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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 192 · 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 120 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?
  2. 2.⚖️ A lever bar balances. The load is 120 N at 50 cm from the fulcrum. The effort is 200 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  3. 3.⚖️ A lever bar balances. The load is 180 N at 40 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?
  4. 4.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 120 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  5. 5.⚖️ A seesaw balances. Zoya (220 N) sits 3 m from the pivot on one side; Asha (330 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  6. 6.⚖️ A lever balances when … (a) turning effects match (b) both weights are equal (c) the fulcrum moves (d) the bar is short
  7. 7.⚖️ A lever bar balances. The load is 350 N at 40 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?
  8. 8.⚖️ A lever bar balances. The load is 360 N at 40 cm from the fulcrum. The effort is 240 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  9. 9.⚖️ A seesaw balances. Meena (360 N) sits ? m from the pivot on one side; Ravi (240 N) sits 3 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 80 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  11. 11.⚖️ A seesaw balances. Arjun (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?
  12. 12.⚖️ A seesaw balances. Ravi (320 N) sits ? m from the pivot on one side; Meena (320 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  13. 13.⚖️ A seesaw balances. Meena (400 N) sits 2 m from the pivot on one side; Zoya (400 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  14. 14.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 60 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  15. 15.⚖️ A seesaw balances. Kabir (100 N) sits 3 m from the pivot on one side; Arjun (300 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  16. 16.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 500 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  17. 17.⚖️ A seesaw balances. Arjun (390 N) sits 4 m from the pivot on one side; Zoya (520 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  18. 18.⚖️ A lever bar balances. The load is 300 N at 20 cm from the fulcrum. The effort is 100 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  19. 19.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 240 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  20. 20.⚖️ A seesaw balances. Zoya (170 N) sits ? m from the pivot on one side; Kabir (680 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  21. 21.⚖️ A lever bar balances. The load is 200 N at ? cm from the fulcrum. The effort is 20 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  22. 22.⚖️ A lever bar balances. The load is 300 N at 40 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?
  23. 23.⚖️ A lever bar balances. The load is 200 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 lever bar balances. The load is 350 N at 20 cm from the fulcrum. The effort is 100 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  25. 25.⚖️ A lever bar balances. The load is 60 N at 50 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?
  26. 26.⚖️ Turning effect = force × … (a) time taken (b) mass of fulcrum (c) distance from fulcrum (d) colour of bar
  27. 27.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 90 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  28. 28.⚖️ A seesaw balances. Zoya (140 N) sits 4 m from the pivot on one side; Kabir (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  29. 29.⚖️ A lever bar balances. The load is 420 N at 50 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?
  30. 30.⚖️ A seesaw balances. Zoya (480 N) sits 1 m from the pivot on one side; Ravi (160 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  31. 31.⚖️ A seesaw balances. Arjun (280 N) sits 4 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?
  32. 32.⚖️ A lever bar balances. The load is 800 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?
  33. 33.⚖️ A seesaw balances. Ravi (360 N) sits ? m from the pivot on one side; Arjun (120 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  34. 34.⚖️ A lever bar balances. The load is 630 N at 50 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 seesaw balances. Meena (150 N) sits 4 m from the pivot on one side; Zoya (600 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  36. 36.⚖️ On a seesaw, a heavier child should sit … (a) closer to the pivot (b) on the pivot (c) anywhere (d) farther from the pivot
  37. 37.⚖️ A lever bar balances. The load is 80 N at 40 cm from the fulcrum. The effort is ? N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  38. 38.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Meena (160 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  39. 39.⚖️ A seesaw balances. Asha (170 N) sits ? m from the pivot on one side; Kabir (510 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  40. 40.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 210 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?

Answer key

  1. 120
  2. 30
  3. 120
  4. 240
  5. 2
  6. turning effects match
  7. 200
  8. 60
  9. 2
  10. 140
  11. 720
  12. 2
  13. 2
  14. 210
  15. 1
  16. 800
  17. 3
  18. 60
  19. 600
  20. 4
  21. 10
  22. 120
  23. 20
  24. 70
  25. 150
  26. distance from fulcrum
  27. 360
  28. 560
  29. 350
  30. 3
  31. 560
  32. 80
  33. 1
  34. 450
  35. 1
  36. closer to the pivot
  37. 40
  38. 320
  39. 3
  40. 560

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