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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 586 · 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 250 N at 30 cm from the fulcrum. The effort is 150 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  2. 2.⚖️ A lever bar balances. The load is 300 N at ? cm from the fulcrum. The effort is 100 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  3. 3.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) on the pivot (c) farther from the pivot (d) closer to the pivot
  4. 4.⚖️ A lever bar balances. The load is 280 N at ? cm from the fulcrum. The effort is 70 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  5. 5.⚖️ A seesaw balances. Asha (360 N) sits 2 m from the pivot on one side; Meena (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  6. 6.⚖️ Turning effect = force × … (a) mass of fulcrum (b) time taken (c) colour of bar (d) distance from fulcrum
  7. 7.⚖️ A seesaw balances. Asha (100 N) sits ? m from the pivot on one side; Ravi (100 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  8. 8.⚖️ A seesaw balances. Zoya (440 N) sits 3 m from the pivot on one side; Kabir (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  9. 9.⚖️ A lever bar balances. The load is 120 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?
  10. 10.⚖️ A lever bar balances. The load is 180 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?
  11. 11.⚖️ A lever bar balances. The load is 60 N at 40 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?
  12. 12.⚖️ A seesaw balances. Kabir (? N) sits 4 m from the pivot on one side; Asha (680 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  13. 13.⚖️ A lever bar balances. The load is 400 N at 40 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?
  14. 14.⚖️ A lever bar balances. The load is 600 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?
  15. 15.⚖️ A lever bar balances. The load is 90 N at 30 cm from the fulcrum. The effort is 30 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  16. 16.⚖️ A lever bar balances. The load is 50 N at 40 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?
  17. 17.⚖️ A seesaw balances. Kabir (480 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?
  18. 18.⚖️ A lever balances when … (a) both weights are equal (b) the bar is short (c) turning effects match (d) the fulcrum moves
  19. 19.⚖️ A lever bar balances. The load is 250 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?
  20. 20.⚖️ A lever bar balances. The load is 100 N at 20 cm from the fulcrum. The effort is 20 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  21. 21.⚖️ A lever bar balances. The load is 160 N at 10 cm from the fulcrum. The effort is 20 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  22. 22.⚖️ A seesaw balances. Kabir (360 N) sits 4 m from the pivot on one side; Ravi (720 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 ? N at 20 cm from the fulcrum. The effort is 120 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  24. 24.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Arjun (170 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  25. 25.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Meena (170 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  26. 26.⚖️ A lever bar balances. The load is 280 N at 20 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?
  27. 27.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 270 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 810 N at 30 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?
  29. 29.⚖️ A seesaw balances. Ravi (320 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?
  30. 30.⚖️ A seesaw balances. Asha (? N) sits 3 m from the pivot on one side; Meena (600 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  31. 31.⚖️ A lever bar balances. The load is 420 N at ? cm from the fulcrum. The effort is 140 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  32. 32.⚖️ A seesaw balances. Zoya (380 N) sits 4 m from the pivot on one side; Arjun (760 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  33. 33.⚖️ A seesaw balances. Arjun (300 N) sits 4 m from the pivot on one side; Ravi (600 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  34. 34.⚖️ A seesaw balances. Zoya (100 N) sits ? m from the pivot on one side; Ravi (200 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  35. 35.⚖️ A seesaw balances. Ravi (480 N) sits 1 m from the pivot on one side; Asha (120 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  36. 36.⚖️ A seesaw balances. Kabir (160 N) sits ? m from the pivot on one side; Ravi (640 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  37. 37.⚖️ A lever bar balances. The load is 900 N at ? cm from the fulcrum. The effort is 500 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  38. 38.⚖️ A seesaw balances. Asha (160 N) sits 2 m from the pivot on one side; Meena (320 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  39. 39.⚖️ A seesaw balances. Meena (480 N) sits ? m from the pivot on one side; Zoya (240 N) sits 4 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 50 cm from the fulcrum. The effort is 150 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?

Answer key

  1. 50
  2. 20
  3. closer to the pivot
  4. 10
  5. 360
  6. distance from fulcrum
  7. 1
  8. 330
  9. 20
  10. 60
  11. 120
  12. 510
  13. 80
  14. 60
  15. 90
  16. 50
  17. 120
  18. turning effects match
  19. 200
  20. 100
  21. 80
  22. 2
  23. 360
  24. 680
  25. 510
  26. 70
  27. 810
  28. 270
  29. 320
  30. 200
  31. 20
  32. 2
  33. 2
  34. 2
  35. 4
  36. 4
  37. 50
  38. 1
  39. 2
  40. 150

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