Home
Class 11
PHYSICS
A particle falls freely near the surface...

A particle falls freely near the surface of the earth. Consider a fixed point `O` (not vertically below the particle) on the ground. Then pick up the correct alternative or alternatives.

A

Angular momentum of the particle about O is increasing

B

Torque of the gravitational force on the particle about O is decreasing

C

The moment of inertia of the particle about O is decreasing

D

The angular velocity of the particle about O is increasing.

Text Solution

Verified by Experts

The correct Answer is:
B
The magnitude of angular momentum of particle about O=mvd
Since speed v of particle increases, its angular momentum about O increases.
Magnitude of torque of gravitational force about O=mgd `rArr` constant.
Hence MI of particle about O decreases.

angular velocity of particle about `O=(v sin theta)/r`
`:'` v and `sin theta` increases and r decreases
`:.` angular velocity of particle about O increases.
Promotional Banner

Topper's Solved these Questions

  • PART TEST 6

    RESONANCE ENGLISH|Exercise Exercise|30 Videos

  • SEMICONDUCTORS

    RESONANCE ENGLISH|Exercise Exercise|29 Videos

Similar Questions

Explore conceptually related problems

A particle is fired vertically upwards from the surface of earth and reaches a height 6400 km. Find the initial velocity of the particle if R = 6400 km and g at the surface of earth is 10 m//s^(2) .

A particle is thrown vertically upwards from the surface of the earth. Let T_(P) be the time taken by the particle to travel from a point P above the earth to its highest point and back to the point P. Similarly, let T_(Q) be the time taken by the particle to travel from another point Q above the earth to its highest point and back to the same in terms of T_(P), T_(Q) and H, is :-

A heavy particle of mass m falls freely near the earth's surface.Whati si the torque acting on this particle about a point 50 cm east to the lie of motiin? Does this a point 50 cm east to the line of motion? Does this toruque produce any angular accelertio in the particle?

A particle is projected vertically with speed V from the surface of the earth . Maximum height attained by the particle , in term of the radius of earth R,V and g is ( V lt escape velocity , g is the acceleration due to gravity on the surface of the earth )

A particle is given a velocity (v_(e ))/(sqrt(3)) in a vertically upward direction from the surface of the earth, where v_(e ) is the escape velocity from the surface of the earth. Let the radius of the earth be R. The height of the particle above the surface of the earth at the instant it comes to rest is :

Velocity-time graph of a particle executing SHM is shown in figure. Select the correct alternative(s).

On a wave pulse travelling towards left, there is a particle A as shown in the diagram. Referring to the particle A, choose the correct alternative.

A particle is throws vertically upwards from the surface of earth and it reaches to a maximum height equal to the radius of earth. The radio of the velocity of projection to the escape velocity on the surface of earth is

STATEMENT-1 : A particle is projected with a velocity 0.5sqrt(gR_(e )) from the surface of the earth at an angle of 30^(@) with the vertical (at that point ) its velocity at the highest point will be 0.25sqrt(gR_(e )) because STATEMENT-2 : Angular momentum of the particle earth system remains constant.

Potential energy curve U of a particle as function of the position of a particle is shown. The particle has total mechanical energy E of 3.0 joules. Then select correct alternative.

RESONANCE ENGLISH-RIGID BODY DYNAMICS-Exercise
  1. S(1): Net torque on a system due to all internal force about any point...

    Text Solution

    |

  2. A rigid body is in pure rotation, that is, undergoing fixed axis rotat...

    Text Solution

    |

  3. A particle falls freely near the surface of the earth. Consider a fixe...

    Text Solution

    |

  4. A particle has a linear momentum p and position vector r. the angular ...

    Text Solution

    |

  5. In the given figure a ball strikes a uniform rod of same mass elastica...

    Text Solution

    |

  6. A disc of circumference s is at rest at a point A on horizontal surfac...

    Text Solution

    |

  7. A hole of radius R/2 is cut from a thin circular plate of raduis R as ...

    Text Solution

    |

  8. A uniform disc of mass m and radius R is rolling up a rough inclined p...

    Text Solution

    |

  9. A uniform cube of side a and mass m rests on a rough horizontal table....

    Text Solution

    |

  10. If radius of the earth contracts to half of its present value without ...

    Text Solution

    |

  11. A disc of mass M and radius R is suspended in a vertical plane by a ho...

    Text Solution

    |

  12. A particle performing uniform circular motion has angular momentum L. ...

    Text Solution

    |

  13. A small ball of radius r rolls down without sliding in a big hemispher...

    Text Solution

    |

  14. A solid iron sphere A rolls down an inclined plane, while another holl...

    Text Solution

    |

  15. A solid sphere and a solid cylinder having the same mass and radius, r...

    Text Solution

    |

  16. A ring, a disc a sphere and spherical shells are simutaneously release...

    Text Solution

    |

  17. Consider a wheel of a bicycle rolling on a level road at a linear spee...

    Text Solution

    |

  18. Statement 1: A solid sphere and a hollow sphere of same radius and sam...

    Text Solution

    |

  19. Statement-1: if moment of inertia of a rigid body is equal about two a...

    Text Solution

    |

  20. Statement-1 : A thin uniform rod is undergoing fixed axis rotation abo...

    Text Solution

    |