Home
Class 12
PHYSICS
Two particles A,B are moving on two conc...

Two particles A,B are moving on two concentric circles of radii `R_1` and `R_2` with equal angular speed `omega`. At`t=0`,their positions and direction of motion are shown in the figure. The relative velocity `vecV_a-vecV_b` at `t=pi//2omega` is given by :

A

`omega(R_(1)-R_(2))hati`

B

`omega(R_(1) + R_(2))hati`

C

`-omega(R_(1) + R_(2))hati`

D

`omega(R_(2)- R_(1))hati`

Text Solution

Verified by Experts

The correct Answer is:
D
At `t=pi/(2omega), theta = omegat = pi/2`. Hence the position of A and B would
`vecV_(A) = R_(1)omega(-hati)`

`vecV_(B) -V_(A)=(R_(1)omega - R_(2)omega)(-hati)`
or `vecV_(A) - vecV_(B) =(R_(2)-R_(1))omega(hati)`
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

Two particles A and B are moving in uniform circular motion in concentric circles of radii r_(A) and r_(B) with speed u_(A) and u_(B) respectively. Their time period of rotation is the same. The ratio of angular speed of a to that of B will be:

Two particles A and B are revolving with constant angular velocity on two concentric circles of radius 1m and 2m respectively as shown in figure. The positions of the particles at t = 0 are shown in figure. The positions of the particles at t=0 are shown in figure. if m_(A)=2kg, m_(B)= 1kg and vec(P)_(A) and vec(P)_(B) are linear momentum of the particle then what is the maximum value of |vec(P)_(A)+vec(P)_(B)| in kg-m/sec in subsequent motion of two particles.

Two particle move in concentric circles of radii r_(1) and r_(2) such that they maintain a straight line through the center. The ratio of their angular velocities is:

Two particles P and Q are moving as shown in the figure. At this moment of time the angular speed of P w.r.t. Q is

The magnitude of displacement of a particle moving in a circle of radius a with constant angular speed omega varries with time t is

Two particles A and B are moving as shown in figure. At this moment of time, the angular speed of A with respect to B is?

A particle moves along a circle of radius R with a constant angular speed omega . Its displacement (only magnitude) in time t will be

Two particles A and B are moving in a horizontal plane anitclockwise on two different concentric circles with different constant angular velocities 2omega and omega respectively. Find the relative velocity (in m/s) of B w.r.t. A after tome t=pi//omega . They both start at the position as shown in figure ("Take" omega=3rad//sec, r=2m)

Two particles are moving in different circles in same plane with different angular velocities as shown in figure. At t = 0, initial positions of particles A and B are shown by dots on the respective circles. Initial distance between particles is 1m. Particle A move anticlockwise in the first circle whereas B moves clockwise in the second circle. Angle described (rotated) by A and B in time 't' are theta_(A)=((pi)/2t) and theta_(B)=(pit) respectively. here theta is in radian and t is in second. Radius of each circle is shown in diagram. At time t=2 second, the angular velocity of the particle A with respect to the particle B is

A and B are moving in two circular orbits with angular velocity 2 omega and omega respectively. Their position are shown at t = 0. Find the time at which they will meet for 1st time

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

    |