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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 151 · 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 seesaw balances. Zoya (400 N) sits 2 m from the pivot on one side; Asha (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  2. 2.⚖️ A seesaw balances. Zoya (600 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?
  3. 3.⚖️ Turning effect = force × … (a) mass of fulcrum (b) time taken (c) colour of bar (d) distance from fulcrum
  4. 4.⚖️ A seesaw balances. Meena (760 N) sits 1 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?
  5. 5.⚖️ A seesaw balances. Kabir (? N) sits 2 m from the pivot on one side; Arjun (240 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  6. 6.⚖️ A lever bar balances. The load is 300 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. Ravi (510 N) sits 1 m from the pivot on one side; Zoya (170 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 60 N at ? cm from the fulcrum. The effort is 20 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  9. 9.⚖️ A seesaw balances. Zoya (? N) sits 3 m from the pivot on one side; Asha (420 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  10. 10.⚖️ A lever bar balances. The load is 240 N at 40 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 lever bar balances. The load is 60 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?
  12. 12.⚖️ A seesaw balances. Zoya (450 N) sits ? m from the pivot on one side; Meena (450 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  13. 13.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Arjun (150 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  14. 14.⚖️ A lever bar balances. The load is 360 N at 10 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?
  15. 15.⚖️ A seesaw balances. Meena (390 N) sits 2 m from the pivot on one side; Zoya (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  16. 16.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 120 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  17. 17.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Meena (360 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  18. 18.⚖️ A lever bar balances. The load is 210 N at 20 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?
  19. 19.⚖️ A lever bar balances. The load is 60 N at ? cm from the fulcrum. The effort is 150 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  20. 20.⚖️ A lever bar balances. The load is 240 N at ? cm from the fulcrum. The effort is 400 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  21. 21.⚖️ A seesaw balances. Ravi (200 N) sits 1 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?
  22. 22.⚖️ A lever bar balances. The load is 400 N at 20 cm from the fulcrum. The effort is 160 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  23. 23.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 400 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  24. 24.⚖️ A seesaw balances. Kabir (? N) sits 1 m from the pivot on one side; Meena (100 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  25. 25.⚖️ A seesaw balances. Asha (450 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?
  26. 26.⚖️ A seesaw balances. Zoya (? N) sits 2 m from the pivot on one side; Kabir (200 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  27. 27.⚖️ A seesaw balances. Meena (? N) sits 1 m from the pivot on one side; Zoya (200 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  28. 28.⚖️ A seesaw balances. Kabir (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?
  29. 29.⚖️ A seesaw balances. Kabir (? N) sits 3 m from the pivot on one side; Meena (570 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  30. 30.⚖️ A seesaw balances. Asha (120 N) sits ? m from the pivot on one side; Arjun (480 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  31. 31.⚖️ A seesaw balances. Ravi (600 N) sits ? m from the pivot on one side; Kabir (600 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  32. 32.⚖️ A lever bar balances. The load is 80 N at 20 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?
  33. 33.⚖️ A lever bar balances. The load is 240 N at 50 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?
  34. 34.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Ravi (130 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  35. 35.⚖️ A seesaw balances. Arjun (? N) sits 3 m from the pivot on one side; Zoya (330 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  36. 36.⚖️ A lever bar balances. The load is 560 N at ? cm from the fulcrum. The effort is 210 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  37. 37.⚖️ A seesaw balances. Kabir (400 N) sits 1 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?
  38. 38.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 120 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  39. 39.⚖️ A lever bar balances. The load is 320 N at 40 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?
  40. 40.⚖️ A seesaw balances. Kabir (? N) sits 1 m from the pivot on one side; Zoya (180 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?

Answer key

  1. 200
  2. 600
  3. distance from fulcrum
  4. 190
  5. 240
  6. 150
  7. 3
  8. 20
  9. 420
  10. 80
  11. 20
  12. 3
  13. 450
  14. 60
  15. 260
  16. 480
  17. 720
  18. 60
  19. 50
  20. 50
  21. 100
  22. 50
  23. 600
  24. 100
  25. 450
  26. 200
  27. 400
  28. 420
  29. 380
  30. 4
  31. 3
  32. 40
  33. 60
  34. 390
  35. 330
  36. 30
  37. 200
  38. 360
  39. 160
  40. 180

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