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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 188 · 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) colour of bar (b) time taken (c) mass of fulcrum (d) distance from fulcrum
  2. 2.⚖️ A lever balances when … (a) the bar is short (b) turning effects match (c) both weights are equal (d) the fulcrum moves
  3. 3.⚖️ A seesaw balances. Kabir (130 N) sits 1 m from the pivot on one side; Arjun (130 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  4. 4.⚖️ A seesaw balances. Meena (440 N) sits ? m from the pivot on one side; Kabir (440 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  5. 5.⚖️ A seesaw balances. Zoya (130 N) sits 4 m from the pivot on one side; Meena (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  6. 6.⚖️ A lever bar balances. The load is 40 N at 40 cm from the fulcrum. The effort is ? N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  7. 7.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Kabir (220 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  8. 8.⚖️ A lever bar balances. The load is 360 N at 50 cm from the fulcrum. The effort is 450 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  9. 9.⚖️ A seesaw balances. Meena (760 N) sits 2 m from the pivot on one side; Zoya (380 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  10. 10.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 360 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  11. 11.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) farther from the pivot (c) closer to the pivot (d) on the pivot
  12. 12.⚖️ A seesaw balances. Arjun (140 N) sits ? m from the pivot on one side; Kabir (560 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  13. 13.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 40 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  14. 14.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 120 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  15. 15.⚖️ A lever bar balances. The load is 180 N at 30 cm from the fulcrum. The effort is ? N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  16. 16.⚖️ A lever bar balances. The load is 540 N at 10 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?
  17. 17.⚖️ A seesaw balances. Meena (150 N) sits ? m from the pivot on one side; Asha (450 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  18. 18.⚖️ A lever bar balances. The load is 270 N at 20 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?
  19. 19.⚖️ A seesaw balances. Meena (510 N) sits 3 m from the pivot on one side; Ravi (510 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  20. 20.⚖️ A seesaw balances. Kabir (440 N) sits ? m from the pivot on one side; Arjun (330 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  21. 21.⚖️ A seesaw balances. Arjun (260 N) sits ? m from the pivot on one side; Meena (130 N) sits 2 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 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  23. 23.⚖️ A lever bar balances. The load is 400 N at 50 cm from the fulcrum. The effort is 500 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  24. 24.⚖️ A seesaw balances. Meena (160 N) sits ? m from the pivot on one side; Asha (640 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  25. 25.⚖️ A seesaw balances. Meena (320 N) sits ? m from the pivot on one side; Ravi (160 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  26. 26.⚖️ A seesaw balances. Arjun (150 N) sits 3 m from the pivot on one side; Meena (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  27. 27.⚖️ A seesaw balances. Asha (440 N) sits ? m from the pivot on one side; Zoya (440 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  28. 28.⚖️ A seesaw balances. Meena (? N) sits 3 m from the pivot on one side; Asha (390 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  29. 29.⚖️ A lever bar balances. The load is 60 N at 40 cm from the fulcrum. The effort is ? N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  30. 30.⚖️ A seesaw balances. Zoya (340 N) sits 4 m from the pivot on one side; Asha (680 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  31. 31.⚖️ A lever bar balances. The load is ? N at 40 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?
  32. 32.⚖️ A seesaw balances. Kabir (240 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?
  33. 33.⚖️ A seesaw balances. Kabir (600 N) sits ? m from the pivot on one side; Meena (150 N) sits 4 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 50 cm from the fulcrum. The effort is 100 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  35. 35.⚖️ A lever bar balances. The load is 100 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?
  36. 36.⚖️ A seesaw balances. Arjun (360 N) sits 2 m from the pivot on one side; Kabir (360 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  37. 37.⚖️ A seesaw balances. Arjun (140 N) sits 1 m from the pivot on one side; Meena (140 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  38. 38.⚖️ A seesaw balances. Arjun (320 N) sits 1 m from the pivot on one side; Zoya (160 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  39. 39.⚖️ A lever bar balances. The load is 300 N at 30 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?
  40. 40.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Zoya (160 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?

Answer key

  1. distance from fulcrum
  2. turning effects match
  3. 1
  4. 4
  5. 520
  6. 40
  7. 440
  8. 40
  9. 4
  10. 540
  11. closer to the pivot
  12. 4
  13. 30
  14. 600
  15. 270
  16. 90
  17. 3
  18. 60
  19. 3
  20. 3
  21. 1
  22. 120
  23. 40
  24. 4
  25. 1
  26. 450
  27. 4
  28. 390
  29. 120
  30. 2
  31. 500
  32. 240
  33. 1
  34. 120
  35. 20
  36. 2
  37. 1
  38. 2
  39. 90
  40. 480

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