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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 291 · 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 60 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  2. 2.⚖️ A seesaw balances. Ravi (280 N) sits ? m from the pivot on one side; Meena (420 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  3. 3.⚖️ A seesaw balances. Meena (340 N) sits ? m from the pivot on one side; Asha (340 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  4. 4.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 80 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  5. 5.⚖️ A lever balances when … (a) the fulcrum moves (b) the bar is short (c) turning effects match (d) both weights are equal
  6. 6.⚖️ A lever bar balances. The load is 540 N at 30 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?
  7. 7.⚖️ A lever bar balances. The load is 200 N at 30 cm from the fulcrum. The effort is 300 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  8. 8.⚖️ A seesaw balances. Zoya (? N) sits 1 m from the pivot on one side; Kabir (180 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  9. 9.⚖️ A seesaw balances. Asha (120 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?
  10. 10.⚖️ A seesaw balances. Kabir (220 N) sits 4 m from the pivot on one side; Arjun (440 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  11. 11.⚖️ A seesaw balances. Kabir (150 N) sits ? m from the pivot on one side; Ravi (450 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  12. 12.⚖️ A lever bar balances. The load is 420 N at ? cm from the fulcrum. The effort is 70 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  13. 13.⚖️ A seesaw balances. Ravi (300 N) sits 2 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 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?
  15. 15.⚖️ A lever bar balances. The load is 480 N at 10 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?
  16. 16.⚖️ A lever bar balances. The load is 60 N at ? cm from the fulcrum. The effort is 20 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  17. 17.⚖️ A lever bar balances. The load is 300 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?
  18. 18.⚖️ A seesaw balances. Asha (? N) sits 4 m from the pivot on one side; Kabir (760 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  19. 19.⚖️ A seesaw balances. Ravi (380 N) sits ? m from the pivot on one side; Zoya (380 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  20. 20.⚖️ A seesaw balances. Zoya (? N) sits 4 m from the pivot on one side; Kabir (400 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  21. 21.⚖️ A seesaw balances. Zoya (? N) sits 3 m from the pivot on one side; Arjun (540 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  22. 22.⚖️ A seesaw balances. Zoya (100 N) sits 2 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?
  23. 23.⚖️ Turning effect = force × … (a) colour of bar (b) distance from fulcrum (c) mass of fulcrum (d) time taken
  24. 24.⚖️ A seesaw balances. Ravi (240 N) sits ? m from the pivot on one side; Asha (120 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  25. 25.⚖️ A lever bar balances. The load is 150 N at 30 cm from the fulcrum. The effort is 150 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 560 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?
  27. 27.⚖️ A lever bar balances. The load is 800 N at 10 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 280 N at ? cm from the fulcrum. The effort is 350 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  29. 29.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 180 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  30. 30.⚖️ A seesaw balances. Asha (720 N) sits ? m from the pivot on one side; Kabir (180 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  31. 31.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 60 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  32. 32.⚖️ A seesaw balances. Zoya (680 N) sits ? m from the pivot on one side; Ravi (340 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  33. 33.⚖️ A seesaw balances. Ravi (510 N) sits ? m from the pivot on one side; Arjun (340 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  34. 34.⚖️ A seesaw balances. Meena (100 N) sits ? m from the pivot on one side; Asha (400 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  35. 35.⚖️ A lever bar balances. The load is 160 N at ? cm from the fulcrum. The effort is 80 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  36. 36.⚖️ A seesaw balances. Zoya (400 N) sits 3 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?
  37. 37.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 360 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  38. 38.⚖️ A lever bar balances. The load is 300 N at 20 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?
  39. 39.⚖️ A lever bar balances. The load is 700 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?
  40. 40.⚖️ A seesaw balances. Ravi (? N) sits 3 m from the pivot on one side; Asha (480 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?

Answer key

  1. 180
  2. 3
  3. 2
  4. 120
  5. turning effects match
  6. 90
  7. 20
  8. 360
  9. 240
  10. 2
  11. 3
  12. 10
  13. 300
  14. 40
  15. 80
  16. 10
  17. 240
  18. 380
  19. 2
  20. 100
  21. 540
  22. 200
  23. distance from fulcrum
  24. 1
  25. 30
  26. 280
  27. 80
  28. 50
  29. 240
  30. 1
  31. 60
  32. 2
  33. 2
  34. 4
  35. 20
  36. 4
  37. 540
  38. 60
  39. 350
  40. 640

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