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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 281 · 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 90 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?
  2. 2.⚖️ Turning effect = force × … (a) mass of fulcrum (b) distance from fulcrum (c) time taken (d) colour of bar
  3. 3.⚖️ A lever bar balances. The load is 160 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?
  4. 4.⚖️ A lever balances when … (a) turning effects match (b) the bar is short (c) the fulcrum moves (d) both weights are equal
  5. 5.⚖️ A lever bar balances. The load is 500 N at ? cm from the fulcrum. The effort is 200 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  6. 6.⚖️ A seesaw balances. Ravi (? N) sits 4 m from the pivot on one side; Meena (400 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  7. 7.⚖️ On a seesaw, a heavier child should sit … (a) farther from the pivot (b) on the pivot (c) closer to the pivot (d) anywhere
  8. 8.⚖️ A seesaw balances. Zoya (? N) sits 1 m from the pivot on one side; Kabir (180 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  9. 9.⚖️ A seesaw balances. Kabir (? N) sits 4 m from the pivot on one side; Ravi (400 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  10. 10.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 160 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  11. 11.⚖️ A lever bar balances. The load is 200 N at 50 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?
  12. 12.⚖️ A seesaw balances. Arjun (220 N) sits ? m from the pivot on one side; Asha (110 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  13. 13.⚖️ A seesaw balances. Zoya (? N) sits 4 m from the pivot on one side; Arjun (440 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  14. 14.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 300 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  15. 15.⚖️ A seesaw balances. Asha (240 N) sits ? m from the pivot on one side; Ravi (480 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  16. 16.⚖️ A seesaw balances. Kabir (380 N) sits ? m from the pivot on one side; Asha (570 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  17. 17.⚖️ 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?
  18. 18.⚖️ 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?
  19. 19.⚖️ A lever bar balances. The load is 360 N at 20 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?
  20. 20.⚖️ A lever bar balances. The load is 250 N at 50 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?
  21. 21.⚖️ A lever bar balances. The load is 480 N at 30 cm from the fulcrum. The effort is ? N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  22. 22.⚖️ A seesaw balances. Asha (240 N) sits 1 m from the pivot on one side; Zoya (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  23. 23.⚖️ A seesaw balances. Meena (? N) sits 2 m from the pivot on one side; Ravi (400 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  24. 24.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 200 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  25. 25.⚖️ A lever bar balances. The load is 450 N at ? cm from the fulcrum. The effort is 450 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  26. 26.⚖️ A seesaw balances. Ravi (240 N) sits ? m from the pivot on one side; Arjun (480 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  27. 27.⚖️ A seesaw balances. Ravi (570 N) sits ? m from the pivot on one side; Arjun (760 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  28. 28.⚖️ A seesaw balances. Arjun (? N) sits 1 m from the pivot on one side; Asha (170 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 180 N at 50 cm from the fulcrum. The effort is 300 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  30. 30.⚖️ A lever bar balances. The load is 420 N at ? cm from the fulcrum. The effort is 280 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  31. 31.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 240 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  32. 32.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 160 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  33. 33.⚖️ A seesaw balances. Ravi (? N) sits 4 m from the pivot on one side; Kabir (480 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  34. 34.⚖️ A lever bar balances. The load is 720 N at ? cm from the fulcrum. The effort is 400 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  35. 35.⚖️ A seesaw balances. Kabir (440 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?
  36. 36.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 100 N at 40 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 20 cm from the fulcrum. The effort is 100 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  38. 38.⚖️ A seesaw balances. Asha (540 N) sits 3 m from the pivot on one side; Zoya (540 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 ? N at 20 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?
  40. 40.⚖️ A seesaw balances. Asha (680 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?

Answer key

  1. 60
  2. distance from fulcrum
  3. 40
  4. turning effects match
  5. 20
  6. 100
  7. closer to the pivot
  8. 540
  9. 400
  10. 640
  11. 250
  12. 1
  13. 110
  14. 800
  15. 4
  16. 3
  17. 240
  18. 60
  19. 180
  20. 250
  21. 240
  22. 120
  23. 200
  24. 300
  25. 50
  26. 4
  27. 4
  28. 510
  29. 30
  30. 40
  31. 480
  32. 320
  33. 240
  34. 50
  35. 4
  36. 400
  37. 400
  38. 3
  39. 360
  40. 4

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