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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 316 · 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.⚖️ Turning effect = force × … (a) colour of bar (b) distance from fulcrum (c) mass of fulcrum (d) time taken
  2. 2.⚖️ A lever bar balances. The load is 90 N at ? cm from the fulcrum. The effort is 90 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  3. 3.⚖️ A seesaw balances. Zoya (380 N) sits ? m from the pivot on one side; Arjun (380 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  4. 4.⚖️ A seesaw balances. Kabir (400 N) sits 3 m from the pivot on one side; Asha (600 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  5. 5.⚖️ A seesaw balances. Arjun (? N) sits 2 m from the pivot on one side; Kabir (200 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  6. 6.⚖️ A lever bar balances. The load is 490 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?
  7. 7.⚖️ A lever bar balances. The load is 480 N at ? cm from the fulcrum. The effort is 180 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  8. 8.⚖️ A seesaw balances. Asha (560 N) sits 1 m from the pivot on one side; Ravi (140 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  9. 9.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) on the pivot (c) farther from the pivot (d) closer to the pivot
  10. 10.⚖️ A lever bar balances. The load is 560 N at 30 cm from the fulcrum. The effort is 210 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  11. 11.⚖️ A lever bar balances. The load is 240 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 lever bar balances. The load is 280 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?
  13. 13.⚖️ A lever bar balances. The load is 120 N at ? cm from the fulcrum. The effort is 240 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  14. 14.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 20 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  15. 15.⚖️ A seesaw balances. Ravi (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?
  16. 16.⚖️ A seesaw balances. Asha (110 N) sits ? m from the pivot on one side; Kabir (110 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  17. 17.⚖️ A seesaw balances. Arjun (120 N) sits 2 m from the pivot on one side; Kabir (240 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  18. 18.⚖️ A seesaw balances. Kabir (? N) sits 2 m from the pivot on one side; Arjun (200 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  19. 19.⚖️ A lever balances when … (a) turning effects match (b) the fulcrum moves (c) both weights are equal (d) the bar is short
  20. 20.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 160 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  21. 21.⚖️ A seesaw balances. Asha (300 N) sits 3 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?
  22. 22.⚖️ A seesaw balances. Arjun (360 N) sits 1 m from the pivot on one side; Ravi (180 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  23. 23.⚖️ A lever bar balances. The load is 480 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?
  24. 24.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 120 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 60 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?
  26. 26.⚖️ A seesaw balances. Kabir (? N) sits 3 m from the pivot on one side; Zoya (510 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  27. 27.⚖️ A lever bar balances. The load is 140 N at 40 cm from the fulcrum. The effort is 80 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  28. 28.⚖️ A seesaw balances. Meena (380 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?
  29. 29.⚖️ A lever bar balances. The load is 480 N at 10 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 lever bar balances. The load is ? N at 50 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?
  31. 31.⚖️ A seesaw balances. Ravi (? N) sits 2 m from the pivot on one side; Arjun (300 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  32. 32.⚖️ A seesaw balances. Asha (440 N) sits 4 m from the pivot on one side; Ravi (440 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  33. 33.⚖️ A seesaw balances. Arjun (? N) sits 1 m from the pivot on one side; Meena (170 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  34. 34.⚖️ A seesaw balances. Asha (300 N) sits 2 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?
  35. 35.⚖️ A seesaw balances. Asha (360 N) sits 2 m from the pivot on one side; Zoya (240 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 200 N at 20 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?
  37. 37.⚖️ A seesaw balances. Asha (600 N) sits 4 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?
  38. 38.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 200 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  39. 39.⚖️ A seesaw balances. Arjun (110 N) sits ? m from the pivot on one side; Asha (220 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  40. 40.⚖️ A seesaw balances. Asha (180 N) sits 3 m from the pivot on one side; Ravi (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?

Answer key

  1. distance from fulcrum
  2. 30
  3. 2
  4. 2
  5. 400
  6. 210
  7. 30
  8. 4
  9. closer to the pivot
  10. 80
  11. 300
  12. 280
  13. 40
  14. 180
  15. 2
  16. 1
  17. 1
  18. 400
  19. turning effects match
  20. 240
  21. 300
  22. 2
  23. 10
  24. 280
  25. 60
  26. 170
  27. 70
  28. 190
  29. 80
  30. 160
  31. 600
  32. 4
  33. 170
  34. 200
  35. 3
  36. 40
  37. 600
  38. 280
  39. 2
  40. 540

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