Home
Class 12
PHYSICS
ABC is an equilateral triangle with O as...

ABC is an equilateral triangle with O as its centre `vec(F_(1)),vec(F_(2)) " and " vec(F_(3))` represent three forces acting along the sides AB, BC and AC respectively. If the torque about O is zero then the magnitude of `vec(F_(3))` is

A

`(F_(1)+F_(2))/(2)`

B

`2(F_(1)+F_(2))`

C

`F_(1)+F_(2)`

D

`F_(1)-F_(2)`

Text Solution

Verified by Experts

The correct Answer is:
3
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    VMC MODULES ENGLISH|Exercise EFFICIENT|50 Videos

  • SYSTEM OF A PARTICLES & ROTATIONAL MOTION

    VMC MODULES ENGLISH|Exercise IN-CHAPTER EXERCISE F|10 Videos

  • UNITS, MEASUREMENTS & ERRORS

    VMC MODULES ENGLISH|Exercise IN - CHAPTER EXERCISE - B|10 Videos

Similar Questions

Explore conceptually related problems

O is the centre of an equilateral triangle ABC . F_(1), F_(2) and F_(3) are the three forces acting along the sides AB, BC and AC respectively. What should be the value of F_(3) so that the total torque about O is zero?

D, E and F are the mid-points of the sides BC, CA and AB respectively of Delta ABC and G is the centroid of the triangle, then vec(GD) + vec(GE) + vec(GF) =

ABC is an equilateral triangle. Length of each side is 'a' and centroid is point O. Find vec(AB)+vec(BC)+vec(CA)

ABC is an equilateral triangle. Length of each side is 'a' and centroid is point O. Find If vec(AB)+vec(AC)=nvec(AO) then n = ?

ABC is an equilateral triangle. Length of each side is 'a' and centroid is point O. Find If |vec(AB)+vec(BC)+vec(AC)|=na then n = ?

If D, E, F are respectively the mid-points of AB, AC and BC respectively in a Delta ABC, " then " vec (BE) + vec(AF) =

Three forces vec(F)_(1), vec(F)_(2) and vec(F)_(3) are represented as shown. Each of them is equal magnitude. Now match the given columns and select the correct option from the codes given below.

ABC is isosceles triangle, right angled at A. The resultant of the forces acting along vec(AB), vec(AC) with magnitudes 1/(AB) and 1/(AC) respectively is the force along vec(AD) , where D is the foot of the perpendicular from A on BC. The magnitude of the resultant is:

If D ,\ E ,\ F are the mid points of the side B C ,\ C A and A B respectively of a triangle ABC, write the value of vec A D+ vec B E+ vec C Fdot

A body placed in free space, is simultaneously acted upon by three forces vec(F_(1)),vec(F_(2)) " and " vec(F_(3)) . The body is in equilibrium and the forces vec(F_(1)) " and "vec(F_(2)) are known ot be 36 N due north and 27 N due east respectively. Which of the following best describes the force vec(F_(3)) ?

VMC MODULES ENGLISH-SYSTEM OF PARTICLES AND ROTATIONAL MOTION-IMPECCABLE
  1. The moment of inertia of a thin uniform rod of mass M and length L abo...

    Text Solution

    |

  2. A small mass attached to a string rotates on a frictionless table top ...

    Text Solution

    |

  3. ABC is an equilateral triangle with O as its centre vec(F(1)),vec(F(2)...

    Text Solution

    |

  4. A solid cylinder of mass 3 kg is rolling on a horizontal surface with ...

    Text Solution

    |

  5. The moment of inertia of a uniform circular disc is maximum about an a...

    Text Solution

    |

  6. A circular platform is mounted on a frictionless vertical axle. Its ra...

    Text Solution

    |

  7. Three identical spherical shells, each of mass m radius r are placed a...

    Text Solution

    |

  8. A mass m moves in a circles on a smooth horizontal plane with velocity...

    Text Solution

    |

  9. A rod of weight w is supported by two parallel knife edges A and B and...

    Text Solution

    |

  10. An automobile moves on a road with a speed of 54 kmh^(-1). The radius ...

    Text Solution

    |

  11. A Force F=alphahat(i)+3hat(j)+6hat(k) is acting at a point r=2hat(i)-6...

    Text Solution

    |

  12. From a disc of radius R and mass M, a circular hole of diameter R, who...

    Text Solution

    |

  13. A disc and a sphere of same radius but different masses roll off on tw...

    Text Solution

    |

  14. A solid sphere of mass m and radius R is rotating about its diameter. ...

    Text Solution

    |

  15. A light rod of length l has two masses m(1) and m(2) attached to its t...

    Text Solution

    |

  16. A rope is wound around a hollow cylinder of mass 3 kg and radius 40 cm...

    Text Solution

    |

  17. Two discs of same moment of inertia rotating about their regular axis ...

    Text Solution

    |

  18. A solid sphere is in roling motion. In rolling motion,a body possesses...

    Text Solution

    |

  19. A solid spere is rotating freely about its symmetry axis in free space...

    Text Solution

    |

  20. The moment of the force ,F = 4hati+5hatj-6hatK at (2,0-3) about the po...

    Text Solution

    |