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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 651 · 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 30 N at 40 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?
  2. 2.⚖️ A lever bar balances. The load is 300 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?
  3. 3.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) closer to the pivot (c) on the pivot (d) farther from the pivot
  4. 4.⚖️ A seesaw balances. Meena (? N) sits 2 m from the pivot on one side; Arjun (200 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  5. 5.⚖️ A lever bar balances. The load is 900 N at 50 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?
  6. 6.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 250 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  7. 7.⚖️ A lever bar balances. The load is 280 N at ? cm from the fulcrum. The effort is 70 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  8. 8.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 30 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  9. 9.⚖️ Turning effect = force × … (a) colour of bar (b) mass of fulcrum (c) distance from fulcrum (d) time taken
  10. 10.⚖️ A lever bar balances. The load is 140 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?
  11. 11.⚖️ A seesaw balances. Arjun (400 N) sits ? m from the pivot on one side; Asha (100 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  12. 12.⚖️ A lever bar balances. The load is 120 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?
  13. 13.⚖️ A lever bar balances. The load is ? N at 10 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?
  14. 14.⚖️ A lever bar balances. The load is ? N at 10 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?
  15. 15.⚖️ A seesaw balances. Arjun (390 N) sits 1 m from the pivot on one side; Zoya (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  16. 16.⚖️ A lever balances when … (a) turning effects match (b) the bar is short (c) both weights are equal (d) the fulcrum moves
  17. 17.⚖️ 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?
  18. 18.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 180 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  19. 19.⚖️ A lever bar balances. The load is 560 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?
  20. 20.⚖️ A seesaw balances. Ravi (400 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?
  21. 21.⚖️ A lever bar balances. The load is 400 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?
  22. 22.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 200 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  23. 23.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 250 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  24. 24.⚖️ A lever bar balances. The load is ? N at 40 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?
  25. 25.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 30 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  26. 26.⚖️ A seesaw balances. Zoya (680 N) sits ? m from the pivot on one side; Ravi (340 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  27. 27.⚖️ A seesaw balances. Kabir (570 N) sits 2 m from the pivot on one side; Meena (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  28. 28.⚖️ A seesaw balances. Meena (760 N) sits 1 m from the pivot on one side; Asha (190 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  29. 29.⚖️ A seesaw balances. Kabir (400 N) sits 4 m from the pivot on one side; Zoya (800 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 20 cm from the fulcrum. The effort is 20 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  31. 31.⚖️ A seesaw balances. Asha (120 N) sits 1 m from the pivot on one side; Kabir (120 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  32. 32.⚖️ A lever bar balances. The load is 540 N at 30 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?
  33. 33.⚖️ A lever bar balances. The load is 200 N at 30 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?
  34. 34.⚖️ A lever bar balances. The load is 100 N at 30 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?
  35. 35.⚖️ A lever bar balances. The load is 420 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?
  36. 36.⚖️ A lever bar balances. The load is 270 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?
  37. 37.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 80 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  38. 38.⚖️ A lever bar balances. The load is 400 N at ? cm from the fulcrum. The effort is 400 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  39. 39.⚖️ A seesaw balances. Asha (? N) sits 3 m from the pivot on one side; Ravi (510 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  40. 40.⚖️ 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?

Answer key

  1. 30
  2. 500
  3. closer to the pivot
  4. 200
  5. 500
  6. 450
  7. 10
  8. 180
  9. distance from fulcrum
  10. 40
  11. 1
  12. 80
  13. 600
  14. 630
  15. 130
  16. turning effects match
  17. 20
  18. 720
  19. 160
  20. 200
  21. 80
  22. 250
  23. 200
  24. 280
  25. 150
  26. 2
  27. 380
  28. 4
  29. 2
  30. 60
  31. 1
  32. 180
  33. 120
  34. 60
  35. 180
  36. 360
  37. 240
  38. 50
  39. 680
  40. 40

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