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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 644 · 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) mass of fulcrum (b) time taken (c) distance from fulcrum (d) colour of bar
  2. 2.⚖️ On a seesaw, a heavier child should sit … (a) closer to the pivot (b) anywhere (c) farther from the pivot (d) on the pivot
  3. 3.⚖️ A seesaw balances. Asha (? N) sits 4 m from the pivot on one side; Zoya (400 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  4. 4.⚖️ A seesaw balances. Ravi (360 N) sits 3 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?
  5. 5.⚖️ A lever bar balances. The load is 30 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?
  6. 6.⚖️ A seesaw balances. Zoya (? N) sits 3 m from the pivot on one side; Asha (570 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  7. 7.⚖️ A seesaw balances. Meena (? N) sits 4 m from the pivot on one side; Zoya (760 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  8. 8.⚖️ A seesaw balances. Asha (? N) sits 3 m from the pivot on one side; Kabir (330 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  9. 9.⚖️ A seesaw balances. Asha (110 N) sits 2 m from the pivot on one side; Kabir (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  10. 10.⚖️ A seesaw balances. Ravi (240 N) sits 2 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?
  11. 11.⚖️ A lever bar balances. The load is 150 N at 50 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?
  12. 12.⚖️ A lever balances when … (a) the fulcrum moves (b) both weights are equal (c) turning effects match (d) the bar is short
  13. 13.⚖️ A seesaw balances. Ravi (100 N) sits 2 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?
  14. 14.⚖️ A lever bar balances. The load is 900 N at 20 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?
  15. 15.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 280 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 100 N at 10 cm from the fulcrum. The effort is 50 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  17. 17.⚖️ A seesaw balances. Asha (190 N) sits 4 m from the pivot on one side; Arjun (760 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  18. 18.⚖️ A seesaw balances. Zoya (190 N) sits 1 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?
  19. 19.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 210 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  20. 20.⚖️ A seesaw balances. Asha (720 N) sits 2 m from the pivot on one side; Zoya (360 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  21. 21.⚖️ A seesaw balances. Kabir (800 N) sits 3 m from the pivot on one side; Meena (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  22. 22.⚖️ A lever bar balances. The load is 600 N at ? cm from the fulcrum. The effort is 100 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  23. 23.⚖️ A lever bar balances. The load is 500 N at 50 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?
  24. 24.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 160 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  25. 25.⚖️ A lever bar balances. The load is 720 N at 30 cm from the fulcrum. The effort is 240 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  26. 26.⚖️ A seesaw balances. Ravi (600 N) sits ? m from the pivot on one side; Asha (200 N) sits 3 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 20 cm from the fulcrum. The effort is 200 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  28. 28.⚖️ A seesaw balances. Ravi (? N) sits 1 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?
  29. 29.⚖️ A seesaw balances. Kabir (? N) sits 4 m from the pivot on one side; Ravi (400 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  30. 30.⚖️ A seesaw balances. Ravi (170 N) sits 2 m from the pivot on one side; Zoya (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  31. 31.⚖️ A seesaw balances. Ravi (? N) sits 2 m from the pivot on one side; Zoya (320 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  32. 32.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Arjun (240 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  33. 33.⚖️ A seesaw balances. Zoya (440 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?
  34. 34.⚖️ A seesaw balances. Meena (510 N) sits 4 m from the pivot on one side; Kabir (680 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  35. 35.⚖️ A seesaw balances. Ravi (480 N) sits 3 m from the pivot on one side; Zoya (480 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  36. 36.⚖️ A seesaw balances. Arjun (390 N) sits 2 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?
  37. 37.⚖️ A lever bar balances. The load is 180 N at 50 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?
  38. 38.⚖️ A lever bar balances. The load is 600 N at 50 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?
  39. 39.⚖️ A seesaw balances. Ravi (360 N) sits 3 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?
  40. 40.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 240 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?

Answer key

  1. distance from fulcrum
  2. closer to the pivot
  3. 400
  4. 540
  5. 20
  6. 190
  7. 190
  8. 110
  9. 220
  10. 240
  11. 50
  12. turning effects match
  13. 200
  14. 100
  15. 560
  16. 20
  17. 1
  18. 190
  19. 700
  20. 4
  21. 600
  22. 10
  23. 500
  24. 320
  25. 90
  26. 1
  27. 800
  28. 400
  29. 200
  30. 340
  31. 320
  32. 480
  33. 110
  34. 3
  35. 3
  36. 260
  37. 30
  38. 100
  39. 540
  40. 300

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