Home
Class 11
PHYSICS
A particle is placed inside a hemispheri...

A particle is placed inside a hemispherical bowl which rotates about its vertical axis with constant angular speed `omega`. It is just prevented from sliding down when the line joining it to the centre of the hemisphere is `45^(@)` with the vertical. The radius of the bowl is `10 sqrt(2)`m. The coefficient of friction between the particle and the bowl is 0.5 and `g = 10 ms^(-2)`. Find the magnitude of `omega`.

Text Solution

Verified by Experts

The correct Answer is:
`1//sqrt(3)`
Promotional Banner

Topper's Solved these Questions

  • CENTRIPITAL AND CENTRIFUGAL FORCES

    NN GHOSH|Exercise Exercises (A)|18 Videos

  • CALORIMETRY

    NN GHOSH|Exercise All Questions|28 Videos

  • COMPOSITION AND RESOLUTION OF VELOCITIES

    NN GHOSH|Exercise Exercise|25 Videos

Similar Questions

Explore conceptually related problems

A metallic hemisphere is having dust on its surface. The sphere is rotated about a vertical axis passing through its centre at angular speed omega = 10 "rad" s^( –1) . Now the dust is visible only on top 20% area of the curved hemispherical surface. Radius of the hemisphere is R = 0.1 m. Find the coefficient of friction between the dust particle and the hemisphere [ g = 10 ms^(–2) ].

a hemispherical bowl is made of steel 0.5 cm thick. The inside radius of the bowl is 4 cm. Find the volume of steel used in making the bowl.

A hemispherical bowl is made of steel, 0.5 cm thick. The inside radius of the bowl is 4 cm. Find the volume of steel used in making the bowl.

A hemispherical bowl is made of steel 0.5cm thick.The inside radius of the bowl is 4cm. find volume of steel

The radius of a hemispherical bowl is 6 cm. The capacity of the bowl is (Take pi = (22)/(7) )

A particle of mass m rotates in a circle of radius a with uniform angular speed omega_(0) . It is viewed from a frame rotating about the z-axis with a uniform angualr speed omega . The centrifugal force on the particle is

A hemisphericla bowl of rdius R is rotated about its axis of symetry which is kept vertical.A small block is kept in the bowl at a position where the radius makes an angle theta with the vertical. The block rottes with the bowl without any sliping. The friction coefficient between the block and teh bowl surface is mu . Find the range of the angular speed for which the block will not slip.

The coefficient of friction between a hemispherical bowl and an insect is sqrt(0.44) and the radius of the bowl is 0.6m . The maximum height to which an insect can crawl in the bowl will be .

A hemispherical bowl is made of steel, 0.25 cm thick. The inner radius of the bowl is 5 cm. Find the outer curved surface area of the bowl.

NN GHOSH-CENTRIPITAL AND CENTRIFUGAL FORCES-Exercises (B)
  1. In problem 15 if a motor-cyclist passes over the bridge at 18 ms^(-1),...

    Text Solution

    |

  2. Calculate the ratio of the reaction of a convex bridge at the highest ...

    Text Solution

    |

  3. A heavy particle of mass 2kg is tied to two strings, each of length 25...

    Text Solution

    |

  4. A body is suspended by a string of length 1 m and is projected horizon...

    Text Solution

    |

  5. A mass of 0.675 kg on a frictionless table is attached to a string whi...

    Text Solution

    |

  6. A particle is placed inside a hemispherical bowl which rotates about i...

    Text Solution

    |

  7. A rigid rod of length l but of negligible mass has heavy mass m attach...

    Text Solution

    |

  8. Suppose that the string of a simple pendulum is elastic and k is its f...

    Text Solution

    |

  9. A rod of length l rotates with uniform velocity omega about an axis pe...

    Text Solution

    |

  10. A small body is placed on the top of a smooth sphere of radius R. Then...

    Text Solution

    |

  11. A particle mass m begins to slide down a fixed smooth sphere from the ...

    Text Solution

    |

  12. A particle of mass m is suspended by a string of length l from a fixed...

    Text Solution

    |

  13. A man stands on a running train (speed 60 kmph) with his feet 60 m apa...

    Text Solution

    |

  14. A stone is thrown horizontally with a velocity of 10m//sec. Find the r...

    Text Solution

    |

  15. A body is weighed on a spring balance in the wagon of a train travelli...

    Text Solution

    |

  16. Two particles A and B move anticlockwise with the same speed v in a ci...

    Text Solution

    |

  17. A conical pendulum consisting of rigid rod of length l and mass m rota...

    Text Solution

    |

  18. A ring of mass m and radius R is being rotated about its axis with con...

    Text Solution

    |

  19. Water flows along a horizontal pipe with a curve having a radius of R=...

    Text Solution

    |

  20. A rough horizontal plate rotates with a constant angular velocity w ab...

    Text Solution

    |