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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 348 · 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) the fulcrum moves (b) turning effects match (c) the bar is short (d) both weights are equal
  2. 2.⚖️ A seesaw balances. Ravi (110 N) sits ? m from the pivot on one side; Meena (110 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  3. 3.⚖️ A seesaw balances. Ravi (? N) sits 4 m from the pivot on one side; Kabir (600 N) sits 1 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 10 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?
  5. 5.⚖️ A lever bar balances. The load is 100 N at 30 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?
  6. 6.⚖️ A seesaw balances. Asha (? N) sits 4 m from the pivot on one side; Arjun (760 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  7. 7.⚖️ On a seesaw, a heavier child should sit … (a) on the pivot (b) farther from the pivot (c) anywhere (d) closer to the pivot
  8. 8.⚖️ A seesaw balances. Asha (400 N) sits 1 m from the pivot on one side; Zoya (200 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  9. 9.⚖️ A lever bar balances. The load is 100 N at 50 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?
  10. 10.⚖️ A seesaw balances. Ravi (760 N) sits ? m from the pivot on one side; Kabir (570 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  11. 11.⚖️ A seesaw balances. Ravi (480 N) sits ? m from the pivot on one side; Zoya (480 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  12. 12.⚖️ A seesaw balances. Arjun (640 N) sits 4 m from the pivot on one side; Meena (640 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  13. 13.⚖️ A seesaw balances. Asha (? N) sits 4 m from the pivot on one side; Meena (400 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  14. 14.⚖️ A seesaw balances. Arjun (220 N) sits 1 m from the pivot on one side; Meena (110 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  15. 15.⚖️ A seesaw balances. Arjun (? N) sits 2 m from the pivot on one side; Ravi (280 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  16. 16.⚖️ A seesaw balances. Arjun (280 N) sits 2 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?
  17. 17.⚖️ A lever bar balances. The load is 80 N at ? cm from the fulcrum. The effort is 60 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  18. 18.⚖️ A lever bar balances. The load is 320 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?
  19. 19.⚖️ A lever bar balances. The load is 160 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?
  20. 20.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 160 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  21. 21.⚖️ A seesaw balances. Asha (480 N) sits 4 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?
  22. 22.⚖️ A seesaw balances. Asha (260 N) sits ? m from the pivot on one side; Meena (260 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  23. 23.⚖️ A seesaw balances. Asha (520 N) sits 2 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?
  24. 24.⚖️ A seesaw balances. Asha (200 N) sits 2 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 seesaw balances. Asha (510 N) sits 2 m from the pivot on one side; Kabir (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  26. 26.⚖️ A lever bar balances. The load is 630 N at ? cm from the fulcrum. The effort is 270 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  27. 27.⚖️ A lever bar balances. The load is 600 N at 10 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?
  28. 28.⚖️ A seesaw balances. Zoya (? N) sits 2 m from the pivot on one side; Meena (300 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  29. 29.⚖️ A lever bar balances. The load is 160 N at 20 cm from the fulcrum. The effort is 80 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  30. 30.⚖️ A lever bar balances. The load is 400 N at ? cm from the fulcrum. The effort is 400 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  31. 31.⚖️ A seesaw balances. Kabir (760 N) sits 1 m from the pivot on one side; Asha (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  32. 32.⚖️ A lever bar balances. The load is 450 N at ? cm from the fulcrum. The effort is 100 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  33. 33.⚖️ A lever bar balances. The load is 300 N at 40 cm from the fulcrum. The effort is 400 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  34. 34.⚖️ A lever bar balances. The load is 80 N at ? cm from the fulcrum. The effort is 100 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  35. 35.⚖️ A seesaw balances. Asha (480 N) sits 1 m from the pivot on one side; Zoya (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  36. 36.⚖️ A lever bar balances. The load is 40 N at ? cm from the fulcrum. The effort is 30 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  37. 37.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 90 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  38. 38.⚖️ A lever bar balances. The load is 360 N at ? cm from the fulcrum. The effort is 450 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  39. 39.⚖️ A lever bar balances. The load is 300 N at 50 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?
  40. 40.⚖️ A seesaw balances. Meena (170 N) sits ? m from the pivot on one side; Kabir (170 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?

Answer key

  1. turning effects match
  2. 1
  3. 150
  4. 30
  5. 20
  6. 760
  7. closer to the pivot
  8. 2
  9. 100
  10. 3
  11. 4
  12. 4
  13. 300
  14. 2
  15. 560
  16. 280
  17. 30
  18. 40
  19. 40
  20. 560
  21. 480
  22. 2
  23. 260
  24. 400
  25. 340
  26. 30
  27. 100
  28. 300
  29. 40
  30. 40
  31. 190
  32. 20
  33. 30
  34. 50
  35. 120
  36. 30
  37. 210
  38. 50
  39. 300
  40. 1

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