Home
Class 12
PHYSICS
A particle having mass m is projected wi...

A particle having mass m is projected with a velocity `v_(0)` from a point P on a horizontal ground making an angle `theta` with horizontal. Find out the torque about the point of projection acting on the particle when
it is at its maximum height ?

Text Solution

Verified by Experts

Particle is at maximum height then `tau` about point P
is ` tau_(P) = r_(bot) = (R)/(2)`
`rArr tau_(p) = (R)/(2) mg = mg xx (V_(0)^(2) sin 2 theta)/(2g)`
` tau_(p)= (mv_(0)^(2)sin 2 theta)/(2)`
Promotional Banner

Topper's Solved these Questions

  • 10 ROTATIONAL

    MOTION|Exercise Example 31|1 Videos
  • 10 ROTATIONAL

    MOTION|Exercise Exercise - 1|77 Videos
  • ALTERNATING CURRENT

    MOTION|Exercise EXERCISE - 4 (LEVEL - II)|14 Videos

Similar Questions

Explore conceptually related problems

A particle having mass m is projected with a velocity v_(0) from a point P on a horizontal ground making an angle theta with horizontal. Find out the torque about the point of projection acting on the particle when It is just about to hit the ground back ?

A particle of mass m is projected with a speed v_(0) at an angle of projection theta with horizontal. Find the torque of the weight of the particle about the point of projection after time (v_(0)sintheta)/(g)

A particle of mass "m" is projected with a velocity ' "u" ' making an angle of 30^(@) with the horizontal. The magnitude of angular momentum of the projectile about the point of projection when the particle is at its maximum height "h" is :

A particle of mass 'm' is projected with a velocity upsilon making an angle of 30^(@) with the horizontal. The magnitude of angular moment of the projectile about the point of projection when the particle is at its maximum height 'h' is

A particle of mass m is projected with a velocity v making an angle of 45^@ with the horizontal. The magnitude of the angular momentum of the projectile abut the point of projection when the particle is at its maximum height h is.

A particle of mass m is projected with velocity v at an angle theta with the horizontal. Find its angular momentum about the point of projection when it is at the highest point of its trajectory.

A body of mass m is projected with a velocity u at an angle theta with the horizontal. The angular momentum of the body, about the point of projection, when it at highest point on its trajectory is

A particle projected with velocity u at angle theta with horizontal at t=0. What is the magnitude of change in the velocity of the particle when it is at maximum height?

A particle of mass m is projected with an initial velocity U at an angle theta to the horizontal. The torque of gravity on projectile at maximum height about the point of projection is

MOTION-10 ROTATIONAL-Exercise - 4 (Level - II)
  1. A particle having mass m is projected with a velocity v(0) from a poi...

    Text Solution

    |

  2. A block of mass m is held fixed against a wall by a applying a horizon...

    Text Solution

    |

  3. A disc has mass 9 m. A hole of radius R/3 is cut from it as shown in t...

    Text Solution

    |

  4. A particle moves in circular path with decreasing speed. Which of the ...

    Text Solution

    |

  5. A wooden log of mass M and length L is hinged by a frictionless nail a...

    Text Solution

    |

  6. A cylinder of mass m and radius R rolls down an inclined plane of incl...

    Text Solution

    |

  7. Two identical ladders, each of mass M and length L are resting on the ...

    Text Solution

    |

  8. A solid sphere of mass M, radius R and having moment of inertia about ...

    Text Solution

    |

  9. A solid cylinder of mass m and radius r is rolling on a rough inclined...

    Text Solution

    |

  10. A ball moves over a fixed track as shown in the figure. From A to B ba...

    Text Solution

    |

  11. A rectangular plate of mass M and dimension axxb is held in horizonta...

    Text Solution

    |

  12. Two discs A and B are mounted coaxially ona vertical axle. The discs h...

    Text Solution

    |

  13. Two discs A and B are mounted coaxially ona vertical axle. The discs h...

    Text Solution

    |

  14. Two discs A and B are mounted coaxially ona vertical axle. The discs h...

    Text Solution

    |

  15. A small object of uniform density rolls up a curved surface with an in...

    Text Solution

    |

  16. Satement-1: if there is no external torque on a body about its centre ...

    Text Solution

    |

  17. Two cylinders, one hollow (metal) and the other solid (wood) with the ...

    Text Solution

    |

  18. A uniform thin cylindrical disk of mass M and radius R is attaached to...

    Text Solution

    |

  19. A uniform thin cylindrical disk of mass M and radius R is attaached to...

    Text Solution

    |

  20. A uniform thin cylindrical disk of mass M and radius R is attaached to...

    Text Solution

    |

  21. If the resultant of all the external forces acting on a system of part...

    Text Solution

    |