Home
Class 12
PHYSICS
A ship moves with velocity v=36km per ho...

A ship moves with velocity `v=36km` per hour along an arc of a circle of radius `R=200m`. Find the moment of the gyroscopic forces exerted on the bearings by the shaft with a flywheel whose moment of inertia relative to the rotation axis equals `I=3.8*10^3 kg*m^2` and whose rotation velocity `n=300rpm`. The rotation axis is oriented along the length of the ship.

Text Solution

Verified by Experts

The revolutions per minute of the flywheel being n, the angular momentum of the flywheel is `lxx2pin`. The rate of precession is `v/R`
Thus `N=2piINV//R=5*97kN.m`.
Promotional Banner

Topper's Solved these Questions

  • PHYSICAL FUNDAMENTALS OF MECHANICS

    IE IRODOV, LA SENA & SS KROTOV|Exercise Elastic Deformation Of Asolid Body|25 Videos

  • PHYSICAL FUNDAMENTALS OF MECHANICS

    IE IRODOV, LA SENA & SS KROTOV|Exercise Hydrodynamics|25 Videos

  • PHYSICAL FUNDAMENTALS OF MECHANICS

    IE IRODOV, LA SENA & SS KROTOV|Exercise Universal Gravitation|34 Videos

  • OSCILLATIONS AND WAVES

    IE IRODOV, LA SENA & SS KROTOV|Exercise Electromagnetic Waves, Radiation|36 Videos

  • THERMODYNAMICS AND MOLECULAR PHYSICS

    IE IRODOV, LA SENA & SS KROTOV|Exercise Transport Phenomena|38 Videos

Similar Questions

Explore conceptually related problems

A body of moment of inertia about its axis of rotation is 3 kg m^(2) and angular velocity 3 rad/s. The kinetic energy of rotating body is same as that of body of mass 27 kg moving with a speed of

Disk 1 rotates about a smooth vertical axis with the angular velocity omega_(1) . Disk 2 rotating with the angular velocity omega_(2) is kept on disk 1 while rotating in the same direction. Find the change in the rotational kinetic energy of the system given that the moments of inertia of the disks relative to the rotation axis are equal to I_(1)andI_(2) , respectively. The constant surface of the disks are rough.

A locomotive is propelled by a turbine whose axle is parallel to the axes of wheels. The turbine's rotation direction coincides with that of wheels. The moment of inertia of the turbine rotor relative to its own axis is equal to I=240kg*m^2 . Find the additional force exerted by the gyroscopic forces on the rails when the locomotive moves along a circle of radius R=250m with velocity v=50km per hour. The gauge is equal to l=1.5m . The angular velocity of the turbine equals n=1500rpm .

A stationary platform P which can rotate freely about a vertical axis (figure) supports a motor M and a balance weight N. The moment of inertia of the platform with the motor and the balance weight relative to this axis is equal to I. A light frame is fixed to the motor's shaft with a uniform sphere A rotating freely with an angular velocity omega_0 about a shaft BB^' coinciding with the axis OO^' . The moment of inertia of the sphere relative to the rotation axis is equal to I_0 . Find (a) the work performed by the motor in turning the shaft BB^' through 90^@ , through 180^@ , (b) the moment of external forces which maintains the axis of the arrangement in the vertical position after the motor turns the shaft BB^' through 90^@ .

Calculate the angular momentum of a body whose rotational energy is 10 joule. If the angular momentum vector coincides with the axis of rotation and its moment of inertia about this axis is 8xx10^(-7) kg m^(2)

A flywheel of moment of inertia 5.0kg-m^(2) is rotated at a speed of 10rad//s because of the friction at the axis it comes to rest in 10s. Find the average torque of the friction.

A cockroach is moving with velocity v in anticlockwise direction on the rim of a disc of radius R of mass m . The moment of inertia of the disc about the axis is I and it is rotating in clockwise direction with an angular velocity omega . If the cockroach stops, the angular velocity of the disc will be

A bicycle wheel of radius 0.3 m has a rim of mass 1.0 kg and 50 spokes, each of mass 0.01 kg. What is its moment of inertia about its axis of rotation ?

A particle moves along a circle of radius R =1m so that its radius vector vecr relative to a point on its circumference rotates with the constant angular velocity omega=2rad//s . The linear speed of the particle is

IE IRODOV, LA SENA & SS KROTOV-PHYSICAL FUNDAMENTALS OF MECHANICS-Dynamics Of A Solid Body
  1. A conical pendulum, a thin uniform rod of length l and mass m, rotates...

    Text Solution

    |

  2. A uniform cube with edge a rests on a horizontal plane whose friction ...

    Text Solution

    |

  3. A smooth uniform rod AB of mass M and length l rotates freely with an ...

    Text Solution

    |

  4. A uniform rod of mass m=5.0kg and length l=90cm rests on a smooth hori...

    Text Solution

    |

  5. A thin uniform square plate with side l and mass M can rotate freely a...

    Text Solution

    |

  6. A vertically oriented uniform rod of mass M and length l can rotate ab...

    Text Solution

    |

  7. A horizontally oriented uniform disc of mass M and radius R rotates fr...

    Text Solution

    |

  8. A man of mass m1 stands on the edge of a horizontal uniform disc of ma...

    Text Solution

    |

  9. Two horizontal discs rotate freely about a vertical axis passing throu...

    Text Solution

    |

  10. A small disc and a thin uniform rod of length l, whose mass is eta tim...

    Text Solution

    |

  11. A stationary platform P which can rotate freely about a vertical axis ...

    Text Solution

    |

  12. A horizontally oriented uniform rod AB of mass m=1.40kg and length l0=...

    Text Solution

    |

  13. The middle of a uniform rod of mass m and length l is rigidly fixed to...

    Text Solution

    |

  14. A top of mass m=0.50kg, whose axis is tilted by an angle theta=30^@ to...

    Text Solution

    |

  15. A gyroscope, a uniform disc of radius R=5.0cm at the end of a rod of l...

    Text Solution

    |

  16. A top of mass m=1.0kg and moment of inertia relative to its own axis I...

    Text Solution

    |

  17. A uniform sphere of mass m=5.0kg and radius R=6.0cm rotates with an an...

    Text Solution

    |

  18. A cylindrical disc of a gyroscope of mass m=15kg and radius r=5.0cm sp...

    Text Solution

    |

  19. A ship moves with velocity v=36km per hour along an arc of a circle of...

    Text Solution

    |

  20. A locomotive is propelled by a turbine whose axle is parallel to the a...

    Text Solution

    |