Home
Class 11
PHYSICS
A particle m starts with zero velocity a...

A particle `m` starts with zero velocity along a line `y=4d`. The position of particle `m` varies as `x=A sin omegat`, At `omegat=pi//2`, its angular momentum with respect to the origin

A

`mAomegad`

B

`momegad//A`

C

`mAd//omega`

D

zero

Text Solution

AI Generated Solution

To solve the problem, we need to find the angular momentum of a particle `m` at the moment when `omega t = pi/2`. The particle's position varies as `x = A sin(omega t)`, and it starts with zero velocity along the line `y = 4d`. ### Step-by-Step Solution: 1. **Understand the Position Function:** The position of the particle is given by: \[ x = A \sin(\omega t) ...
Promotional Banner

Topper's Solved these Questions

  • LAWS OF MOTION

    FIITJEE|Exercise Example|12 Videos
  • SIMPLE HARMONIC MOTION

    FIITJEE|Exercise Example|15 Videos

Similar Questions

Explore conceptually related problems

A particle moves with a constant velocity parallel to the X-axis. Its angular momentum with respect to the origin

A body of mass m is moving with a constant velocity along a line parallel to the x-axis, away from the origin. Calculate its angular momentum with respect to the origin?

A mass M moving with a constant velocity parallel to the X-axis. Its angular momentum with respect to the origin

A mass m is moving with a constant velocity along a line parallel to the x-axis, away from the origin. Its angular momentum with respect to the origin.

The time dependence of the position of a particle of mass m = 2 is given by vec(r) (t) = 2t hat(i) - 3 t^(2) hat(j) Its angular momentum, with respect to the origin, at time t = 2 is :

The time dependence of the position of a particle of mass m = 2 is given by vec(r) (t) = 2t hat(i) - 3 t^(2) hat(j) Its angular momentum, with respect to the origin, at time t = 2 is :

A particle of mass m moves in the XY plane with constant velocity v along the straight line PQ as shown in the figure. Its angular momentum with respect to origin O is( theta is angle between vec v and x-axis)

A x and y co-ordinates of a particle are x=A sin (omega t) and y = A sin(omegat + pi//2) . Then, the motion of the particle is

A particle mass 1 kg is moving along a straight line y=x+4 . Both x and y are in metres. Velocity of the particle is 2m//s . Find the magnitude of angular momentum of the particle about origin.

If the particle of mass m is moving with constant velocity v parallel to x-axis in x-y plane as shown in (figure), Find its angular momentum with respect of origin at any time t .

FIITJEE-ROTATIONAL MECHANICS-Example
  1. In the figure shown, a solid sphere of mass 'm' and radius r is releas...

    Text Solution

    |

  2. A cube of side a and mass M is pivoted on a horizontal axis such that ...

    Text Solution

    |

  3. A spool of thread of mass m and moment of inertia I is attached to the...

    Text Solution

    |

  4. A sphere of radius R is projected with a reverse spin omega(0) down a ...

    Text Solution

    |

  5. A plank of mass M is moving on a smooth horizontal surface with speed ...

    Text Solution

    |

  6. A solid sphere is rolling on a rough surface, whose centre of mass is ...

    Text Solution

    |

  7. When a body rolls without sliding up an inclined plane the frictional ...

    Text Solution

    |

  8. A particle m starts with zero velocity along a line y=4d. The position...

    Text Solution

    |

  9. A sphere of radius R and mass M collides elastically with a cubical bl...

    Text Solution

    |

  10. A body of mass m and radius r is released from rest along a smooth inc...

    Text Solution

    |

  11. Let I be the moment of inertia of a uniform square plate about an axis...

    Text Solution

    |

  12. When a car negotiates a curve, the normal force exerted on the inner a...

    Text Solution

    |

  13. A massless string is wrapped around a hollow cylinder having mass m an...

    Text Solution

    |

  14. A cubical box of side length L rests on a rough horizontal surface hav...

    Text Solution

    |

  15. Two identical unifrom rods OA and OB each of length l and mass m are c...

    Text Solution

    |

  16. Two identical unifrom rods OA and OB each of length l and mass m are c...

    Text Solution

    |

  17. Two identical unifrom rods OA and OB each of length l and mass m are c...

    Text Solution

    |