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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 261 · 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.⚖️ On a seesaw, a heavier child should sit … (a) farther from the pivot (b) on the pivot (c) anywhere (d) closer to the pivot
  2. 2.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 100 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  3. 3.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 140 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  4. 4.⚖️ A lever bar balances. The load is 240 N at ? cm from the fulcrum. The effort is 60 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  5. 5.⚖️ A lever bar balances. The load is 540 N at 20 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?
  6. 6.⚖️ A seesaw balances. Zoya (320 N) sits ? m from the pivot on one side; Meena (160 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  7. 7.⚖️ A lever balances when … (a) both weights are equal (b) the bar is short (c) turning effects match (d) the fulcrum moves
  8. 8.⚖️ A lever bar balances. The load is 630 N at ? cm from the fulcrum. The effort is 90 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  9. 9.⚖️ A lever bar balances. The load is 180 N at ? cm from the fulcrum. The effort is 90 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  10. 10.⚖️ A seesaw balances. Kabir (720 N) sits 1 m from the pivot on one side; Zoya (180 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  11. 11.⚖️ A seesaw balances. Ravi (? N) sits 3 m from the pivot on one side; Meena (450 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  12. 12.⚖️ A seesaw balances. Ravi (100 N) sits ? m from the pivot on one side; Zoya (100 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  13. 13.⚖️ A seesaw balances. Kabir (140 N) sits 3 m from the pivot on one side; Meena (420 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  14. 14.⚖️ A seesaw balances. Arjun (? N) sits 3 m from the pivot on one side; Asha (330 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  15. 15.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 200 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 140 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?
  17. 17.⚖️ A seesaw balances. Arjun (? N) sits 3 m from the pivot on one side; Meena (600 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  18. 18.⚖️ Turning effect = force × … (a) mass of fulcrum (b) time taken (c) colour of bar (d) distance from fulcrum
  19. 19.⚖️ A seesaw balances. Asha (640 N) sits ? m from the pivot on one side; Zoya (640 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  20. 20.⚖️ A seesaw balances. Kabir (320 N) sits 3 m from the pivot on one side; Meena (480 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  21. 21.⚖️ A lever bar balances. The load is ? N at 10 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?
  22. 22.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Arjun (220 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  23. 23.⚖️ A lever bar balances. The load is 800 N at ? cm from the fulcrum. The effort is 200 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  24. 24.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 320 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  25. 25.⚖️ A lever bar balances. The load is 360 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?
  26. 26.⚖️ A seesaw balances. Meena (400 N) sits 1 m from the pivot on one side; Arjun (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  27. 27.⚖️ A lever bar balances. The load is 210 N at 40 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?
  28. 28.⚖️ A seesaw balances. Ravi (440 N) sits 2 m from the pivot on one side; Asha (220 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  29. 29.⚖️ A seesaw balances. Ravi (450 N) sits 2 m from the pivot on one side; Meena (300 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  30. 30.⚖️ A lever bar balances. The load is ? N at 10 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?
  31. 31.⚖️ A lever bar balances. The load is 140 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?
  32. 32.⚖️ A seesaw balances. Kabir (480 N) sits ? m from the pivot on one side; Meena (160 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  33. 33.⚖️ A seesaw balances. Ravi (480 N) sits 4 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?
  34. 34.⚖️ A lever bar balances. The load is 700 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?
  35. 35.⚖️ A lever bar balances. The load is ? N at 40 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?
  36. 36.⚖️ A seesaw balances. Meena (330 N) sits 4 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?
  37. 37.⚖️ A seesaw balances. Zoya (? N) sits 2 m from the pivot on one side; Arjun (200 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  38. 38.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 150 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  39. 39.⚖️ A lever bar balances. The load is 360 N at 10 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?
  40. 40.⚖️ A seesaw balances. Meena (160 N) sits 3 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?

Answer key

  1. closer to the pivot
  2. 1000
  3. 420
  4. 20
  5. 90
  6. 1
  7. turning effects match
  8. 10
  9. 30
  10. 4
  11. 150
  12. 1
  13. 1
  14. 110
  15. 400
  16. 60
  17. 200
  18. distance from fulcrum
  19. 4
  20. 2
  21. 280
  22. 110
  23. 20
  24. 720
  25. 90
  26. 200
  27. 280
  28. 4
  29. 3
  30. 80
  31. 280
  32. 1
  33. 480
  34. 200
  35. 300
  36. 440
  37. 100
  38. 400
  39. 40
  40. 480

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