Home
Class 11
PHYSICS
Three particles each 1kg mass are placed...

Three particles each `1kg` mass are placed at the corners of a right angled triangle `AOB`, `O` being the origin of the co-ordinate system `OA` and `OB` along `+ve` x-direction and `+ve` y-direction. The position vector of the centre of mass is (`OA = OB=1m`) (in meters)

A

`(i+j)/3`

B

`(i-j)/3`

C

`(2(i+j))/3`

D

`(i-j)`

Text Solution

Verified by Experts

The correct Answer is:
A

`bar(v)_(cm)=x_(cm)hati+y_(cm)hatj`
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF PARTICLES

    NARAYNA|Exercise Level-III|66 Videos
  • SYSTEM OF PARTICLES

    NARAYNA|Exercise NCERT based questions|15 Videos
  • SYSTEM OF PARTICLES

    NARAYNA|Exercise Level-1(C.W.)|64 Videos
  • PHYSICAL WORLD

    NARAYNA|Exercise C.U.Q|10 Videos
  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    NARAYNA|Exercise EXERCISE - IV|39 Videos

Similar Questions

Explore conceptually related problems

Four particles, each of mass 1kg are placed at the corners of a square OABC of side 1m . O is at the origin of the coordinate system. OA and OC are aligned along positive X-axis and positive Y-axis respectively. The position vector of the centre of mass is (in m )

Three particles of masses 0.50 kg, 1.0 kg and are placed at the corners of a right angle triangle, as shown in fig. Locate the centre of mass of the system.

Four particle, each of mass m, are placed at corners of a square of side a in the x-y plane. If the origin of the co-ordinate system is taken at the point fo intersection of the diagonals of the square, the co-ordinates of the centre of mass of the system are:

Three particles , each of mass m, are placed at the vertices of a right angled triangle as shown in figure. The position vector of the center of mass of the system is (O is the origin and hat(i), hat(j), hat(k) are unit vectors)

Three point particles of masses 1.0 kg, 1.5 kg and 2.5 kg are placed at three corners of a right angle triangle as shown in figure. The centre of mass of the system is at a point :

Three identical masses, each of mass 1kg, are placed at the corners of an equilateral triangle of side l . Then the moment of inertia of this system about an axis along one side of the triangle is

Three point masses, each of mass 2kg are placed at the corners of an equilateral triangle of side 2m. What is moment of inertia of this system about an axis along one side of a triangle?

NARAYNA-SYSTEM OF PARTICLES-Level-II(C.W.)
  1. A uniform wire is bent into the form of a rectangle of length L and wi...

    Text Solution

    |

  2. A uniform disc of radius R is put over another unifrom disc of radius ...

    Text Solution

    |

  3. Three particles each 1kg mass are placed at the corners of a right ang...

    Text Solution

    |

  4. Three particles of masses 1kg, 2kg and 3kg are placed at the corners A...

    Text Solution

    |

  5. Six identical particles each of mass m are arranged at the corners of ...

    Text Solution

    |

  6. A bomb of mass m at rest at the coordinate origin explodes into three ...

    Text Solution

    |

  7. Particle of masses m, 2m,3m,…,nm grams are placed on the same line at ...

    Text Solution

    |

  8. Three particles each of mass 2kg are at the corners of an equilateral ...

    Text Solution

    |

  9. The mass of a uniform ladder of length 5m is 20kg. A person of mass 60...

    Text Solution

    |

  10. A uniform thin rod of length 1m and mass 3kg is attached to a uniform ...

    Text Solution

    |

  11. Four identical particles each of mass m are arranged at the corners of...

    Text Solution

    |

  12. A circular hole of radius r is made in a disk of radius R and of unifo...

    Text Solution

    |

  13. The centre of mass of the letter F which is cut from a uniform metal s...

    Text Solution

    |

  14. Two identical thin uniform rods of length L each are joined to form T ...

    Text Solution

    |

  15. Figure shows a square plate of uniform thickness and side length sqrt ...

    Text Solution

    |

  16. Two particles of equal masses have velocities vec v1 = 4 hat i and vec...

    Text Solution

    |

  17. Two particles of masses p and q (p gt q) are separated by a distance d...

    Text Solution

    |

  18. The unit vector perpendicular to vec A = 2 hat i + 3 hat j + hat k and...

    Text Solution

    |

  19. An electron is moving with speed 2xx10^5 m//s along the positive x-dir...

    Text Solution

    |

  20. A particle of mass 80 units is moving with a uniform speed v=4 sqrt 2 ...

    Text Solution

    |