Home
Class 11
PHYSICS
A chain of length l is placed on a smoot...

A chain of length l is placed on a smooth spherical surface of radius R with one of its ends fixed at the top of the sphere. What will be the acceleration w of each element of the chain when its upper end is released? It is assumed that the length of the chain `llt1/2piR`.

Text Solution

Verified by Experts

The correct Answer is:
`[(Rg)/(l)(1-cos.(l)/(R))]`
Promotional Banner

Topper's Solved these Questions

  • NEWTONS LAWS OF MOTION

    PHYSICS GALAXY - ASHISH ARORA|Exercise Advance MCQs|17 Videos

  • LINEAR MOMENTUM & ITS CONSERVATION

    PHYSICS GALAXY - ASHISH ARORA|Exercise exercise 1.3|3 Videos

  • RIGID BODIES AND ROTATIONAL MOTION

    PHYSICS GALAXY - ASHISH ARORA|Exercise Unsolved Numerical|63 Videos

Similar Questions

Explore conceptually related problems

A chain of length l is placed on a smooth spherical surface of radius R with one of its ends fixed at the top of the sphere. What will be the acceleration of the each element of the chain when its upper end is released? It is assumed that the length of the chain l<((piR)/2) .

A chain of length l = pi R//4 is placed. On a smooth hemispherical surface of radius R with one of its ends fixed at the top of the sphere. Mass of chain is sqrt(pi kg) and R = 1m.(g = 10 m//s^(2)) . If the chain sliped down the sphere, kinetic energy of the chain when it has sliped through an angle theta = (pi)/(4) .

A chain of length l = pi R//4 is placed. On a smooth hemispherical surface of radius R with one of its ends fixed at the top of the sphere. Mass of chain is sqrt(pi kg) and R = 1m.(g = 10 m//s^(2)) . The tangential acceleration of the chain when its starts sliding down.

A uniform chain of mass m and length llt(piR)/(2) is placed on a smooth hemisphere of radius R with on of its ends fixed at the top of the sphere. (a) Find the gravitational potential energy of chain assuming base of hemisphere as reference. (b) what will be the tangential acceleraion of the chain when it starts sliding down. (c ) If the chain slides down the sphere, find the kinetic energy of the chain when it has slipped through an angle beta .

A chain of length l = pi R//4 is placed. On a smooth hemispherical surface of radius R with one of its ends fixed at the top of the sphere. Mass of chain is sqrt(pi kg) and R = 1m.(g = 10 m//s^(2)) . The gravitational potential energy of the chain considering reference level at the base of hemisphere is

AS chain of length l and mass m lies o the surface of a smooth sphere of radius Rgtl with one end tied to the top of the sphere. a.Find the gravitational potential energy of the chain with reference level at the centre of the sphere. B. suppose the chin is released and slides down the sphere. Find the kinetic eneergy of the chain, when it has slid through an angle theta c. find the tangential acceleration (dv)/(dt) of the chain when the chain starts sliding down.

A chain of length l and mass m lies of the surface of a smooth hemisphere of radius Rgtl with one end tied to the top of the hemisphere. Taking base of the hemisphere as reference line, find the gravitational potential energy of the chain.

A chain of length L and mass m is placed upon a smooth surface. The length of BA is (L-b) . Calculate the velocity of the chain when its and reaches B

A chain AB of length l is located in a smooth horizontal tube so that its fraction of length h hangs freely and touches the surface of the table with its end B(figure). At a certain moment the end A of the chain is set free. With what velocity will this end of the chain slip out of the tube?

A uniform chain of length l and mass m is placed on a smooth table with one-fourth of its length hanging over the edge. The work that has to be done to pull the whole chain back onto the table is :

PHYSICS GALAXY - ASHISH ARORA-NEWTONS LAWS OF MOTION-Unsolved Numerical Problem
  1. Solve the previous problem if the blocks A and B are of different shap...

    Text Solution

    |

  2. At the moment t=0 the force F=at is applied to a small body of mass m ...

    Text Solution

    |

  3. A chain of length l is placed on a smooth spherical surface of radius ...

    Text Solution

    |

  4. If masses of the blocks A and B shown in figure-2.204 (a) and 2.204(b)...

    Text Solution

    |

  5. In the figure-2.205 shown in blocks A, B and C has masses m(A)= 5 kg, ...

    Text Solution

    |

  6. One end of a string is attached to a 6kg mass on a smooth horizontal t...

    Text Solution

    |

  7. Two blocks of masses m(1) and m(2) kept touching each other on an incl...

    Text Solution

    |

  8. Two block A and B of masses 1kg and2kg respectively are connected by ...

    Text Solution

    |

  9. A worker wishes to pile a cone of sand onto a circular area in his yar...

    Text Solution

    |

  10. A 30 kg mass is initially at rest on floor of a truck . The coefficien...

    Text Solution

    |

  11. At the moment t = 0 a stationary particle of mass m experiences a time...

    Text Solution

    |

  12. An empty tin can of mass M is sliding with speed V(0) across a horizon...

    Text Solution

    |

  13. A crate is pulled along a horizontal surface at constant velocity by a...

    Text Solution

    |

  14. A small body was launched up an inclined plane set at an angle alpha=1...

    Text Solution

    |

  15. A motor-boat of mass m moves along a lake with velocity v(0). At the m...

    Text Solution

    |

  16. Block A in figure-2.207 weights 2.7N and block B weighs 5.4 N the coef...

    Text Solution

    |

  17. A uniform cone of half angle phi stands on a rough inclined plane. Sho...

    Text Solution

    |

  18. A weight of 200kg hangs freely from the end of a rope. The weight is h...

    Text Solution

    |

  19. A block A of weight W slide down an inclined plane S of slope37^(@)at ...

    Text Solution

    |

  20. A small disc A is placed on an inclined plane forming an angle alpha w...

    Text Solution

    |