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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 520 · 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 280 N at 30 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?
  2. 2.⚖️ On a seesaw, a heavier child should sit … (a) closer to the pivot (b) on the pivot (c) anywhere (d) farther from the pivot
  3. 3.⚖️ A lever bar balances. The load is 280 N at ? cm from the fulcrum. The effort is 140 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  4. 4.⚖️ A lever bar balances. The load is 100 N at ? cm from the fulcrum. The effort is 100 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  5. 5.⚖️ A seesaw balances. Ravi (? N) sits 2 m from the pivot on one side; Kabir (220 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  6. 6.⚖️ A seesaw balances. Meena (510 N) sits 4 m from the pivot on one side; Arjun (680 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 280 N at 30 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?
  8. 8.⚖️ A lever balances when … (a) both weights are equal (b) turning effects match (c) the bar is short (d) the fulcrum moves
  9. 9.⚖️ A seesaw balances. Ravi (390 N) sits ? m from the pivot on one side; Arjun (390 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  10. 10.⚖️ A seesaw balances. Asha (150 N) sits ? m from the pivot on one side; Arjun (300 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  11. 11.⚖️ A seesaw balances. Arjun (200 N) sits 1 m from the pivot on one side; Asha (200 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  12. 12.⚖️ A seesaw balances. Arjun (380 N) sits 4 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. Asha (? N) sits 3 m from the pivot on one side; Kabir (540 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  14. 14.⚖️ A lever bar balances. The load is 350 N at ? cm from the fulcrum. The effort is 350 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  15. 15.⚖️ A seesaw balances. Zoya (100 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?
  16. 16.⚖️ A seesaw balances. Meena (180 N) sits ? m from the pivot on one side; Ravi (540 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  17. 17.⚖️ A seesaw balances. Ravi (? N) sits 3 m from the pivot on one side; Kabir (510 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  18. 18.⚖️ A lever bar balances. The load is 240 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?
  19. 19.⚖️ A seesaw balances. Meena (? N) sits 2 m from the pivot on one side; Kabir (200 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  20. 20.⚖️ A seesaw balances. Zoya (120 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?
  21. 21.⚖️ 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?
  22. 22.⚖️ A lever bar balances. The load is 90 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?
  23. 23.⚖️ A seesaw balances. Arjun (? N) sits 2 m from the pivot on one side; Meena (240 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  24. 24.⚖️ A lever bar balances. The load is 280 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?
  25. 25.⚖️ A seesaw balances. Meena (220 N) sits 1 m from the pivot on one side; Kabir (110 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  26. 26.⚖️ A seesaw balances. Ravi (600 N) sits 1 m from the pivot on one side; Arjun (150 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  27. 27.⚖️ A lever bar balances. The load is 90 N at ? cm from the fulcrum. The effort is 90 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  28. 28.⚖️ A lever bar balances. The load is 100 N at ? cm from the fulcrum. The effort is 40 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  29. 29.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 200 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  30. 30.⚖️ A seesaw balances. Ravi (480 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?
  31. 31.⚖️ A seesaw balances. Kabir (100 N) sits 3 m from the pivot on one side; Asha (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  32. 32.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 210 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  33. 33.⚖️ A seesaw balances. Zoya (? N) sits 1 m from the pivot on one side; Arjun (190 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  34. 34.⚖️ A seesaw balances. Ravi (380 N) sits ? m from the pivot on one side; Kabir (380 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  35. 35.⚖️ A seesaw balances. Meena (? N) sits 4 m from the pivot on one side; Zoya (400 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  36. 36.⚖️ A seesaw balances. Ravi (? N) sits 3 m from the pivot on one side; Arjun (450 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 ? N at 50 cm from the fulcrum. The effort is 500 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  38. 38.⚖️ Turning effect = force × … (a) time taken (b) distance from fulcrum (c) mass of fulcrum (d) colour of bar
  39. 39.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 20 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  40. 40.⚖️ A seesaw balances. Asha (220 N) sits 1 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?

Answer key

  1. 120
  2. closer to the pivot
  3. 20
  4. 50
  5. 110
  6. 3
  7. 70
  8. turning effects match
  9. 3
  10. 2
  11. 1
  12. 760
  13. 540
  14. 50
  15. 200
  16. 3
  17. 170
  18. 90
  19. 300
  20. 240
  21. 120
  22. 30
  23. 480
  24. 80
  25. 2
  26. 4
  27. 30
  28. 20
  29. 400
  30. 240
  31. 300
  32. 280
  33. 380
  34. 2
  35. 100
  36. 150
  37. 900
  38. distance from fulcrum
  39. 40
  40. 110

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