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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 583 · 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 balances when … (a) the fulcrum moves (b) both weights are equal (c) turning effects match (d) the bar is short
  2. 2.⚖️ A seesaw balances. Asha (600 N) sits 1 m from the pivot on one side; Ravi (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  3. 3.⚖️ On a seesaw, a heavier child should sit … (a) closer to the pivot (b) anywhere (c) on the pivot (d) farther from the pivot
  4. 4.⚖️ A lever bar balances. The load is 50 N at 50 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?
  5. 5.⚖️ A seesaw balances. Ravi (380 N) sits 3 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?
  6. 6.⚖️ A seesaw balances. Ravi (340 N) sits ? m from the pivot on one side; Asha (510 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  7. 7.⚖️ A seesaw balances. Zoya (300 N) sits 4 m from the pivot on one side; Arjun (400 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  8. 8.⚖️ A lever bar balances. The load is 700 N at ? cm from the fulcrum. The effort is 350 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  9. 9.⚖️ 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?
  10. 10.⚖️ A lever bar balances. The load is 350 N at ? cm from the fulcrum. The effort is 150 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  11. 11.⚖️ A lever bar balances. The load is 700 N at ? cm from the fulcrum. The effort is 300 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  12. 12.⚖️ A seesaw balances. Ravi (110 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?
  13. 13.⚖️ A lever bar balances. The load is 160 N at ? cm from the fulcrum. The effort is 20 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  14. 14.⚖️ A lever bar balances. The load is 150 N at ? cm from the fulcrum. The effort is 60 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  15. 15.⚖️ A seesaw balances. Kabir (200 N) sits ? m from the pivot on one side; Zoya (600 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  16. 16.⚖️ A seesaw balances. Asha (720 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?
  17. 17.⚖️ A lever bar balances. The load is 120 N at ? cm from the fulcrum. The effort is 120 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  18. 18.⚖️ A seesaw balances. Ravi (? N) sits 3 m from the pivot on one side; Zoya (330 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  19. 19.⚖️ A seesaw balances. Arjun (520 N) sits ? m from the pivot on one side; Ravi (260 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  20. 20.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 100 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  21. 21.⚖️ A lever bar balances. The load is 120 N at 20 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. Arjun (340 N) sits 2 m from the pivot on one side; Meena (340 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  23. 23.⚖️ A seesaw balances. Asha (360 N) sits ? m from the pivot on one side; Kabir (540 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  24. 24.⚖️ A lever bar balances. The load is 720 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?
  25. 25.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 90 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  26. 26.⚖️ A lever bar balances. The load is 120 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?
  27. 27.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 100 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  28. 28.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 210 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  29. 29.⚖️ A seesaw balances. Meena (760 N) sits 1 m from the pivot on one side; Zoya (190 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  30. 30.⚖️ A seesaw balances. Kabir (130 N) sits ? m from the pivot on one side; Meena (260 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  31. 31.⚖️ A seesaw balances. Ravi (400 N) sits 1 m from the pivot on one side; Arjun (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  32. 32.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 40 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  33. 33.⚖️ Turning effect = force × … (a) time taken (b) mass of fulcrum (c) colour of bar (d) distance from fulcrum
  34. 34.⚖️ A seesaw balances. Kabir (300 N) sits 3 m from the pivot on one side; Asha (300 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  35. 35.⚖️ A seesaw balances. Zoya (110 N) sits 1 m from the pivot on one side; Ravi (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 540 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?
  37. 37.⚖️ A lever bar balances. The load is 450 N at 40 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?
  38. 38.⚖️ A seesaw balances. Kabir (480 N) sits 1 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?
  39. 39.⚖️ A lever bar balances. The load is 30 N at 50 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?
  40. 40.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 100 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?

Answer key

  1. turning effects match
  2. 150
  3. closer to the pivot
  4. 50
  5. 570
  6. 3
  7. 3
  8. 50
  9. 40
  10. 30
  11. 30
  12. 1
  13. 10
  14. 20
  15. 3
  16. 720
  17. 20
  18. 110
  19. 2
  20. 40
  21. 40
  22. 2
  23. 3
  24. 160
  25. 810
  26. 80
  27. 200
  28. 280
  29. 4
  30. 2
  31. 100
  32. 20
  33. distance from fulcrum
  34. 3
  35. 1
  36. 10
  37. 360
  38. 120
  39. 30
  40. 180

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