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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 320 · 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 20 cm from the fulcrum. The effort is 80 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  2. 2.⚖️ A lever bar balances. The load is 300 N at 10 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?
  3. 3.⚖️ A lever bar balances. The load is 180 N at 10 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?
  4. 4.⚖️ A seesaw balances. Kabir (560 N) sits 3 m from the pivot on one side; Meena (420 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  5. 5.⚖️ Turning effect = force × … (a) distance from fulcrum (b) colour of bar (c) mass of fulcrum (d) time taken
  6. 6.⚖️ A seesaw balances. Kabir (? N) sits 3 m from the pivot on one side; Ravi (360 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  7. 7.⚖️ A seesaw balances. Kabir (440 N) sits ? m from the pivot on one side; Asha (330 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  8. 8.⚖️ A seesaw balances. Ravi (400 N) sits ? m from the pivot on one side; Asha (800 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  9. 9.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 160 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  10. 10.⚖️ A seesaw balances. Meena (640 N) sits ? m from the pivot on one side; Asha (160 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  11. 11.⚖️ A lever bar balances. The load is 810 N at ? cm from the fulcrum. The effort is 90 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  12. 12.⚖️ A lever bar balances. The load is 80 N at 20 cm from the fulcrum. The effort is 20 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  13. 13.⚖️ A seesaw balances. Asha (240 N) sits 3 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?
  14. 14.⚖️ A lever balances when … (a) both weights are equal (b) the fulcrum moves (c) the bar is short (d) turning effects match
  15. 15.⚖️ A lever bar balances. The load is 180 N at ? cm from the fulcrum. The effort is 20 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  16. 16.⚖️ A seesaw balances. Arjun (480 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?
  17. 17.⚖️ A seesaw balances. Zoya (120 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?
  18. 18.⚖️ A seesaw balances. Zoya (300 N) sits 2 m from the pivot on one side; Arjun (300 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  19. 19.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Arjun (110 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  20. 20.⚖️ A seesaw balances. Kabir (? N) sits 2 m from the pivot on one side; Ravi (280 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  21. 21.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 400 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  22. 22.⚖️ A lever bar balances. The load is 700 N at 40 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?
  23. 23.⚖️ A lever bar balances. The load is 320 N at 50 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?
  24. 24.⚖️ A lever bar balances. The load is 540 N at ? cm from the fulcrum. The effort is 270 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  25. 25.⚖️ A seesaw balances. Arjun (100 N) sits 3 m from the pivot on one side; Asha (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  26. 26.⚖️ A seesaw balances. Asha (? N) sits 3 m from the pivot on one side; Ravi (300 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 60 N at 50 cm from the fulcrum. The effort is 100 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  28. 28.⚖️ A lever bar balances. The load is 240 N at 30 cm from the fulcrum. The effort is 90 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  29. 29.⚖️ A lever bar balances. The load is 420 N at 20 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?
  30. 30.⚖️ A seesaw balances. Meena (? N) sits 2 m from the pivot on one side; Ravi (240 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  31. 31.⚖️ A seesaw balances. Arjun (510 N) sits 4 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?
  32. 32.⚖️ A lever bar balances. The load is 200 N at 10 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?
  33. 33.⚖️ A seesaw balances. Arjun (570 N) sits 4 m from the pivot on one side; Ravi (760 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  34. 34.⚖️ A lever bar balances. The load is 180 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?
  35. 35.⚖️ A seesaw balances. Meena (? N) sits 2 m from the pivot on one side; Ravi (220 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  36. 36.⚖️ A lever bar balances. The load is 20 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?
  37. 37.⚖️ A seesaw balances. Arjun (? N) sits 2 m from the pivot on one side; Ravi (360 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  38. 38.⚖️ A seesaw balances. Ravi (240 N) sits 2 m from the pivot on one side; Kabir (240 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 400 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?
  40. 40.⚖️ A seesaw balances. Zoya (? N) sits 4 m from the pivot on one side; Kabir (440 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?

Answer key

  1. 80
  2. 60
  3. 60
  4. 4
  5. distance from fulcrum
  6. 480
  7. 3
  8. 4
  9. 160
  10. 1
  11. 10
  12. 80
  13. 360
  14. turning effects match
  15. 10
  16. 360
  17. 360
  18. 2
  19. 110
  20. 420
  21. 240
  22. 400
  23. 400
  24. 30
  25. 300
  26. 200
  27. 30
  28. 80
  29. 70
  30. 480
  31. 680
  32. 50
  33. 3
  34. 120
  35. 220
  36. 20
  37. 720
  38. 2
  39. 200
  40. 110

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