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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 33 · 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 ? N at 10 cm from the fulcrum. The effort is 10 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  2. 2.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 200 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  3. 3.⚖️ A seesaw balances. Meena (? N) sits 4 m from the pivot on one side; Ravi (600 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  4. 4.⚖️ A lever balances when … (a) the bar is short (b) both weights are equal (c) the fulcrum moves (d) turning effects match
  5. 5.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 20 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  6. 6.⚖️ A seesaw balances. Ravi (570 N) sits 3 m from the pivot on one side; Kabir (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  7. 7.⚖️ A seesaw balances. Zoya (? N) sits 3 m from the pivot on one side; Meena (390 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  8. 8.⚖️ Turning effect = force × … (a) time taken (b) mass of fulcrum (c) distance from fulcrum (d) colour of bar
  9. 9.⚖️ A lever bar balances. The load is 1000 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?
  10. 10.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Zoya (360 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  11. 11.⚖️ A seesaw balances. Ravi (280 N) sits 4 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?
  12. 12.⚖️ A seesaw balances. Meena (? N) sits 1 m from the pivot on one side; Arjun (180 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  13. 13.⚖️ A seesaw balances. Arjun (120 N) sits 1 m from the pivot on one side; Zoya (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  14. 14.⚖️ A lever bar balances. The load is 300 N at 50 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?
  15. 15.⚖️ A seesaw balances. Kabir (480 N) sits 4 m from the pivot on one side; Meena (640 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  16. 16.⚖️ A seesaw balances. Asha (400 N) sits ? m from the pivot on one side; Meena (300 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  17. 17.⚖️ A seesaw balances. Asha (190 N) sits 4 m from the pivot on one side; Kabir (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  18. 18.⚖️ A seesaw balances. Zoya (390 N) sits ? m from the pivot on one side; Arjun (130 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  19. 19.⚖️ A seesaw balances. Ravi (420 N) sits 2 m from the pivot on one side; Meena (280 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  20. 20.⚖️ 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?
  21. 21.⚖️ A seesaw balances. Ravi (280 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?
  22. 22.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Meena (220 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  23. 23.⚖️ A lever bar balances. The load is 160 N at 20 cm from the fulcrum. The effort is ? N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  24. 24.⚖️ A seesaw balances. Asha (420 N) sits 3 m from the pivot on one side; Ravi (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  25. 25.⚖️ A seesaw balances. Meena (? N) sits 2 m from the pivot on one side; Arjun (400 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  26. 26.⚖️ A seesaw balances. Zoya (110 N) sits 1 m from the pivot on one side; Arjun (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  27. 27.⚖️ A seesaw balances. Zoya (560 N) sits 2 m from the pivot on one side; Asha (280 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  28. 28.⚖️ A seesaw balances. Zoya (570 N) sits 1 m from the pivot on one side; Meena (190 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  29. 29.⚖️ A lever bar balances. The load is 360 N at ? cm from the fulcrum. The effort is 180 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  30. 30.⚖️ A seesaw balances. Arjun (440 N) sits 3 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?
  31. 31.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Meena (400 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  32. 32.⚖️ On a seesaw, a heavier child should sit … (a) on the pivot (b) closer to the pivot (c) anywhere (d) farther from the pivot
  33. 33.⚖️ A lever bar balances. The load is 60 N at ? cm from the fulcrum. The effort is 90 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  34. 34.⚖️ A seesaw balances. Arjun (130 N) sits 3 m from the pivot on one side; Meena (390 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  35. 35.⚖️ A seesaw balances. Meena (? N) sits 1 m from the pivot on one side; Kabir (100 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  36. 36.⚖️ A seesaw balances. Meena (? N) sits 3 m from the pivot on one side; Ravi (510 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  37. 37.⚖️ A lever bar balances. The load is 270 N at 10 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?
  38. 38.⚖️ A seesaw balances. Ravi (540 N) sits 1 m from the pivot on one side; Zoya (180 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  39. 39.⚖️ A lever bar balances. The load is 60 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?
  40. 40.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 30 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?

Answer key

  1. 30
  2. 400
  3. 600
  4. turning effects match
  5. 70
  6. 570
  7. 130
  8. distance from fulcrum
  9. 500
  10. 360
  11. 560
  12. 180
  13. 120
  14. 300
  15. 3
  16. 3
  17. 760
  18. 1
  19. 3
  20. 70
  21. 420
  22. 440
  23. 40
  24. 420
  25. 400
  26. 110
  27. 4
  28. 3
  29. 30
  30. 330
  31. 200
  32. closer to the pivot
  33. 30
  34. 1
  35. 400
  36. 340
  37. 90
  38. 3
  39. 40
  40. 60

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