Home
Class 11
PHYSICS
Two cylinders having radii 2R and R and ...

Two cylinders having radii `2R` and `R` and moment of inertia `4I` and `I` about their central axes are supported by axles perpendicular to their planes. The large cylinder is initially rotating clockwise with angular velocity `omega_(0)`. The small cylinder is moved to the right until it touches the large cylinder and is caused to rotate by the frictional force between the two. Eventually slipping ceases and the two cylinders rotate at constant rates in opposite directions. During this

A

angular momentum of system is conserved

B

kinetic energy is conserved

C

neither the angular momentum nor the kinetic energy is conserved

D

both the angular momentum and kinetic energy are conserved

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • ROTATIONAL MOTION

    DC PANDEY|Exercise A Only One Option is Correct|86 Videos

  • ROTATIONAL MOTION

    DC PANDEY|Exercise More than one option is correct|36 Videos

  • ROTATIONAL MECHANICS

    DC PANDEY|Exercise Subjective Questions|2 Videos

  • SEMICONDUCTORS AND ELECTRONIC DEVICES

    DC PANDEY|Exercise More than One Option is Correct|3 Videos

Similar Questions

Explore conceptually related problems

Two cylinders having radiii R_(1) and R_(2) and rotational inertia I_(1) and I_(2) respectively, are supported by fixed axes perpendicular to the plane of figure-5.52. The large cylinder is initially rotating with angular velocity omega_(0) . The small cylinder is moved to the right until it touches the large cylinder and is caused to rotate by the frictional force between the two. Eventually, slipping ceases, and the two cylinders rotate at constant rates in opposite directions, (a) Find the final angular velocity omega_(2) of the small cylinder in terms of I_(1) , I_(2) , R_(1) , R_(2) and omega_(0) . (b) Is total angular momentum conserved in this case ?

Two cylinders with radii r_(1) and r_(2) and rotational inertia I_(1) and I_(2) are supported on their horizontal axles. The first one is set in rotation with angular velocity epsilon . The axle of the other cylinder (smaller) is moved until it touches the large cylinder and is caused to rotate by the frictional forces between the two. Find the angualr velocity of the two cylinders after slipping ceases between them. [Hint: Consider angular impulse received by the cylinders]

Find the moment of inertia of a uniform cylinder about an axis through its centre of mass and perpendicular to its base. Mass of the cylinder is M and radius is R.

A cylinder full of water is rotating about its own axis with uniform angular velocity omega . Then the shape of free surface of water will be

A cylinder is rotating with angular velocity omega_(0) and is gently put on a rough horizontal floor. Assume mass of the cylinder is m and radius R. Calculate the velocity of cylinder when it starts pure rolling on the surface.

A solid cylinder of mass 20 kg rotates about its axis with angular velocity of 100 radian s^(-1) . The radius of the cylinder is 0.25m . The magnitude of the angular momentum of the cylinder about its axis of rotation is

A solid cylinder of mass m rolls without slipping down an inclined plane making an angle theta with the horizontal. The frictional force between the cylinder and the incline is

Figure shows two cylinders of raddi r_1 and r_2 having moments of inertia I_1 and I_2 about their respective axes. Initially the cylinders rotate about their axes with angular speed omega_1 and omega_2 as shown in the figure. The cylinders are moved closer to touch each other keeping the axes parallel. The cylinders first slipover each other at the contact but the slipping finally ceases due to the friction between them. Find the angular speeds of the sylinders after the slipping ceases.

Two horizontal discs A and B of radii r and 2r having moments of inertia I and 4I about their axes. Initially, disc A is rotating with omega_(0) and disc B is at rest. Their rims are now brought in contact. The discs first slip over each other at the contact but slipping finally ceases due to the fricition between them. Find the angular speeds of the discs after the slipping ceases. Also, find the loss in kinetic energy.

DC PANDEY-ROTATIONAL MOTION-Integer Type Questions
  1. Two cylinders having radii 2R and R and moment of inertia 4I and I abo...

    Text Solution

    |

  2. A ring and a disc having the same mass, roll without slipping with the...

    Text Solution

    |

  3. A wheel starting from rest is uniformly acceleration with angular acce...

    Text Solution

    |

  4. Radius of gyration of a body about an axis at a distance 6 cm from it ...

    Text Solution

    |

  5. A uniform rod of mass 2 kg and length 1 m lies on a smooth horizontal ...

    Text Solution

    |

  6. A uniform rod of mass m, hinged at its upper end, is released from res...

    Text Solution

    |

  7. An uniform spherical shell of mass m and radius R starts from rest wit...

    Text Solution

    |

  8. A small pulley of radius 20 cm and moment of inertia 0.32 kg-m^(2) is ...

    Text Solution

    |

  9. If a disc of mass m and radius r is reshaped into a ring a radius 2r,t...

    Text Solution

    |

  10. A disc of mass 4 kg and radius 6 metre is free to rotate in horizontal...

    Text Solution

    |

  11. Find the acceleration of slid right circular roller A, weighing 12kg w...

    Text Solution

    |

  12. Two thin planks are moving on a four identical cylinders as shown. The...

    Text Solution

    |

  13. A wheel of radius R=1 m rolls on ground with uniform velocity v=2 m/s ...

    Text Solution

    |

  14. A cylinder rolls down on an inclined plane of inclination 37^(@) from ...

    Text Solution

    |

  15. A car is moving rightward with acceleration a=gsqrt(k)m//s^(2) . Find ...

    Text Solution

    |

  16. A uniform thin rod has mass m and length l. One end of the rod lies ov...

    Text Solution

    |

  17. A wheel of radius R=2m performs pure rolling on a rough horizontal su...

    Text Solution

    |

  18. A uniform rod of length l and mass m is suspended from one end by inex...

    Text Solution

    |