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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 810 · 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) colour of bar (c) distance from fulcrum (d) mass of fulcrum
  2. 2.⚖️ A lever bar balances. The load is 40 N at 50 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?
  3. 3.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) on the pivot (c) closer to the pivot (d) farther from the pivot
  4. 4.⚖️ A lever bar balances. The load is 500 N at ? cm from the fulcrum. The effort is 400 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  5. 5.⚖️ A lever bar balances. The load is 60 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?
  6. 6.⚖️ A seesaw balances. Ravi (680 N) sits ? m from the pivot on one side; Kabir (680 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  7. 7.⚖️ 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?
  8. 8.⚖️ A seesaw balances. Kabir (170 N) sits 2 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?
  9. 9.⚖️ A lever bar balances. The load is 200 N at 10 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?
  10. 10.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Ravi (260 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  11. 11.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Kabir (300 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  12. 12.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Kabir (260 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  13. 13.⚖️ A seesaw balances. Arjun (? N) sits 3 m from the pivot on one side; Kabir (300 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  14. 14.⚖️ A seesaw balances. Arjun (280 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 90 N at ? cm from the fulcrum. The effort is 40 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  16. 16.⚖️ A lever balances when … (a) turning effects match (b) both weights are equal (c) the fulcrum moves (d) the bar is short
  17. 17.⚖️ A lever bar balances. The load is 810 N at ? cm from the fulcrum. The effort is 180 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  18. 18.⚖️ A seesaw balances. Zoya (? N) sits 2 m from the pivot on one side; Ravi (200 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  19. 19.⚖️ A seesaw balances. Zoya (? N) sits 4 m from the pivot on one side; Meena (640 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  20. 20.⚖️ A seesaw balances. Kabir (120 N) sits 3 m from the pivot on one side; Ravi (360 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  21. 21.⚖️ A seesaw balances. Asha (240 N) sits ? m from the pivot on one side; Kabir (120 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  22. 22.⚖️ A seesaw balances. Asha (? N) sits 4 m from the pivot on one side; Arjun (440 N) sits 2 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 10 cm from the fulcrum. The effort is 30 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  24. 24.⚖️ A seesaw balances. Asha (300 N) sits 4 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?
  25. 25.⚖️ A lever bar balances. The load is 100 N at ? cm from the fulcrum. The effort is 40 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  26. 26.⚖️ A lever bar balances. The load is 320 N at 40 cm from the fulcrum. The effort is 320 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 720 N at ? cm from the fulcrum. The effort is 90 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  28. 28.⚖️ A lever bar balances. The load is 490 N at 10 cm from the fulcrum. The effort is 70 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  29. 29.⚖️ A seesaw balances. Kabir (260 N) sits ? m from the pivot on one side; Asha (390 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  30. 30.⚖️ A lever bar balances. The load is 90 N at ? cm from the fulcrum. The effort is 30 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  31. 31.⚖️ A seesaw balances. Meena (300 N) sits ? m from the pivot on one side; Arjun (100 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  32. 32.⚖️ A seesaw balances. Ravi (? N) sits 3 m from the pivot on one side; Kabir (330 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  33. 33.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 90 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  34. 34.⚖️ A lever bar balances. The load is 80 N at ? cm from the fulcrum. The effort is 60 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  35. 35.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 280 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  36. 36.⚖️ A lever bar balances. The load is 40 N at 40 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?
  37. 37.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 20 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  38. 38.⚖️ A seesaw balances. Asha (? N) sits 3 m from the pivot on one side; Meena (420 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  39. 39.⚖️ A seesaw balances. Ravi (300 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 lever bar balances. The load is 630 N at 30 cm from the fulcrum. The effort is 270 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?

Answer key

  1. distance from fulcrum
  2. 100
  3. closer to the pivot
  4. 40
  5. 20
  6. 4
  7. 360
  8. 340
  9. 50
  10. 520
  11. 150
  12. 130
  13. 300
  14. 420
  15. 40
  16. turning effects match
  17. 20
  18. 400
  19. 160
  20. 1
  21. 1
  22. 220
  23. 150
  24. 400
  25. 40
  26. 40
  27. 10
  28. 70
  29. 3
  30. 10
  31. 1
  32. 330
  33. 360
  34. 30
  35. 630
  36. 20
  37. 100
  38. 420
  39. 600
  40. 70

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