Home
Class 11
PHYSICS
A circular ring of mass 6kg and radius a...

A circular ring of mass 6kg and radius a is placed such that its center of lies at the origin. Two particles of masses 2 kg each are placed at the intersecting points of the circle with positive X-axis and positive Y-axis. Then, the angle made by the position vector of center of mass of entire system with X-axis is

A

`45^(@`

B

`60^(@)`

C

`tan^(-1)(4//5)`

D

`30^(@)`

Text Solution

Verified by Experts

The correct Answer is:
A
`tan theta = (y_(cm))/(x_(cm))`
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    NARAYNA|Exercise EXERCISE - III|43 Videos

  • SYSTEM OF PARTICLES

    NARAYNA|Exercise Level-VI|78 Videos

  • THERMAL PROPERTIES OF MATTER

    NARAYNA|Exercise LEVEL - II (H.W.)|19 Videos

Similar Questions

Explore conceptually related problems

A circular ring of mass 8kg and radius 2m is placed such that its centre lies at the origin Two particles of masses 3kg and 4kg are placed at the intersecting points of the circle with +ve x-axis and +ve y-axis respectively. Then the angle made by the position vector of centre of mass of entire system with positive y-axis is?

Two particles of masses 1kg and 2kg are located at x=0 and x=3m . Find the position of their centre of mass.

Two particle of mass 4 kg & 2kg are located as shown in figure then find out the position of centre of mass.

Two particle of mass 1 kg and 2 kg are located at x = 0 and x = 3 m. Find the position of their centre of mass.

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 )

If a line makes an angle (pi)/(4) with the positive directions of each of X-axis and Y-axis, then the angle that the line makes with the positive direction of the Z-axis is

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)

A circular ring of mass M and radius 'a' is placed in a gravity free space. A small particle of mass m placed on the axis of the ring at a distance sqrt(3)a from the center of the ring, is released from rest. The velocity with which the particle passes through the center of the ring is

Three rings each of mass m and radius r are so placed that they touch each other. The radius of gyration of the system about the axis as shown in the figure is

NARAYNA-SYSTEM OF PARTICLES AND ROTATIONAL MOTION -EXERCISE - IV
  1. A uniform uniform sphere of mass m and radius R is placed on a ro...

    Text Solution

    |

  2. A T shaped object with dimesions shown in the figure , is lying a...

    Text Solution

    |

  3. A circular ring of mass 6kg and radius a is placed such that its cente...

    Text Solution

    |

  4. In the figure d shown a hole of radius 2 cm is made in a semicir...

    Text Solution

    |

  5. The figure shows the positions and velocities of two particles . ...

    Text Solution

    |

  6. A rod of length 3m and its mass par unit length is directly propo...

    Text Solution

    |

  7. A wheel is rotating about an axis through its centre at 720 rp...

    Text Solution

    |

  8. A particle of mass m describes a circle of radius r . The centripetal ...

    Text Solution

    |

  9. A particle moves in a circular path of radius R with an angular veloci...

    Text Solution

    |

  10. A chain couples and rotates two wheels in a bicycle . The radii ...

    Text Solution

    |

  11. Five particles of mass 2 kg are attached to the rim of a circular disc...

    Text Solution

    |

  12. Four masses are fixed on a mass less rod as shown in Fig . The momen...

    Text Solution

    |

  13. A rigid body can be hinged about any point on the x-axis. When it is h...

    Text Solution

    |

  14. Four similar point masses ( each of mass m ) are placed on ...

    Text Solution

    |

  15. Three particles are connected by mass less rods lying along the...

    Text Solution

    |

  16. The diagram showm a uniform of mass M & radius 'a' . If the mome...

    Text Solution

    |

  17. Five uniform circular plates , each of diameter D and mass m ar...

    Text Solution

    |

  18. Form a circular disc of radius R and mass 9M , a small disc of mas...

    Text Solution

    |

  19. A ring mass 'm' and radius 'R' has three particles attached to...

    Text Solution

    |

  20. Two wheels are connected by a belt. The radius of larger wheel...

    Text Solution

    |