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Rotational Motion -4

Welcome to your Rotational Motion -4

1. 
A uniform rod bent into a semicircle has COM at

2. 
Three equal masses are placed at x = 1 m, 3 m and 5 m. COM lies at

3. 
If ∑mᵢxᵢ = 0, COM lies

4. 
A particle explodes into two equal fragments in space. COM

5. 
Two particles of masses 2 kg and 6 kg are placed at x = 0 m and x = 4 m. Find COM.

6. 
On changing the origin, COM coordinates

7. 
A projectile explodes at the highest point. COM

8. 
COM of a uniform circular wire lies at

9. 
A uniform disc has a concentric circular hole removed. COM

10. 
COM of a solid hemisphere of radius R lies at

11. 
A uniform rod of length L lies along x-axis. COM is at

12. 
If origin is at the COM of a system, then ∑mᵢrᵢ equals

13. 
COM of an isolated system always moves

14. 
For a continuous mass distribution, COM is calculated using

15. 
If m₁x₁ + m₂x₂ = 0, COM lies

16. 
COM of a perfectly symmetric body lies

17. 
Two masses m and 3m are separated by distance d. Distance of COM from m is

18. 
COM of a uniform square lamina lies at

19. 
COM of a uniform triangular lamina lies at

20. 
COM of a system can lie

21. 
Masses m, 2m, 3m are at x = 0, a, 2a. COM is at

22. 
A system has total mass zero. COM is

23. 
COM of a thin uniform rod is independent of

24. 
COM of a uniform disc with off-centre hole lies

25. 
Two particles of equal mass are separated by distance d. COM is

26. 
A system of particles experiences only internal forces. Motion of COM is

27. 
COM of a rod with linearly increasing density lies

28. 
Centre of mass depends on

29. 
COM of a semicircular lamina of radius R lies at

30. 
COM of a uniform semicircular disc lies on

31. 
If one particle is removed from system, COM

32. 
COM of an L-shaped uniform wire lies

33. 
If all particles lie in x–y plane, COM lies

34. 
In absence of external force, COM

35. 
Equal masses at vertices of a square have COM at

36. 
Masses 1 kg, 2 kg and 3 kg are at vertices of an equilateral triangle. COM is

37. 
COM of non-uniform rod lies

38. 
COM of a uniform cube lies at

39. 
Two particles repel each other due to internal force. COM

40. 
COM of a triangular wire frame lies at

41. 
Two equal masses rotate about each other. COM is

42. 
COM of a hollow sphere lies

43. 
COM of a uniform ring lies at

44. 
Vector form of COM is given by

45. 
If mass density is doubled everywhere, COM

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