37.⚖️ A seesaw balances. Meena (? N) sits 1 m from the pivot on one side; Ravi (110 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  38. 38.⚖️ A seesaw balances. Meena (? N) sits 2 m from the pivot on one side; Zoya (300 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  39. 39.⚖️ A seesaw balances. Kabir (? N) sits 4 m from the pivot on one side; Asha (600 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 ? N at 40 cm from the fulcrum. The effort is 40 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?

Answer key

  1. 60
  2. distance from fulcrum
  3. 120
  4. 380
  5. 40
  6. 3
  7. 60
  8. 700
  9. 280
  10. 50
  11. 240
  12. closer to the pivot
  13. 1
  14. 300
  15. 330
  16. 480
  17. 420
  18. turning effects match
  19. 30
  20. 50
  21. 300
  22. 2
  23. 1
  24. 340
  25. 440
  26. 1
  27. 80
  28. 180
  29. 200
  30. 140
  31. 140
  32. 160
  33. 570
  34. 800
  35. 900
  36. 1
  37. 110
  38. 450
  39. 150
  40. 70

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