Home
Class 12
PHYSICS
The magnitude of torque on a particle of...

The magnitude of torque on a particle of mass 1 kg is 2.5 Nm about the origin.If the force acting it is 1 N, and the distance of the particle from the origin is 5 m, the angle between the force and the position vector is (in radians):

A

`pi/4`

B

`pi/6`

C

`pi/3`

D

`pi/8`

Text Solution

Verified by Experts

The correct Answer is:
B
`tau = FR sin theta, sin theta =(2.5)/(1 xx 5) therefore theta = 30^(@)`.
Promotional Banner

Topper's Solved these Questions

  • ROTATIONAL MOTION

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive) (SINGLE OPTION CORRECT TYPE)|26 Videos

  • ROTATIONAL MOTION

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive) (MULTIPLE OPTIONS CORRECT TYPE)|17 Videos

  • ROTATIONAL MOTION

    VMC MODULES ENGLISH|Exercise LEVEL - 2 (Angular Momentum, Collision)|20 Videos

  • REVISION TEST-2 JEE

    VMC MODULES ENGLISH|Exercise PHYSICS|25 Videos

  • SIMPLE HARMONIC MOTION

    VMC MODULES ENGLISH|Exercise 7-previous year question|46 Videos

Similar Questions

Explore conceptually related problems

The gravitational field in a region is given by vecE=(5Nkg^-1)veci+(12Nkg^-1)vecj. . a. find the magnitude of the gravitational force acting on a particle of mass 2 kg placed at the origin b. Find the potential at the points (12m,0) and (0,5m) if the potential at the origin is taken to be zero. c. Find the change in gravitational potential energy if a particle of mass 2 kg is taken from the origin to the point (12m,5m). d. Find the change in potential energy if the particle is taken from (12m,0) to (0,5m) .

Find the torque about the origin when a force of 3 hatj N acts on a particle whose position vector is 2 hatk m

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.

The moment of a force of 50 N about a point is 5 Nm. Find the perpendicular distance of force from that point.

Find the torque of a force (7 hati + 3hatj - 5hatk) about the origin. The force acts on a particle whose position vector is (hati - hatj + hatk) .

A force Fhatk acts on O, the origin of the coordinate system. The torque of this force about the point is: (1,-1) is

A time dependent force F=6t acts on a particle of mass 1kg . If the particle starts from rest, the work done by the force during the first 1 sec. will be

A single force acts on a particle situated on the negative x-axis. The torque about the origin is in the positive z-direction. The force is

A particle of mass m moves on positive x-axis under the influence of force acting towards the origin given by -kx^2 hat i. If the particle starts from rest at x=a, the speed it will attain when it crosses the origin is

Consider a system of two particles having masses m_(1) and m_(2) . If the particle of mass m_(1) is pushed towards the centre of mass of particles through a distance d , by what distance would the particle of mass m_(2) move so as to keep the mass centre of particles at the original position?

VMC MODULES ENGLISH-ROTATIONAL MOTION -JEE MAIN (ARCHIVE)
  1. A solid sphere of mass m & rdius R is divided in two parts of m mass (...

    Text Solution

    |

  2. A metal coinn of mass 5 g and radius 1 cm is fixed to a thin stick AB...

    Text Solution

    |

  3. A circular disc of radius b has a hole of radius a at its centre (see ...

    Text Solution

    |

  4. A uniform rod of length l is being rotated in a horizontal plane with ...

    Text Solution

    |

  5. A smooth wire of length 2pir is bent into a circle and kept in a vert...

    Text Solution

    |

  6. A rod of length 50cm is pivoted at one end. It is raised such that if ...

    Text Solution

    |

  7. An L-shaped object, made of thin rods of uniform mass density, is susp...

    Text Solution

    |

  8. A rigid massless rod of length 3l has two masses attached at each end ...

    Text Solution

    |

  9. Two identical spherical balls of mass M and radius R each are stuck on...

    Text Solution

    |

  10. A homogenous solid cylindrical roller of radius R and mass M is pulled...

    Text Solution

    |

  11. To mop-clean a floor, a cleaning machine presses a circular mop of rad...

    Text Solution

    |

  12. A string is wound around a hollow cylinder of mass 5 Kg and radius ...

    Text Solution

    |

  13. A circular disc D(1) of mass M and radius R has two identical disc D(...

    Text Solution

    |

  14. The magnitude of torque on a particle of mass 1 kg is 2.5 Nm about t...

    Text Solution

    |

  15. An equilateral triangle ABC is cut from a thin solid sheet of wood .(s...

    Text Solution

    |

  16. A slab is subjected to two forces vec F(1) and vec F(2) of same magnit...

    Text Solution

    |

  17. A particle of mass 20 g is released with an initial velocity 5m//s alo...

    Text Solution

    |

  18. The moment of inertia of a solid sphere, about an axis parallel to its...

    Text Solution

    |

  19. Two particles A,B are moving on two concentric circles of radii R1 and...

    Text Solution

    |

  20. Let the moment of inertia of a hollow cylinder of length 30 cm (...

    Text Solution

    |