Home
Class 12
PHYSICS
If the coefficient of friction between a...

If the coefficient of friction between an insect and bowl is `mu` and the radius of the bowl is r, find the maximum height to which the insect can crawl in the bowl.

Text Solution

AI Generated Solution

To solve the problem of finding the maximum height to which the insect can crawl in a bowl, we can follow these steps: ### Step 1: Understand the Geometry of the Problem - The bowl is a sphere with a radius \( r \). - The insect crawls up the inner surface of the bowl, reaching a height \( h \) from the bottom. - The angle \( \theta \) is formed between the vertical line from the center of the bowl to the insect and the line from the center to the insect's position. ### Step 2: Relate Height and Angle ...
Promotional Banner

Topper's Solved these Questions

  • NEWTONS LAWS OF MOTION

    ALLEN|Exercise EXERCISE-I|52 Videos
  • NEWTONS LAWS OF MOTION

    ALLEN|Exercise EXERCISE-II|112 Videos
  • NEWTONS LAWS OF MOTION

    ALLEN|Exercise EXERCISE-III|28 Videos
  • NEWTON'S LAWS OF MOTION & FRICTION

    ALLEN|Exercise EXERCISE (JA)|4 Videos
  • RACE

    ALLEN|Exercise Basic Maths (Wave Motion & Dopplers Effect) (Stationary waves & doppler effect, beats)|24 Videos

Similar Questions

Explore conceptually related problems

A particle is placed at rest inside a hollow hemisphere of radius R . The coefficient of friction between the particle and the hemisphere is mu = (1)/sqrt(3) . The maximum height up to which the particle can remain stationary is

An insect of mass m is initially at one end of a stick of length L and mass M , which rests on a smooth floor. The coefficientg of friction between the insect and the stick is k. The minimum time in which the insect can reach the other end of the stick is t. Then t^(2) is equal to

If the coefficient of friction between A and B is mu , the maximum acceleration of the wedge A for which B will remain at rest with respect to the wedge is

If the coefficient of friction between A and B is mu , the maximum acceleration of the wedge A for which B will remain at rest with respect to the wedge is

An insect crawls up a hemispherical surface as shown (see the figure) the coefficient offriction between the insect and the surface is 1/3. If the line joining the centre of the hemisperical surface to the insect makes an angle theta with the vertical, the maximum possible value of theta is given by

An insect craws up a hemispherical surface very slowly (see fig.). The coefficient of friction between the insect and the surface is 1//3 . If the line joining the center of the hemispherical surface to the insect makes an angle alpha with the vertical, the maximum possible value of alpha is given by

An insect craws up a hemispherical surface very slowly (see fig.). The coefficient of friction between the insect and the surface is 1//3 . If the line joining the center of the hemispherical surface to the insect makes an angle alpha with the vertical, the maximum possible value of alpha is given by

An insect craws up a hemispherical surface very slowly (see fig.). The coefficient of friction between the insect and the surface is 1//3 . If the line joining the center of the hemispherical surface to the insect makes an angle alpha with the vertical, the maximum possible value of alpha is given by

The coefficient of friction between the board and the floor shown in figure is mu . Find the maximum force that the man can exert on the rope so that the board does not slip on the floor.

A car has to move on a level turn of radius 45 m. If the coefficient of static friction between the tyre and the road is mu_s=2.0, find the maximum speed the car can take without skidding.

ALLEN-NEWTONS LAWS OF MOTION-SWOE
  1. A block of mass 1kg is at rest on a rough horizontal surface having co...

    Text Solution

    |

  2. Assuming the length of a chain to be L and coefficient of static frict...

    Text Solution

    |

  3. If the coefficient of friction between an insect and bowl is mu and th...

    Text Solution

    |

  4. A body of mass M is kept on a rough horizontal surface (friction coeff...

    Text Solution

    |

  5. A block rest on a rough inclined plane as shown in fig. A horizontal f...

    Text Solution

    |

  6. Two blocks of masses m(1)=1 kg and m(2)=2 kg are connected by a string...

    Text Solution

    |

  7. For shown situation draw a graph showing acceleration of A and B on y-...

    Text Solution

    |

  8. A block of mass m rests on a rough horizontl surface as shown in figur...

    Text Solution

    |

  9. A body of mass m rests on a horizontal floor with which it has a coeff...

    Text Solution

    |

  10. A block of 1 kg is stopped against a wall by applying a force F perpen...

    Text Solution

    |

  11. Two block A and B placed on a plane surface as shown in the figure. Th...

    Text Solution

    |

  12. Consider the figure shown here of a moving cart C. if the coefficient ...

    Text Solution

    |

  13. A block of mass kg lies on a horizontal surface in a truck· The coeff...

    Text Solution

    |

  14. Coefficient of friction between two block shown in figure is mu = 0.4....

    Text Solution

    |

  15. A horizontal force of 10 N is necessary to just hold a block stationar...

    Text Solution

    |

  16. Blocks A and B of masses 5 kg and 10kg are placed as shown in figure. ...

    Text Solution

    |

  17. If coeffiecient of friction between the block of mass 2kg and table is...

    Text Solution

    |

  18. If the momenta of two particles of a system are given by vecp(1)=2hati...

    Text Solution

    |

  19. A rocket fired from the earth's surface ejects 1% of its mass at a spe...

    Text Solution

    |

  20. A force 250N is required to lift a 1200N weight through a pulley syste...

    Text Solution

    |