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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 529 · 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 180 N at 50 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?
  2. 2.⚖️ A lever balances when … (a) the bar is short (b) both weights are equal (c) turning effects match (d) the fulcrum moves
  3. 3.⚖️ A lever bar balances. The load is 450 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?
  4. 4.⚖️ A lever bar balances. The load is 400 N at 50 cm from the fulcrum. The effort is 250 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  5. 5.⚖️ A lever bar balances. The load is 150 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?
  6. 6.⚖️ A seesaw balances. Asha (190 N) sits 3 m from the pivot on one side; Meena (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  7. 7.⚖️ A lever bar balances. The load is 320 N at 30 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?
  8. 8.⚖️ A seesaw balances. Asha (? N) sits 3 m from the pivot on one side; Kabir (510 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  9. 9.⚖️ A seesaw balances. Zoya (? N) sits 1 m from the pivot on one side; Arjun (200 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  10. 10.⚖️ Turning effect = force × … (a) colour of bar (b) time taken (c) mass of fulcrum (d) distance from fulcrum
  11. 11.⚖️ A lever bar balances. The load is 160 N at 30 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 seesaw balances. Kabir (510 N) sits 2 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?
  13. 13.⚖️ A seesaw balances. Meena (110 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?
  14. 14.⚖️ A seesaw balances. Meena (150 N) sits ? m from the pivot on one side; Asha (300 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  15. 15.⚖️ A seesaw balances. Arjun (510 N) sits 1 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?
  16. 16.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Zoya (100 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  17. 17.⚖️ A lever bar balances. The load is 400 N at 50 cm from the fulcrum. The effort is 400 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  18. 18.⚖️ A lever bar balances. The load is 630 N at ? cm from the fulcrum. The effort is 350 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  19. 19.⚖️ A seesaw balances. Kabir (510 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?
  20. 20.⚖️ A seesaw balances. Arjun (220 N) sits ? m from the pivot on one side; Ravi (110 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  21. 21.⚖️ On a seesaw, a heavier child should sit … (a) farther from the pivot (b) on the pivot (c) anywhere (d) closer to the pivot
  22. 22.⚖️ A lever bar balances. The load is 270 N at 20 cm from the fulcrum. The effort is 60 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  23. 23.⚖️ A seesaw balances. Zoya (? N) sits 4 m from the pivot on one side; Arjun (720 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  24. 24.⚖️ A lever bar balances. The load is 360 N at ? cm from the fulcrum. The effort is 90 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  25. 25.⚖️ A lever bar balances. The load is 810 N at 20 cm from the fulcrum. The effort is 180 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  26. 26.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 20 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  27. 27.⚖️ A lever bar balances. The load is 100 N at 10 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?
  28. 28.⚖️ A lever bar balances. The load is 200 N at ? cm from the fulcrum. The effort is 250 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  29. 29.⚖️ A seesaw balances. Arjun (? N) sits 1 m from the pivot on one side; Kabir (150 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  30. 30.⚖️ A seesaw balances. Kabir (340 N) sits 4 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?
  31. 31.⚖️ A seesaw balances. Meena (100 N) sits ? m from the pivot on one side; Zoya (200 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  32. 32.⚖️ A seesaw balances. Ravi (800 N) sits ? m from the pivot on one side; Zoya (400 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  33. 33.⚖️ A seesaw balances. Ravi (? 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?
  34. 34.⚖️ A lever bar balances. The load is 30 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?
  35. 35.⚖️ A seesaw balances. Ravi (360 N) sits ? m from the pivot on one side; Kabir (180 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  36. 36.⚖️ A seesaw balances. Meena (170 N) sits ? m from the pivot on one side; Zoya (680 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 ? 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?
  38. 38.⚖️ A seesaw balances. Arjun (? N) sits 4 m from the pivot on one side; Ravi (440 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  39. 39.⚖️ A seesaw balances. Ravi (300 N) sits 1 m from the pivot on one side; Asha (150 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  40. 40.⚖️ A seesaw balances. Ravi (560 N) sits 3 m from the pivot on one side; Kabir (420 N) sits ? m from the pivot on the other side. What is the missing distance in metres?

Answer key

  1. 150
  2. turning effects match
  3. 360
  4. 80
  5. 120
  6. 570
  7. 40
  8. 510
  9. 400
  10. distance from fulcrum
  11. 120
  12. 340
  13. 330
  14. 2
  15. 170
  16. 300
  17. 50
  18. 50
  19. 510
  20. 1
  21. closer to the pivot
  22. 90
  23. 180
  24. 10
  25. 90
  26. 60
  27. 50
  28. 50
  29. 450
  30. 680
  31. 2
  32. 2
  33. 400
  34. 30
  35. 1
  36. 4
  37. 280
  38. 110
  39. 2
  40. 4

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