Home
Class 11
PHYSICS
A unit mass at position vector vecr=(3ha...

A unit mass at position vector `vecr=(3hati+hatj)` is moving with velocity `vecv=(5hati-6hatj)`. What is the angular momentum of the body about the origin?

A

2 units along z-axis

B

38 units along x-axis

C

38 units along y-axis

D

38 units along z-axis

Text Solution

Verified by Experts

The correct Answer is:
D

`vec(P)=mvec(v)xxvec(r)=1(5hat(i)-6hat(j))xx(3hat(i)+4hat(j))=38hat(k)`
Promotional Banner

Topper's Solved these Questions

  • ROTATIONAL MOTION

    ERRORLESS|Exercise NCERT BASED QUESTIONS (Work, Energy and Power)|44 Videos
  • ROTATIONAL MOTION

    ERRORLESS|Exercise NCERT BASED QUESTIONS (Rolling on Inclined Plane)|54 Videos
  • ROTATIONAL MOTION

    ERRORLESS|Exercise NCERT BASED QUESTIONS (Moment of Inertia)|139 Videos
  • NEWTON'S LAWS OF MOTION

    ERRORLESS|Exercise ASSERTION & REASON |18 Videos
  • SIMPLE HARMONIC MOTION

    ERRORLESS|Exercise Assertion & Reason|15 Videos

Similar Questions

Explore conceptually related problems

A particle of mass 0.01 kg having position vector vecr = ( 10 hati + 6 hatj) meters is moving with a velocity 5 hati m/s . Calculate its angular momentum about the origin.

A unit mass has vecr=8hati-4hatj and vecv=8hati+4hatj What is its angular momentum ?

A partical has the position vector r = hati - 2 hatj + hatk and the linear momentum p = 2 hati - hatj + hatk its angular momentum about the origin is

The position vector vecr and linear momentum vecp and vecr=hati and vecp=4hatj the angular momentum vector is perpendicular to

The position of a particle is given by vecr=(hati+2hatj-hatk) and momentum vecp=(3hati+4hatj-2hatk) . The angular momentum is perpendicular to the

A constant force vecF=2hati-hatj-hatk moves a particle from position vector vecr_(1)=-5hati-4hatj+hatk to position vector vec r_(2)=-7hati-2hatj+2hatk . What will be the work done by this force ?

Forces 2hati+hatj, 2hati-3hatj+6hatk and -hati+2hatj-hatk act at a point P, with position vector 4hati-3hatj-hatk . Find the vector moment of the resultant of these forces about thepoint Q whose position vector is 6hati+hatj=3hatk

To the captain of a ship A travelling with velocity vecv_(A)=(3hati-4hatj)km..h , a second ship B appears to have a velocity (5hati+12hatj) km//h . What is the true velocity of the ship B?

ERRORLESS-ROTATIONAL MOTION-NCERT BASED QUESTIONS (Angular Momentum)
  1. When a mass is rotating in a plane about a fixed point, its angular mo...

    Text Solution

    |

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

    Text Solution

    |

  3. A mass M moving with a constant velocity parlale to the X-axis. Its an...

    Text Solution

    |

  4. A round disc of moment of inertia I2 about its axis perpendicular to i...

    Text Solution

    |

  5. if the earth is treated as a sphere of radius Radn mass M, Its angular...

    Text Solution

    |

  6. If the earth shrinks such that its mass does not change but radius dec...

    Text Solution

    |

  7. A particle of mass m is moving in yz-plane with a unifrom velocity v w...

    Text Solution

    |

  8. A Merry -go-round, made of a ring-like plarfrom of radius R and mass M...

    Text Solution

    |

  9. A particle of mass m = 5 unit is moving with a uniform speed v = 3 sqr...

    Text Solution

    |

  10. The angular speed of a body changes from omega1 to omega2 without app...

    Text Solution

    |

  11. If the radius of the earth contracts to half of its present value with...

    Text Solution

    |

  12. A cockroach is moving with velocity v in anticlockwise direction on th...

    Text Solution

    |

  13. A billiard ball of mass m and radius r, when hit in a horizontal direc...

    Text Solution

    |

  14. A bar of length l carrying a small mass m at one of its ends rotates w...

    Text Solution

    |

  15. A horizontal disk of moment of inertia 4.25 kg-m^(2) with respect to i...

    Text Solution

    |

  16. The graph between the angular momentum J and angular velocity omega w...

    Text Solution

    |

  17. A unit mass at position vector vecr=(3hati+hatj) is moving with veloci...

    Text Solution

    |

  18. A body 'A' moves with constant velocity on a straight line path tangen...

    Text Solution

    |

  19. Two particles A and B are moving as shown in figure. Their total angul...

    Text Solution

    |

  20. A particle of mass m is moving in a circular orbit of radius r in a fo...

    Text Solution

    |