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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 134 · 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) time taken (b) mass of fulcrum (c) distance from fulcrum (d) colour of bar
  2. 2.⚖️ A seesaw balances. Asha (160 N) sits 4 m from the pivot on one side; Ravi (640 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  3. 3.⚖️ A seesaw balances. Asha (150 N) sits ? m from the pivot on one side; Arjun (150 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  4. 4.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 360 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  5. 5.⚖️ A lever bar balances. The load is 120 N at ? cm from the fulcrum. The effort is 60 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  6. 6.⚖️ A lever bar balances. The load is 700 N at 50 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?
  7. 7.⚖️ A seesaw balances. Zoya (260 N) sits 3 m from the pivot on one side; Asha (390 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 630 N at 20 cm from the fulcrum. The effort is 140 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  9. 9.⚖️ A seesaw balances. Meena (? N) sits 4 m from the pivot on one side; Zoya (720 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  10. 10.⚖️ A lever bar balances. The load is 120 N at 30 cm from the fulcrum. The effort is 120 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  11. 11.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Ravi (120 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  12. 12.⚖️ A lever balances when … (a) the fulcrum moves (b) both weights are equal (c) the bar is short (d) turning effects match
  13. 13.⚖️ A seesaw balances. Kabir (520 N) sits 1 m from the pivot on one side; Asha (130 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 270 N at 40 cm from the fulcrum. The effort is 360 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  15. 15.⚖️ A seesaw balances. Zoya (440 N) sits 3 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?
  16. 16.⚖️ A lever bar balances. The load is 300 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?
  17. 17.⚖️ 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?
  18. 18.⚖️ A seesaw balances. Ravi (200 N) sits 2 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?
  19. 19.⚖️ On a seesaw, a heavier child should sit … (a) on the pivot (b) farther from the pivot (c) anywhere (d) closer to the pivot
  20. 20.⚖️ A lever bar balances. The load is 360 N at ? cm from the fulcrum. The effort is 450 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  21. 21.⚖️ 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?
  22. 22.⚖️ A lever bar balances. The load is 630 N at ? cm from the fulcrum. The effort is 270 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  23. 23.⚖️ A seesaw balances. Kabir (300 N) sits ? m from the pivot on one side; Ravi (600 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  24. 24.⚖️ A seesaw balances. Kabir (170 N) sits 3 m from the pivot on one side; Meena (510 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  25. 25.⚖️ A seesaw balances. Zoya (360 N) sits 2 m from the pivot on one side; Arjun (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  26. 26.⚖️ A seesaw balances. Meena (? N) sits 3 m from the pivot on one side; Arjun (330 N) sits 2 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 10 cm from the fulcrum. The effort is 30 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 630 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?
  29. 29.⚖️ A seesaw balances. Arjun (330 N) sits 2 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?
  30. 30.⚖️ A seesaw balances. Ravi (? N) sits 2 m from the pivot on one side; Zoya (300 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  31. 31.⚖️ A seesaw balances. Kabir (? N) sits 1 m from the pivot on one side; Meena (200 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  32. 32.⚖️ A seesaw balances. Asha (? N) sits 4 m from the pivot on one side; Ravi (480 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  33. 33.⚖️ A lever bar balances. The load is 300 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?
  34. 34.⚖️ A seesaw balances. Zoya (160 N) sits ? m from the pivot on one side; Kabir (480 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  35. 35.⚖️ A seesaw balances. Zoya (150 N) sits ? m from the pivot on one side; Ravi (150 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  36. 36.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 20 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  37. 37.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 300 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  38. 38.⚖️ A lever bar balances. The load is 540 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?
  39. 39.⚖️ A seesaw balances. Meena (220 N) sits 4 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?
  40. 40.⚖️ A seesaw balances. Asha (180 N) sits ? m from the pivot on one side; Ravi (360 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?

Answer key

  1. distance from fulcrum
  2. 1
  3. 1
  4. 180
  5. 30
  6. 350
  7. 2
  8. 90
  9. 180
  10. 30
  11. 480
  12. turning effects match
  13. 4
  14. 30
  15. 330
  16. 200
  17. 50
  18. 1
  19. closer to the pivot
  20. 50
  21. 30
  22. 30
  23. 4
  24. 1
  25. 240
  26. 220
  27. 60
  28. 270
  29. 220
  30. 150
  31. 400
  32. 240
  33. 50
  34. 3
  35. 1
  36. 30
  37. 200
  38. 90
  39. 440
  40. 2

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