Home
Class 11
PHYSICS
Adjoining diagram has three disc, inwhci...

Adjoining diagram has three disc, inwhcih each has mass M and radius R. Find the moment of inertia of this system about axis xx'.

Text Solution

Verified by Experts

Moment of inertia of the system
`I_("system")=2xxI_("upper")+I_("inner")`
`=2xx5/4MR^(2)+(MR^(2))/4`
`=5/2MR^(2)+(MR^(2))/4`
`=11/4MR^(2)`
Promotional Banner

Topper's Solved these Questions

  • MOTION OF SYSTEM OF PARTICLES AND BODIES

    PREMIERS PUBLISHERS|Exercise OTHER IMPORTANT QUESTIONS & ANSWER (CONCEPTUAL QUESTIONS)|38 Videos
  • LAW OF MOTION

    PREMIERS PUBLISHERS|Exercise OTHER IMPORTANT QUESTIONS & ANSWERS (VI Numerical Problems)|62 Videos
  • NATURE OF PHYSICAL WORLD AND MEASUREMENT

    PREMIERS PUBLISHERS|Exercise OTHER IMPORTANT QUESTIONS & ANSWERS (III. Short Answer Questions.)|24 Videos

Similar Questions

Explore conceptually related problems

A light rod of length has two masses m_1 and m_2 attached to its two ends.The moment of inertia of the system about an axis perpendicular to the rod and passing through the centre of mass is

Two identical spheres each of mass 1.20 kg and radius 10.0 cm are fixed at the ends of a light rod so that the separation between the centers is 50.0 cm. Find the moment of inertia of the system about an axis perpendicular to the rod passing through its middle point.

Three particles, each of mass 200 g are kept at the corners of an equilateral triangle of side 10 cm. Find the moment of inertia of the system about an axis joining two of the particles.

A uniform rod of mass m and lengh I makes a constant angle theta with an axis of rotation which passes through one end of therod. Find the moment of inertia about this axis.

Three mass points m_(1)m_(2) amd m_(3) are located at the vertices of an equilateral triangle of length a. What is the moment of inertia of the system about an axis along the altitude of the triangle passing through m_(1) ?

Three particles, each of mass m are situated at the vertices of an equilateral triangle ABC of side L as shown in the figure. Find the moment of inertia of the system about the line AX perpendicular to AB in the plane of ABC

PREMIERS PUBLISHERS-MOTION OF SYSTEM OF PARTICLES AND BODIES-OTHER IMPORTANT QUESTIONS & ANSWER (NUMERICAL PROBLEMS)
  1. Calculate moment of inertia with respect to rotational axis xx' in fol...

    Text Solution

    |

  2. Four bodies of masses 5 kg, 2 kg, 3k kg and 4 kg are respectively plac...

    Text Solution

    |

  3. Adjoining diagram has three disc, inwhcih each has mass M and radius R...

    Text Solution

    |

  4. Two rings have their moemnts of inertia in the ratio of 4:1 and their...

    Text Solution

    |

  5. The power out put of an automobile engine is advertised to be 200 ap a...

    Text Solution

    |

  6. In the following figure radii r1 and r2 are 10 cm and 20 cm respective...

    Text Solution

    |

  7. Find the torque of a corce 7hati-3hatj-5hatk about the origin which a...

    Text Solution

    |

  8. A wheel of mass 8 kg and radius of gyration 25 cm is rotating at 300 r...

    Text Solution

    |

  9. Calculate the moment of inertia of the earth about its diameter taking...

    Text Solution

    |

  10. A body of mass 50 g is revolvig about an axis in a circular path. The ...

    Text Solution

    |

  11. A thin metal hoop of radius 0.25 m and mass 2 kg starts from test and ...

    Text Solution

    |

  12. A torque of 2.0xx10^(-4)Nm is applied to produce an angular accelerati...

    Text Solution

    |

  13. The maximum and minimum distances of a comet from the sun are 1.4xx10^...

    Text Solution

    |

  14. A rod of length L and mass M is hinged at point O. A small bullet of m...

    Text Solution

    |

  15. A bal tied to a sting takes 4 s to complete revolution along a horizon...

    Text Solution

    |

  16. If angular momentum is conserved in a system whose moment of inertia ...

    Text Solution

    |

  17. A star of mass twice the solar mass and radius 10^(6) km rotates about...

    Text Solution

    |

  18. A particle performing uniform circular motion has angular momentum L. ...

    Text Solution

    |

  19. A solid cylinder of mass 20 kg rotates about its axis with angular spe...

    Text Solution

    |

  20. A solid cylinder of mass 20 kg rotates about its axis with angular spe...

    Text Solution

    |