Home
Class 12
PHYSICS
A block A of mass 5 sqrt( 4) m rests on ...

A block A of mass `5 sqrt( 4) m` rests on a rough horizontal plane relative to which its coefficient of friction is `mu A` light string attached to this block passes over a light frictionless pulley and another block B of mass m hangs from it. It is observed that the block A just slips when the string makes an angle of `60^(@)` with the horizontal .
Find the coefficient of static friction between the block A and the plane. If the same force acting through the sting is applied to the block A in the horizontal direction, find the acceleration of the block A.

Text Solution

Verified by Experts

The correct Answer is:
`(1)/( 9 sqrt( 3)) , ( 4)/( 45sqrt(3)) g `
Promotional Banner

Topper's Solved these Questions

  • KINEMATICS

    FIITJEE|Exercise SECTION(II) : MCQ ( SINGLE CORRECT)|47 Videos
  • KINEMATICS

    FIITJEE|Exercise MCQ (MULTIPLE CORRECT)|15 Videos
  • KINEMATICS

    FIITJEE|Exercise SECTION(I): MCQ (SINGLE CORRECT)|120 Videos
  • HEAT AND TEMPERATURE

    FIITJEE|Exercise NUMERICAL BASES QUESTIONS|1 Videos
  • LAWS OF MOTION

    FIITJEE|Exercise COMPREHENSION-III|2 Videos

Similar Questions

Explore conceptually related problems

A block of mass m_(1) rests on a rough horizontal plane with which its coefficient of friction is mu . A light string attached to this block passes over a light frictionless pulley and carries another block of mass m_(2) as shown in figure-2.213. When the system is just about to move, find the value of mu in terms of m_(1) m_(2) and alpha . Also find the tension in the string.

A block rests on a rough inclined plane making an angle of 30^@ with the horizontal. The coefficient of static friction between the block and the plane is 0.8. If the frictional force on the block is 10N, the mass of the block (in kg) is

A block of mass 2kg rests on a rough inclined plane making an angle of 30^@ with the horizontal. The coefficient of static friction between the block and the plane is 0.7. The frictional force on the block is

A block rests on a rough inclined plane making an angle of 30° with the horizontal. The coefficient of static friction between the block and inclined plane is 0.8. If the frictional force on the block is 10 N, the mass of the block is

A block of mass m slides down an inclined plane which makes an angle theta with the horizontal. The coefficient of friction between the block and the plane is mu . The force exerted by the block on the plane is

A block of mass m is placed at rest on an inclination theta to the horizontal.If the coefficient of friction between the block and the plane is mu , then the total force the inclined plane exerts on the block is

A block of mass m is placed on a rough plane inclined at an angle theta with the horizontal. The coefficient of friction between the block and inclined plane is mu . If theta lt tan^(-1) (mu) , then net contact force exerted by the plane on the block is :

A block of mass 4kg rests on a rough horizontal plane. The plane is gradually inclined until at an angle theta=60^(@) , with the vertical, the mass just begins to side. What is the coefficient of static friction between the block and the plane?

A block of mass m_(1) rests on a horizontal table. A string tied to the block is passed on a frictionless pulley fixed at the end of the table and to the other end of string is hung another block of mass m_(2) . The acceleration of the system is

FIITJEE-KINEMATICS-SECTION (II) : (SUBJECTIVE )
  1. A ball is thrown from the origin in the x-y plane with velocity 28.28m...

    Text Solution

    |

  2. A block A of mass 5 sqrt( 4) m rests on a rough horizontal plane relat...

    Text Solution

    |

  3. A rigid uniform rod of mass M and length L is placed along the Y-axis ...

    Text Solution

    |

  4. A wedge of mass m and triangular cross- section (AB = BC = CA = 2R) is...

    Text Solution

    |

  5. A uniform sphere of mass 20kg and radius 10cm is placed on a rough hor...

    Text Solution

    |

  6. Three particles A, B and C each of mass m, are connected to each other...

    Text Solution

    |

  7. A small block starts sliding down an inclined plane subtending an angl...

    Text Solution

    |

  8. A missile is launched at an angle of 60^(@) to the vertical with a vel...

    Text Solution

    |

  9. A man moving with a velocity of 5m//s on a horizontal road observes th...

    Text Solution

    |

  10. In the adjoining figure velocities and acceleration of the blocks 1 an...

    Text Solution

    |

  11. A ball of mass 0.01 kg is suspended from a fixed point O by means of a...

    Text Solution

    |

  12. A constant horizontal force (F) is applied at the vertex A of an equil...

    Text Solution

    |

  13. (a) In the adjoining figure find the normal force exerted by the incli...

    Text Solution

    |

  14. A particle starts its motion from the origin in positive x-direction....

    Text Solution

    |

  15. A uniform circular disc has radius R and mass m. A particle, also of m...

    Text Solution

    |

  16. A big block of mass M is placed on a horizontal surface. Two cubes eac...

    Text Solution

    |

  17. Two blocks of masses m(1) = 2kg and m(2) = 4kg are attached to two end...

    Text Solution

    |

  18. (a) A ball, suspended by a thread, swings in a vertical plane so that ...

    Text Solution

    |

  19. A steamer plies between two stations A and B on opposite banks of a ri...

    Text Solution

    |

  20. A train starting from rest is moving along a straight track with a con...

    Text Solution

    |