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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 536 · 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 balances when … (a) both weights are equal (b) the fulcrum moves (c) the bar is short (d) turning effects match
  2. 2.⚖️ A seesaw balances. Meena (? N) sits 3 m from the pivot on one side; Arjun (510 N) sits 1 m from the pivot on the other side. What is the missing weight 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 seesaw balances. Kabir (? N) sits 4 m from the pivot on one side; Zoya (480 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  5. 5.⚖️ Turning effect = force × … (a) time taken (b) colour of bar (c) mass of fulcrum (d) distance from fulcrum
  6. 6.⚖️ A seesaw balances. Asha (140 N) sits 4 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?
  7. 7.⚖️ A seesaw balances. Kabir (420 N) sits 3 m from the pivot on one side; Arjun (420 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  8. 8.⚖️ A seesaw balances. Kabir (200 N) sits 4 m from the pivot on one side; Asha (800 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  9. 9.⚖️ A seesaw balances. Asha (390 N) sits 3 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?
  10. 10.⚖️ 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?
  11. 11.⚖️ A seesaw balances. Arjun (120 N) sits 3 m from the pivot on one side; Kabir (360 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  12. 12.⚖️ A seesaw balances. Ravi (? N) sits 2 m from the pivot on one side; Zoya (320 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  13. 13.⚖️ A seesaw balances. Zoya (? N) sits 4 m from the pivot on one side; Arjun (560 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  14. 14.⚖️ A seesaw balances. Kabir (440 N) sits 1 m from the pivot on one side; Zoya (110 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  15. 15.⚖️ A lever bar balances. The load is 80 N at 10 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?
  16. 16.⚖️ A lever bar balances. The load is 60 N at 50 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?
  17. 17.⚖️ A seesaw balances. Meena (? N) sits 3 m from the pivot on one side; Zoya (390 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  18. 18.⚖️ A seesaw balances. Zoya (520 N) sits 2 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?
  19. 19.⚖️ 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?
  20. 20.⚖️ A seesaw balances. Arjun (420 N) sits ? m from the pivot on one side; Kabir (140 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  21. 21.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Kabir (190 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  22. 22.⚖️ A lever bar balances. The load is 160 N at ? cm from the fulcrum. The effort is 200 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  23. 23.⚖️ A seesaw balances. Ravi (? N) sits 3 m from the pivot on one side; Kabir (450 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 ? N at 40 cm from the fulcrum. The effort is 240 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  25. 25.⚖️ A lever bar balances. The load is 600 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?
  26. 26.⚖️ A seesaw balances. Arjun (800 N) sits ? m from the pivot on one side; Ravi (400 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  27. 27.⚖️ A lever bar balances. The load is ? N at 10 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?
  28. 28.⚖️ A lever bar balances. The load is 80 N at 40 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?
  29. 29.⚖️ A seesaw balances. Meena (640 N) sits 1 m from the pivot on one side; Arjun (160 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  30. 30.⚖️ A seesaw balances. Ravi (390 N) sits 1 m from the pivot on one side; Kabir (130 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  31. 31.⚖️ A lever bar balances. The load is 800 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?
  32. 32.⚖️ A seesaw balances. Arjun (200 N) sits 2 m from the pivot on one side; Ravi (400 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  33. 33.⚖️ A seesaw balances. Meena (680 N) sits 1 m from the pivot on one side; Ravi (170 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 100 N at ? cm from the fulcrum. The effort is 20 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  35. 35.⚖️ A seesaw balances. Ravi (400 N) sits 1 m from the pivot on one side; Kabir (100 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  36. 36.⚖️ A seesaw balances. Arjun (320 N) sits ? m from the pivot on one side; Meena (160 N) sits 2 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 240 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  38. 38.⚖️ A lever bar balances. The load is 360 N at 30 cm from the fulcrum. The effort is ? N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  39. 39.⚖️ A seesaw balances. Arjun (400 N) sits 4 m from the pivot on one side; Ravi (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  40. 40.⚖️ A seesaw balances. Kabir (400 N) sits 2 m from the pivot on one side; Asha (400 N) sits ? m from the pivot on the other side. What is the missing distance in metres?

Answer key

  1. turning effects match
  2. 170
  3. closer to the pivot
  4. 360
  5. distance from fulcrum
  6. 560
  7. 3
  8. 1
  9. 390
  10. 60
  11. 1
  12. 480
  13. 280
  14. 4
  15. 10
  16. 100
  17. 390
  18. 260
  19. 10
  20. 1
  21. 190
  22. 50
  23. 150
  24. 240
  25. 60
  26. 2
  27. 160
  28. 20
  29. 4
  30. 3
  31. 100
  32. 1
  33. 4
  34. 10
  35. 4
  36. 1
  37. 240
  38. 120
  39. 800
  40. 2

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