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Rotational Motion -4

Welcome to your Rotational Motion -4

1. 
If ∑mᵢxᵢ = 0, COM lies

2. 
If mass density is doubled everywhere, COM

3. 
If all particles lie in x–y plane, COM lies

4. 
On changing the origin, COM coordinates

5. 
In absence of external force, COM

6. 
Vector form of COM is given by

7. 
Two particles of equal mass are separated by distance d. COM is

8. 
COM of a rod with linearly increasing density lies

9. 
COM of a thin uniform rod is independent of

10. 
COM of a uniform semicircular disc lies on

11. 
COM of a hollow sphere lies

12. 
COM of a triangular wire frame lies at

13. 
Two masses m and 3m are separated by distance d. Distance of COM from m is

14. 
COM of a uniform triangular lamina lies at

15. 
If origin is at the COM of a system, then ∑mᵢrᵢ equals

16. 
Centre of mass depends on

17. 
For a continuous mass distribution, COM is calculated using

18. 
COM of an L-shaped uniform wire lies

19. 
Two particles of masses 2 kg and 6 kg are placed at x = 0 m and x = 4 m. Find COM.

20. 
COM of non-uniform rod lies

21. 
COM of a perfectly symmetric body lies

22. 
COM of a solid hemisphere of radius R lies at

23. 
Two particles repel each other due to internal force. COM

24. 
COM of a uniform cube lies at

25. 
COM of a uniform disc with off-centre hole lies

26. 
COM of a semicircular lamina of radius R lies at

27. 
Masses 1 kg, 2 kg and 3 kg are at vertices of an equilateral triangle. COM is

28. 
If one particle is removed from system, COM

29. 
Three equal masses are placed at x = 1 m, 3 m and 5 m. COM lies at

30. 
A projectile explodes at the highest point. COM

31. 
COM of a uniform circular wire lies at

32. 
A uniform rod of length L lies along x-axis. COM is at

33. 
Two equal masses rotate about each other. COM is

34. 
Equal masses at vertices of a square have COM at

35. 
A system of particles experiences only internal forces. Motion of COM is

36. 
COM of a uniform ring lies at

37. 
COM of a uniform square lamina lies at

38. 
A system has total mass zero. COM is

39. 
COM of an isolated system always moves

40. 
COM of a system can lie

41. 
Masses m, 2m, 3m are at x = 0, a, 2a. COM is at

42. 
If m₁x₁ + m₂x₂ = 0, COM lies

43. 
A uniform disc has a concentric circular hole removed. COM

44. 
A uniform rod bent into a semicircle has COM at

45. 
A particle explodes into two equal fragments in space. COM

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