Home
Class 12
PHYSICS
A string is wrapped several times round ...

A string is wrapped several times round a solid cylinder. Then free end of the string is held stationary. If the cylinder is released to move down, then the acceleration of that cylinder is

A

`g//3`

B

`g//2`

C

`3g//2`

D

`2g//3`

Text Solution

Verified by Experts

The correct Answer is:
D

`a = (g sin theta)/(1+K^(2)//R^(2))=(g xx 1)/(1+(1)/(2))=(2g)/(3)`.
Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER - MH-CET 2018

    NIKITA PUBLICATION|Exercise MCQ|50 Videos
  • SEMICONDUCTORS

    NIKITA PUBLICATION|Exercise MCQS|350 Videos

Similar Questions

Explore conceptually related problems

A disc of mass M has a light, thin string wrapped several times around its circumference. The free end of string is attaced to the ceiling and the disc is released from rest. Find the acceleration of the disc and the tension in the string.

A uniform round object of mass M , radius R and moment of inertia about its centre of mass I_(cm) has a light, thin string wrapped several times around its circumference. The free end of string is attaced to the celling and the object is released from rest. Find the acceleration of centre of the object and tension n the string. [ Take (I_(cm))/(MR^(2))=k ]

A solid cylinder has a thin string wrapped several times around its circumference. The string is fixed at one end and the cylinder is released. Find the downward acceleration of cylinder and tension in the string.

A string of negligible thicknes is wrapped several times around a cylinder kept on a rough horizontal surface. A man standing at a distance l from the cylinder holds one end of the sitting an pulls the cylinder towards him figure. There is no slipping anywhere. The length of the string passed through the hand of the man whicle the cylinder reaches his hands is

A string is wrapped over the edge a uniform disc and the free end is fixed with the ceiling. The disc moves down, unwinding the string. Find the downward acceleration of the disc.

Fig shown three identical cylinders, cylinders are released, find relation between acceleration of cylinders.

In the figure shown, a string is wound over a cylinder A. The other end of the string is attached to block B through a pulley. When the system is released the cylinder rolls down without slipping. The ratio of the magnitude of vertical component of displacement of A and B in any time interval t

A primitive yo-yo is made by wrapping a string several times around a solid cylinder with mass M and radius R shown in figure-5.56. The end of the string stationary while releasing the cylinder with no initial motion. The string unwinds but does not slip or Stretch as the cylinder drops and rotates. Use energy considerations to find the speedv ofthe centre ofmass ofthe solid cylinder after it has dropped a distance h.

A uniform cylider of mass M and radius R has a string wrapped around it. The string is held fixed and the cylinder falls vertically, as in figure. (a). Show that the acceleration of the cylinder is downward with magnitude a=(2g)/(3) (b). Find the tension in the string.

A uniform solid cylinder of mass m and radius 2R rests on a horizontal table. A string attached to it passes over a pulley (disc) of mass m and radius R that is mounted on a fricitonaless axle through its centre . A block of mass m is suspended from the free end of the spring . The string does not slip over the pulley surface and the cylinder rolls without slipping on the table. Angular acceleration of the cylinder is

NIKITA PUBLICATION-ROTATIONAL MOTION -MULTIPLE CHOICE QUESTIONS
  1. A circular ring starts rolling down on an inclined plane from its top....

    Text Solution

    |

  2. A hollow cylinder and a solid cylinder having the same mass and diamet...

    Text Solution

    |

  3. A string is wrapped several times round a solid cylinder. Then free en...

    Text Solution

    |

  4. An inclined plane makes an angle 30° with the horizontal. A solid sphe...

    Text Solution

    |

  5. A uniform ring rolls on a horizontal surface with out slipping. Its ce...

    Text Solution

    |

  6. Two loops P and Q are made from a uniform wire. The redii of P and Q a...

    Text Solution

    |

  7. A ring of mass 10 kg and diameter 0.4m is rotated about an axis passin...

    Text Solution

    |

  8. The moment of inertia of a thin square plate ABCD of uniform thickness...

    Text Solution

    |

  9. Four rings each of mass M and radius R are arranged as shown in the fi...

    Text Solution

    |

  10. Moment of inertia of a ring of mass m = 3 gm and radius r = 1 cm about...

    Text Solution

    |

  11. A cylinder of 500 g and radius 10 cm has moment of inertia about an ax...

    Text Solution

    |

  12. Three point masses m(1), m(2) and m(3) are located at the vertices of ...

    Text Solution

    |

  13. Three point masses each of mass m are placed at the corners of an equi...

    Text Solution

    |

  14. Three rods each of length L and mass M are placed along X, Y and Z axi...

    Text Solution

    |

  15. Two rings of same radius and mass are placed such that their centres a...

    Text Solution

    |

  16. Two circular iron discs are of the same thickness. The diameter of A i...

    Text Solution

    |

  17. the flywheel is so constructed that the entire mass of it is concentra...

    Text Solution

    |

  18. Four spheres of diameter 2a and mass M are placed with their centres o...

    Text Solution

    |

  19. Two discs have same mass and thickness. Their materials are of densiti...

    Text Solution

    |

  20. A wheel has moment of inertia 5 xx 10^(-3) kg m^(2) and is making 20 "...

    Text Solution

    |