Home
Class 12
PHYSICS
A disc of mass m and radius r is free to...

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

`sqrt(2gh)`

B

`sqrt((2)/(3)gh)`

C

`2sqrt((gh)/(3))`

D

`(1)/(2)sqrt(3gh)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • RACE

    ALLEN|Exercise Basic Maths (GRAVITATION)|25 Videos
  • RACE

    ALLEN|Exercise Basic Maths (Properties of Matter & Fluid Mechanics)(Elasticity)|20 Videos
  • RACE

    ALLEN|Exercise Basic Maths (COLLISION AND CENTRE OF MASS )|12 Videos
  • NEWTONS LAWS OF MOTION

    ALLEN|Exercise EXERCISE-III|28 Videos
  • SIMPLE HARMONIC MOTION

    ALLEN|Exercise Example|1 Videos

Similar Questions

Explore conceptually related problems

A wheel of moment of inertia I and rdius 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 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 uniformaly 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)an d m_(2)(m_(1)gtm_(2)) are attached to the ends of the strung. 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 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 whose radius is R and moment of inertia about its own axis is I, rotates freely about its own axis. A rope is wrapped on the wheel. A body of mass m is suspended from the free end of the rope. The body is released from rest. The velocity of the body after falling a distance h would be:

Two metal discs, one with radius r and mass m and the other with radius 2r and mass 2m , are welded together and mounted on a frictionless axis through their common center. (a) What is the total moment of inertia of the two discs? (b) A light string is wrapped around the edge of the smaller disc and a block of mass m_(0) is suspended from the free end of the string. If the block is released from rest at a distance h , what is its speed just before it strikes the floor?

A uniform disc of mass M and radius R is supported vertically by a pivot at its periphery as shown. A particle of mass M is fixed to the rim and raised to the highest point above the center. The system is released from rest and it can rotate about pivot freely. The angular speed of the system when the attached object is directly beneath the pivot, is

Two masses m and M are attached to the strings as shown in the figure. If the system is in equilibruim, then

Two masses m and M are attached to the strings as shown in the figure. If the system is in equilibrium, then

The pulley of radius R can rotate freely about its axle as shown in the figure. A thread is tightly wrapped around the pulley and its free end carries a block of mass m . When the block is at a height h above the ground the system is released (i.e., the pulley is made free to rotate & the block is allowed to fall) and at the same instant the axle is moved up keeping it horizontal all the time. When the block hits the floor the axle has gone up by a distance 2h . Find the angle by which the pulley must have rotated by this time.

ALLEN-RACE-Basic Maths (ROTATIONAL MOTION)
  1. Three rods each of mass m and length l are joined together to form an ...

    Text Solution

    |

  2. A thin wire of length l and mass m is bent in the form of a semicircle...

    Text Solution

    |

  3. A disc of mass m and radius r is free to rotate about its centre as sh...

    Text Solution

    |

  4. A particle of mass m is projected with speed u at an angle theta with ...

    Text Solution

    |

  5. A cubical block of mass m and edge a slides down a rough inclned plane...

    Text Solution

    |

  6. The torpue of force vecF=-2hati+2hatj+3hatk acting on a point vecr=hat...

    Text Solution

    |

  7. Moment of a force of megnitude 20 N acting along positive x direction ...

    Text Solution

    |

  8. A disc is rotating with angular velocity omega. A force F acts at a po...

    Text Solution

    |

  9. When a torque acting upon a system is zero, which of the following wil...

    Text Solution

    |

  10. Two men support a uniform rod of mass M and length L at its two ends. ...

    Text Solution

    |

  11. The thin rod shown below has mases M and length L. A force F acts at o...

    Text Solution

    |

  12. Two equal and opposite forces are allplied tangentially to a uniform d...

    Text Solution

    |

  13. A wheel having moment of inertia 4 kg m^(2) about its axis, rotates at...

    Text Solution

    |

  14. For equilibrium of the system, value of mass m should be :-

    Text Solution

    |

  15. Figure shows a rigid rod of length 1.0 m. It is pivoted at O. For what...

    Text Solution

    |

  16. A particle is moving along a straight line parallel to x-axis with con...

    Text Solution

    |

  17. A simple pendulum of mass m and length L is held in horizontal positio...

    Text Solution

    |

  18. A particle is rotating in circle with uniform speed as shown. The angu...

    Text Solution

    |

  19. A particle of mass m is moving with constant speed v on the line y=b i...

    Text Solution

    |

  20. A particle is moving along a straight line with increasing speed. Its ...

    Text Solution

    |