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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 145 · 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 seesaw balances. Ravi (380 N) sits ? m from the pivot on one side; Zoya (380 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  2. 2.⚖️ Turning effect = force × … (a) time taken (b) mass of fulcrum (c) colour of bar (d) distance from fulcrum
  3. 3.⚖️ A seesaw balances. Ravi (300 N) sits ? m from the pivot on one side; Kabir (450 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  4. 4.⚖️ A lever bar balances. The load is 270 N at ? cm from the fulcrum. The effort is 180 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  5. 5.⚖️ On a seesaw, a heavier child should sit … (a) closer to the pivot (b) on the pivot (c) farther from the pivot (d) anywhere
  6. 6.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 80 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  7. 7.⚖️ A seesaw balances. Zoya (? N) sits 4 m from the pivot on one side; Arjun (760 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  8. 8.⚖️ A seesaw balances. Meena (170 N) sits 3 m from the pivot on one side; Kabir (510 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  9. 9.⚖️ A seesaw balances. Kabir (130 N) sits ? m from the pivot on one side; Meena (130 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  10. 10.⚖️ A lever balances when … (a) turning effects match (b) the bar is short (c) the fulcrum moves (d) both weights are equal
  11. 11.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 200 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  12. 12.⚖️ A seesaw balances. Kabir (200 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?
  13. 13.⚖️ A seesaw balances. Meena (240 N) sits 4 m from the pivot on one side; Ravi (480 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  14. 14.⚖️ A seesaw balances. Meena (200 N) sits 3 m from the pivot on one side; Kabir (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  15. 15.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 140 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  16. 16.⚖️ A lever bar balances. The load is 120 N at 50 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?
  17. 17.⚖️ A seesaw balances. Ravi (? 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?
  18. 18.⚖️ A seesaw balances. Arjun (220 N) sits 3 m from the pivot on one side; Kabir (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  19. 19.⚖️ A lever bar balances. The load is 270 N at 40 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?
  20. 20.⚖️ A lever bar balances. The load is 450 N at 50 cm from the fulcrum. The effort is 450 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  21. 21.⚖️ A seesaw balances. Asha (600 N) sits ? m from the pivot on one side; Zoya (200 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  22. 22.⚖️ A seesaw balances. Arjun (? N) sits 2 m from the pivot on one side; Asha (400 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  23. 23.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 90 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  24. 24.⚖️ A lever bar balances. The load is 60 N at 10 cm from the fulcrum. The effort is 10 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 300 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?
  26. 26.⚖️ A seesaw balances. Kabir (? N) sits 1 m from the pivot on one side; Zoya (160 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  27. 27.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 160 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  28. 28.⚖️ A lever bar balances. The load is 240 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?
  29. 29.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Kabir (170 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  30. 30.⚖️ A lever bar balances. The load is 70 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?
  31. 31.⚖️ A lever bar balances. The load is 80 N at ? cm from the fulcrum. The effort is 40 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  32. 32.⚖️ 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?
  33. 33.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 80 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  34. 34.⚖️ A seesaw balances. Meena (260 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?
  35. 35.⚖️ A seesaw balances. Arjun (340 N) sits 2 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?
  36. 36.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Kabir (200 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  37. 37.⚖️ A seesaw balances. Ravi (380 N) sits 2 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?
  38. 38.⚖️ A seesaw balances. Ravi (760 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?
  39. 39.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 360 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  40. 40.⚖️ A seesaw balances. Ravi (720 N) sits 1 m from the pivot on one side; Kabir (180 N) sits ? m from the pivot on the other side. What is the missing distance in metres?

Answer key

  1. 2
  2. distance from fulcrum
  3. 3
  4. 20
  5. closer to the pivot
  6. 240
  7. 570
  8. 1
  9. 1
  10. turning effects match
  11. 1000
  12. 2
  13. 2
  14. 300
  15. 490
  16. 60
  17. 400
  18. 330
  19. 120
  20. 50
  21. 1
  22. 600
  23. 90
  24. 60
  25. 200
  26. 480
  27. 720
  28. 60
  29. 680
  30. 50
  31. 10
  32. 20
  33. 400
  34. 2
  35. 340
  36. 600
  37. 380
  38. 190
  39. 900
  40. 4

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