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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 187 · 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.⚖️ Turning effect = force × … (a) mass of fulcrum (b) time taken (c) distance from fulcrum (d) colour of bar
  2. 2.⚖️ A seesaw balances. Kabir (280 N) sits 4 m from the pivot on one side; Ravi (560 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  3. 3.⚖️ On a seesaw, a heavier child should sit … (a) farther from the pivot (b) closer to the pivot (c) on the pivot (d) anywhere
  4. 4.⚖️ A seesaw balances. Ravi (330 N) sits 3 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?
  5. 5.⚖️ A lever bar balances. The load is 270 N at ? cm from the fulcrum. The effort is 270 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  6. 6.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 30 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  7. 7.⚖️ A lever balances when … (a) the bar is short (b) turning effects match (c) the fulcrum moves (d) both weights are equal
  8. 8.⚖️ A lever bar balances. The load is 160 N at 10 cm from the fulcrum. The effort is 20 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  9. 9.⚖️ A seesaw balances. Asha (? N) sits 4 m from the pivot on one side; Arjun (480 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  10. 10.⚖️ A seesaw balances. Arjun (340 N) sits ? m from the pivot on one side; Ravi (170 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  11. 11.⚖️ A lever bar balances. The load is 30 N at ? cm from the fulcrum. The effort is 20 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  12. 12.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 300 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  13. 13.⚖️ A lever bar balances. The load is 120 N at 30 cm from the fulcrum. The effort is 60 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  14. 14.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 80 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  15. 15.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 180 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  16. 16.⚖️ A lever bar balances. The load is 90 N at 50 cm from the fulcrum. The effort is ? N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  17. 17.⚖️ A seesaw balances. Ravi (110 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?
  18. 18.⚖️ A seesaw balances. Ravi (480 N) sits 2 m from the pivot on one side; Meena (240 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  19. 19.⚖️ A seesaw balances. Arjun (300 N) sits 1 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?
  20. 20.⚖️ A lever bar balances. The load is 420 N at ? cm from the fulcrum. The effort is 210 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  21. 21.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 20 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  22. 22.⚖️ A seesaw balances. Ravi (200 N) sits 4 m from the pivot on one side; Meena (800 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  23. 23.⚖️ A seesaw balances. Asha (130 N) sits ? m from the pivot on one side; Meena (520 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  24. 24.⚖️ A lever bar balances. The load is 350 N at ? cm from the fulcrum. The effort is 70 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  25. 25.⚖️ 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?
  26. 26.⚖️ A seesaw balances. Meena (160 N) sits ? m from the pivot on one side; Ravi (320 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  27. 27.⚖️ A seesaw balances. Kabir (180 N) sits 4 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?
  28. 28.⚖️ A seesaw balances. Arjun (? N) sits 2 m from the pivot on one side; Kabir (360 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  29. 29.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Asha (150 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  30. 30.⚖️ A seesaw balances. Kabir (? N) sits 3 m from the pivot on one side; Meena (540 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 250 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  32. 32.⚖️ A seesaw balances. Meena (440 N) sits 3 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?
  33. 33.⚖️ A seesaw balances. Kabir (180 N) sits 3 m from the pivot on one side; Meena (540 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  34. 34.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 180 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  35. 35.⚖️ A lever bar balances. The load is 150 N at 20 cm from the fulcrum. The effort is ? N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  36. 36.⚖️ A lever bar balances. The load is 490 N at 10 cm from the fulcrum. The effort is 70 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  37. 37.⚖️ A seesaw balances. Arjun (180 N) sits 4 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?
  38. 38.⚖️ A seesaw balances. Arjun (? N) sits 3 m from the pivot on one side; Meena (510 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  39. 39.⚖️ A seesaw balances. Arjun (420 N) sits 1 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?
  40. 40.⚖️ 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?

Answer key

  1. distance from fulcrum
  2. 2
  3. closer to the pivot
  4. 330
  5. 30
  6. 90
  7. turning effects match
  8. 80
  9. 480
  10. 1
  11. 20
  12. 600
  13. 60
  14. 160
  15. 240
  16. 150
  17. 1
  18. 4
  19. 150
  20. 30
  21. 200
  22. 1
  23. 4
  24. 10
  25. 10
  26. 2
  27. 720
  28. 540
  29. 600
  30. 360
  31. 350
  32. 330
  33. 1
  34. 630
  35. 100
  36. 70
  37. 720
  38. 170
  39. 140
  40. 40

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