Home
Class 11
PHYSICS
The force 7 hat i+ 3 hat j - 5 hat k act...

The force `7 hat i+ 3 hat j - 5 hat k` acts on a particle whose position vector is `hat i- hat j + hat k`. What is the torque of a given force about the origin ?

Text Solution

AI Generated Solution

To find the torque of a given force about the origin, we can use the formula for torque (\(\tau\)) which is given by the cross product of the position vector (\(r\)) and the force vector (\(F\)): \[ \tau = r \times F \] ### Step 1: Identify the position and force vectors Given: ...
Promotional Banner

Topper's Solved these Questions

  • SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

    NCERT ENGLISH|Exercise EXERCISE|33 Videos
  • PHYSICAL WORLD

    NCERT ENGLISH|Exercise EXERCISE|16 Videos
  • THERMAL PROPERTIES OF MATTER

    NCERT ENGLISH|Exercise EXERCISE|22 Videos
NCERT ENGLISH-SYSTEMS OF PARTICLES AND ROTATIONAL MOTION-EXERCISE
  1. The force 7 hat i+ 3 hat j - 5 hat k acts on a particle whose position...

    Text Solution

    |

  2. Given the location of the centre of mass of a (i) sphere, (ii) cylinde...

    Text Solution

    |

  3. In the HCI molecule, the separation between the nuclei of the two atom...

    Text Solution

    |

  4. A child is standing at one end of a long trolley moving with a speed v...

    Text Solution

    |

  5. Show that the area of the triangle contained between the vector overse...

    Text Solution

    |

  6. Show that veca.(vecbxxvec c) is equal in magnitude to the volume of th...

    Text Solution

    |

  7. Find the components along the x,y,z axes of the angular momentum overs...

    Text Solution

    |

  8. Two particles each of mass m and speed v, travel in opposite direction...

    Text Solution

    |

  9. A non-uniform bar weight W and length L is suspended by two strings of...

    Text Solution

    |

  10. A car weighs 1800 kg. The distance between its front and back axles is...

    Text Solution

    |

  11. (a) Find the moment of inertia of a sphere about a tangent to the sphe...

    Text Solution

    |

  12. Torques of equal magnitude are applied to hollow cylinder and a solid ...

    Text Solution

    |

  13. A solid cylinder of mass 20 kg rotates about its axis with angular spe...

    Text Solution

    |

  14. A child stands at the centre of a turn table with his two arms outstre...

    Text Solution

    |

  15. A rope of negligible mass is wound around a hollow cylinder of mass 3 ...

    Text Solution

    |

  16. To maintain a rotor at a uniform angular speed of 200 "rad s"^(-1), an...

    Text Solution

    |

  17. From a uniform disc of radius R, a circular section of radius R//2 is ...

    Text Solution

    |

  18. A metre stick is balanced on a knife edge at its centre. When two coin...

    Text Solution

    |

  19. A solid wooden sphere rolls down two different inclined planes of the ...

    Text Solution

    |

  20. A hoop of radius 2 m weight 100 kg.It rolls along a horizontal floor s...

    Text Solution

    |

  21. The oxygen molecule has a mass of 5.30 xx 10^(-26) kg and a moment of ...

    Text Solution

    |