Home
Class 12
PHYSICS
A wheel of moment of inertia I and radiu...

A wheel of moment of inertia I and radius r is free to rotate about its centre as shown in figure. A string is wrapped over its rim and a block of mass m is attached to the free end of the string. The system is released from rest. Find the speed of the block as it descends through a height h.

A

`((mgh)/(I))^(1//2)`

B

`((2mgh)/(m+I))^(1//2)`

C

`((2mgh)/(m+I//r^(2)))^(1//2)`

D

`((m+I)/(2mgh))^(1//2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    VMC MODULES ENGLISH|Exercise EFFICIENT|50 Videos
  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    VMC MODULES ENGLISH|Exercise IMPECCABLE|56 Videos
  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    VMC MODULES ENGLISH|Exercise IMPECCABLE|56 Videos
  • SYSTEM OF A PARTICLES & ROTATIONAL MOTION

    VMC MODULES ENGLISH|Exercise IN-CHAPTER EXERCISE F|10 Videos
  • UNITS, MEASUREMENTS & ERRORS

    VMC MODULES ENGLISH|Exercise IN - CHAPTER EXERCISE - B|10 Videos

Similar Questions

Explore conceptually related problems

A disc of mass m and radius r is free to rotate about its centre as shown in the figure. A string is wrapped over its rim and a block of mass m is attached to the free end of the string. The system is released from rest. The speed of the block as it descends through a height h, is :-

A uniformly thick wheel with moment of inertia I and radius R is free to rotate about its centre of mass (see fig). A massless string is wrapped over its rim and two blocks of masses m_(1) and m_(2)(m_(1)gtm_(2)) are attached to the ends of the string. The system is released from rest. The angular speed of the wheel when m_(1) descents by a distance h is :

A uniform disc of radius R and mass M is free to rotate only about its axis. A string is wrapped over its rim and a body of mass m is tied to the free end of the string as shown in the figure. The body is released from rest. Then the acceleration of the body is

A uniform disc of radius R and mass M is free to rotate only about its axis. A string is wrapped over its rim and a body of mass m is tied to the free end of the string as shown in the figure. The body is released from rest. Then the acceleration of the body is

A uniform disc of radius R and mass M is free to rotate about a fixed horizontal axis perpendicular to its plane and passing through its centre. A string is wrapped over its rim and a block of mass m is attached to the free end of the string. The block is released from rest. If string does not slip on the rim then find the acceleration of the block. Neglect the mass of the string.

A wheel of moment of inertia I and radius R is rotating about its axis at an angular speed omega . It picks up a stationary particle of mass m at its edge. Find the new angular speed of the wheel.

A wheel of moment of inertial I and radius R is rotating about its axis at an angular speed omega . It picks up a stationary particle of mass m at its edge. Find the new angular speed of the wheel.

Two masses M and m are connect by a light string gong over a pulley of radis r. The pulley is free to rotate about its axis which is kept horizontal. The moment of inertia of the pulley about the axis is I. The system is releaed from rest. Find the angular momentum fo teh system when teh mass Mhas descended through a height h. The string does not slip over the pulley.

A wheel of radius 10 cm can rotate freely about its centre as shown in figure. A string is wrapped over its rim and is pulled by a force of 5.0 N. It is found that the torque produces an angular acceleration 2.0 rad s^-2 in the wheel. Calculate the moment of inertia of the wheel.

For given system as shown in figure, the acceleration of block of mass m(m=M/2) kept on smooth table when the system is released from rest is (Strings and pulleys are ideal)

VMC MODULES ENGLISH-SYSTEM OF PARTICLES AND ROTATIONAL MOTION-ENABLE
  1. A small ball of radius r rolls without sliding in a big hemispherical ...

    Text Solution

    |

  2. A solid sphere rests on a horizontal surface. A horizontal impulse is ...

    Text Solution

    |

  3. A wheel of moment of inertia I and radius r is free to rotate about it...

    Text Solution

    |

  4. In the following figure, a body of mass m is tied at one end of a ligh...

    Text Solution

    |

  5. Three rings each of mass M and radius R are arranged according to the ...

    Text Solution

    |

  6. A force F acts tangentially at the highest point of a sphere of mass m...

    Text Solution

    |

  7. A tube of length L is filled completely with an incompressible liquid ...

    Text Solution

    |

  8. A wheel is rolling uniformly along a level road (see figure). The spee...

    Text Solution

    |

  9. Two masses of 3kg and 5kg are placed at 20 cm and 70cm marks respectiv...

    Text Solution

    |

  10. A rod of mass 3 kg and of length 3m is bent in the form of an equilate...

    Text Solution

    |

  11. A ring of mass m and radius R has three particles attached to the ring...

    Text Solution

    |

  12. The distance of the centre of mass of T-shaped uniform plate from O is...

    Text Solution

    |

  13. Two uniform rods of equal length but different masses are rigidly join...

    Text Solution

    |

  14. A uniform rod of length L is free to rotate in a vertical plane about ...

    Text Solution

    |

  15. A sphere of mass M rolls without slipping on the inclined plane of inc...

    Text Solution

    |

  16. A cubical block of mass M and edge a slides down a rougg inclined plan...

    Text Solution

    |

  17. A 'T' shaped object with dimension shown in the figure, is lying on a ...

    Text Solution

    |

  18. Consider a uniform sqare plate of side 'a' and mass 'm'. The moment of...

    Text Solution

    |

  19. A uniform rod of length 6a and mass 8m lies on a smooth horizontal tab...

    Text Solution

    |

  20. The moment of inertia of a thin square plate ABCD, fig, of uniform thi...

    Text Solution

    |