Home
Class 11
PHYSICS
Three point masses m(1) =4 kg, m2 = 3 kg...

Three point masses `m_(1) =4 kg, m_2 = 3` kg and `m_3 = 2` kg,are placed along a straight line along the y-axis as shown in Fig. What is the moment of inertia pf:the system about the x - axis ?

Text Solution

Verified by Experts

`I = mr^(2), I= 4 xx 4^(2) + 3 xx (-2)^(2) + (-4)^(2) -92 kg m^(2)`.
Promotional Banner

Topper's Solved these Questions

  • CIRCULAR MOTION

    ICSE|Exercise MODULE 2 (FROM ANGULAR MOMENTUM - CONSERVATION)|14 Videos

  • CIRCULAR MOTION

    ICSE|Exercise MODULE 2 (FROM ROTATIONAL KINETIC ENERGY , WORK ,POWER)|24 Videos

  • CIRCULAR MOTION

    ICSE|Exercise MODULE 2 (FROM CENTRE OF MASS)|8 Videos

  • COMPETITION CARE UNIT

    ICSE|Exercise OBJECTIVE QUESTIONS FROM PREVIOUS IAS EXAMINATIONS |50 Videos

Similar Questions

Explore conceptually related problems

Three point masses are arranged as shown in the figure. Moment of inertia of the system about the axis OO' is

Three point masses m_(1), m_(2) and m_(3) are located at the vertices of an equilateral triangle of side alpha . What is the moment of inertia of the system about an axis along the altitude of the triangle passing through m_(1)?

Three point masses m_(1), m_(2) and m_(3) are located at the vertices of an equilateral triangle of side alpha . What is the moment of inertia of the system about an axis along the altitude of the triangle passing through m_(1)?

Four point masses 1 kg, 1 kg, 2 kg and 2 kg are placed at the corners of a square of side a m as shown in Fig. Find the centre of mass of the system.

Two heavy particles having masses m_(1) and m_(2) are situated in a plane perendicular to line AB at a distance or r_(1) and r_(2) respectively. a. What is the moment of inertia of the system about axis AB ? b. What is the moment of inertia of the system about an axis passing through m_(1) and perpendicular to the line joining m_(1) and m_(2) ? c. What is the moment of inertia of the system about an axis passing through m_(1) and m_(2) ?

Three balls of masses 1 kg, 2 kg and 3 kg are arranged at the corners of an equilateral triangle of side 1 m . What will be the moment of inertia of the system and perpendicular to the plane of the triangle.

Three point masses m_(1) = 2Kg, m_(2) = 4kg and m_(3)= 6kg are kept at the three corners of an equilateral triangle of side 1 m. Find the locationo of their center of mass.

Three thin rods each of length Land mass M are placed along x, y and z-axes such that one end of each rod is at origin. The moment of inertia of this system about z-axis is

A disc of mass m and radius R is attached to a rectangular plate of the same mass m, breadth R and length 2R as shown in figure. The moment of inertia of the system about the axis AB passing through the centre of the disc and along the plane is I = 1/(alpha) (31/3 m R^2) .

If m_1 =10kg, m_2 = 4kg and m_3 = 2kg the tension in the string connecting m_1 and m_2 is,

ICSE-CIRCULAR MOTION -MODULE 2 (FROM MOMENT OF INERTIA, TORQUE)
  1. Three point masses m(1) =4 kg, m2 = 3 kg and m3 = 2 kg,are placed alon...

    Text Solution

    |

  2. Three masses of 2 kg, 3 kg and 4 kg are located at the three vertices ...

    Text Solution

    |

  3. Three identical rings of masses m each and radius r are kept in contac...

    Text Solution

    |

  4. Four spheres A, B, C, D, each of mass m and diameter 2 a are placed wi...

    Text Solution

    |

  5. The mass of a unifprm rod is 0.4 kg and its length is 2 m. .Calculate ...

    Text Solution

    |

  6. Calculate the moment of inertia of a.unifprm disc of mass 0.4 kg and r...

    Text Solution

    |

  7. Calculate the moment of inertia of a cylinder of length 2 m, radius 5 ...

    Text Solution

    |

  8. Calculate the percentage increase in the moment of inertia about the a...

    Text Solution

    |

  9. Find ratio of radius of gyration of a disk and ring of same radii at t...

    Text Solution

    |

  10. When a constant torque is applied to a flywheel at rest it angular vel...

    Text Solution

    |

  11. Fig. shows a uniform disc of mass 1 kg and radius 0.2 m mounted on an ...

    Text Solution

    |

  12. A uniform disc of mass of 0.50 kg and radius 0.20 m lies on one side i...

    Text Solution

    |

  13. A uniform disc of moment of inertia 1 kg m^2 rotates with a speed of 1...

    Text Solution

    |

  14. The power of a motor is 15 HP and its maximum angular speed is 150 rad...

    Text Solution

    |

  15. A constant torque of 20 Nm is exerted bri a pivoted wheel for 10 secon...

    Text Solution

    |

  16. A wheel of grindstone has applied at its axle 2 cm in radius a constan...

    Text Solution

    |

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

    Text Solution

    |

  18. What is the torque acting on the bob of mass m of a simple pendulum Of...

    Text Solution

    |

  19. A torque of 10 Nm is applied to a flywheel of mass 10 kg and radius of...

    Text Solution

    |

  20. A flywheel of radiiis 10 cm mounted so as to rotate about a horizontal...

    Text Solution

    |