Home
Class 12
PHYSICS
A uniform round object of mass M, radius...

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

`0.34 pm 0.01` cm

B

`0.34pm 0.02` cm

C

`0.34 pm 0.04` cm

D

`0.17 pm 0.01 ` cm

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • UNITS AND MEASUREMENTS

    AAKASH SERIES|Exercise EXERCISE -2|56 Videos
  • UNITS AND MEASUREMENT

    AAKASH SERIES|Exercise PRACTICE EXERCISE|45 Videos
  • WAVE MOTION

    AAKASH SERIES|Exercise PRACTICE SHEET ADVANCED (INTEGER TYPE QUESTIONS)|10 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.

On the surface of a solid cylinder of mass 2 kg and radius 25 cm a string is wound several times and the end of the string is held stationary while the cylinder is released from rest. What is the acceleration of the cylinder and the tension in the string ?

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 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 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 uniform round body of radius R and mass m and its moment of inertia about centre of mass O is I_(cm) is given. A force F is applied at a height h above the centre of the round body. Find the height h at which force should be applied so that it rolls without friction.

A force F is applied at center of a uniform round object of mass m radius R and moment of inertia about its centre of mass I_(cm) . Find (if (I_(cm))/(mR^(2))=k ). (a) Acceleration of center of the round object if it rolls without slipping. (b) Minimum coefficient of fricition required so that the round object rolls without slipping.

A body of mass m , radius R and moment of inertia I (about an axis passing through the centre of mass and perpendicular to plane of motion) is released from rest over a sufficiently rough ground (to provide accelerated pure rolling) find linear acceleration of the body.

A uniform round object of mass m , radius R and moment of inertia about its centre of mas I_(cm) is thrown with speed v . (Without any rotation) on a rough horizontal surface of coefficient of fricition mu . Find (take (I_(cm))/(mR^(2))=k ) (a) Time after which slipping stops (b) Speed of the round object after slipping stops (c ) Angular speed of the round object after slipping stops

AAKASH SERIES-UNITS AND MEASUREMENTS-EXERCISE -3
  1. The value of escape speed from the surface of earth is

    Text Solution

    |

  2. In the measurement of volume of solid sphere using the formula V=(4)/(...

    Text Solution

    |

  3. A uniform round object of mass M, radius R and moment of inertia about...

    Text Solution

    |

  4. Resistance of a given wire is obtained by measuring the current flowin...

    Text Solution

    |

  5. In an experiment the valno of refractive index of glass was found to b...

    Text Solution

    |

  6. A physical quantity is represented by X=M^(a)L^(b)T^(-c).If the percen...

    Text Solution

    |

  7. In a simple pendulum experiment, length is measured as 31.4 cm with an...

    Text Solution

    |

  8. Figure shows two capacitors of capacitance 2muF and 4muF and a cell of...

    Text Solution

    |

  9. In an experiment the valno of refractive index of glass was found to b...

    Text Solution

    |

  10. A rectangular metal slab of mass 33.333 g has its length 8.0 cm, bread...

    Text Solution

    |

  11. The distance covered by a body in time (30.0 pm 0.4)m is (6.0pm 0.6)s....

    Text Solution

    |

  12. The measured mass and volume of a body are 53.63 g and 5.8 cm^(3) resp...

    Text Solution

    |

  13. A student performs an experiment for determination of g = (4pi^(2)l)/(...

    Text Solution

    |

  14. An experiment is performed to obtain the value of acceleration due to ...

    Text Solution

    |

  15. A student measured the diameter of a wire using a screw gauge with lea...

    Text Solution

    |

  16. A physical quantity P is related to four observably a,b,c and d as fol...

    Text Solution

    |

  17. The radius of a sphere is 6.01 cm. Its volume to four significant figu...

    Text Solution

    |

  18. The length of a rod is 22.4 m out of it 2.543m is cut out. The remaini...

    Text Solution

    |

  19. The value of 117.4 xx 0.0025 is

    Text Solution

    |

  20. The sum of the given two numbers with regard to significant figures is...

    Text Solution

    |