Home
Class 12
PHYSICS
In an XY horizontal plane a force field ...

In an XY horizontal plane a force field `vecF=-(40N//m)(yhati+xhatj)` is present where x and y are the coordinates of any point on the plane. A smooth rod AB is fixed in the plane as shown in the figure. A particle of mass 5kg is to be released with a velocity in this force field such that it reaches to points. Find the minimum velocity that must be imparted along the rod at A such that it reaches to B.

A

1 m/s

B

2 m/s

C

3 m/s

D

4 m/s

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • WORK, ENERGY AND POWER

    FIITJEE|Exercise ASSIGNMENT PROBLEMS ( OBJECTIVE) (LEVEL-I) (ASSERTION REASONING TYPE)|2 Videos

  • WORK, ENERGY AND POWER

    FIITJEE|Exercise ASSIGNMENT PROBLEMS ( OBJECTIVE) (LEVEL-II)|19 Videos

  • WORK, ENERGY AND POWER

    FIITJEE|Exercise ASSIGNMENT PROBLEMS ( SUBJECTIVE) (LEVEL-II & III)|15 Videos

  • TEST PAPERS

    FIITJEE|Exercise PHYSICS|747 Videos

Similar Questions

Explore conceptually related problems

A rod AB is placed on smooth inclined plane as shown in the figure. At the instant which is shown in the figure, the angular velocity of the rod is

A particle is moving with constant speed v in xy plane as shown in figure. The magnitude of its angular velocity about point O is

A particle of mass 20 g experiences a gravitational force of 4.0 N along positive x - direction. Find the gravitational field at that point.

Find the magnitude of the horizontal force F required to keep the block of mass m stationary on the smooth inclined plane as shown in the figure.

For the system shown in the figure, a small block of mass m and smooth irregular shaped block of mass M , both free to move are placed on a smooth horizontal plane. The minimum velocity v imparted to block so that it will overcome the highest point of M is

A particle of mass 5kg is moving on rough fixed inclined plane with constant velocity of 5m//s as shown in the figure. Find the friction force acting on a body by plane.

A body of mass m is released from the top of a rough inclined plane as shown in figure. If the frictional force be F, then body will reach the bottom with a velocity

On a horizontal smooth plane there is a fixed vertical cylinder and a particle A connected to the cylinder by a thread AB. The particle is set in motion with the initial velocity v as shown in the figure. Is there any fixed point relative to which the angular momentum of the particle is constant in the process of motion?

FIITJEE-WORK, ENERGY AND POWER -ASSIGNMENT PROBLEMS ( OBJECTIVE) (LEVEL-I)
  1. An object is acted upon by the forces vec(F)(1)=4hat(i)N and vec(F)(2)...

    Text Solution

    |

  2. A small body slides from rest along two equally rough circular surface...

    Text Solution

    |

  3. In an XY horizontal plane a force field vecF=-(40N//m)(yhati+xhatj) is...

    Text Solution

    |

  4. A stone is projected at time t=0 with a speed v(0) at an angle theta ...

    Text Solution

    |

  5. A block of mass m is suspended by a light thread from an elevator. The...

    Text Solution

    |

  6. A particle initially at rest is displaced from x=-10 m to x=+10m, und...

    Text Solution

    |

  7. A particle of mass m starts from rest and moves in a circular path of ...

    Text Solution

    |

  8. A particle of mass m attached to an inextensible light string is mov...

    Text Solution

    |

  9. A block of mass 10 kg accelerates uniformly from rest to a speed of 2 ...

    Text Solution

    |

  10. A conservative force acts on a particle as the particle moves along ...

    Text Solution

    |

  11. A particle moves along the X-axis from x=0 to x=5m under the influence...

    Text Solution

    |

  12. Two springs have their force constant as K(1) and K(2)(K(1)lt K(2)). W...

    Text Solution

    |

  13. A body of mass 0.1 g moving with a velocity of 10 m/s hits a spring (f...

    Text Solution

    |

  14. A body of mass 1 kg thrown with a velocity of 10m/s comes to rest ( mo...

    Text Solution

    |

  15. A fixed wedge ABC is in the shape of an equilateral triangle of side l...

    Text Solution

    |

  16. One fourth chain is hanging down from a table work done to bring the h...

    Text Solution

    |

  17. A force shown in the F-x graph is applied to 5 kg cart, which then coa...

    Text Solution

    |

  18. A body of mass 100 g is rotating in a circular path of radius r with...

    Text Solution

    |

  19. What is the velocity of the bob of a simple pendulum at its mean posit...

    Text Solution

    |

  20. A car moving with a velocity of 10m/s can be stopped by the applicatio...

    Text Solution

    |