Home
Class 11
PHYSICS
A rod is kept inclined at an angle theta...

A rod is kept inclined at an angle `theta` with the horizontal A sleeve of mass m can slide on the rod. If the coefficient of friction between the rod and the sleeve is `mu`, for what values of horizontal acceleration a of the rod, towards left, the sleeve will not slide over the rod?

Text Solution

Verified by Experts

The correct Answer is:
`g = (g("sin"theta - mu "cos"theta))/(("cos"theta + mu"sin"theta)) le a le (g("sin"theta + mu"cos"theta))/(("cos"theta - mu"sin"theta))`
Promotional Banner

Topper's Solved these Questions

  • MOMENTUM AND CENTRE OF MASS

    ARIHANT|Exercise Momentum And Center of Mass|117 Videos
  • ROTATIONAL MOTION

    ARIHANT|Exercise PHYSICS|159 Videos

Similar Questions

Explore conceptually related problems

A conductor (rod) of mass m, length l carrying a current i is subjected to a magnetic field of induction B. If the coefficients of friction between the conducting rod and rail is mu, find the value of I if the rod starts sliding.

A rod of mass M and length L lies on an incline having inclination of theta = 37^(@) . The coefficient of friction between the rod and the incline surface is mu = 0.90 . Find the tension at the mid point of the rod.

Two hemispheres of radii R and r(lt R) are fixed on a horizontal table touching each other (see figure). A uniform rod rests on to spheres as shown. The coefficient of friction between the rod and two spherers is mu . Then the maximum value of the ratio (r)/(R) for which the rod will not slide is :

A uniform rod is held at an angle of 45^@ to the horizontal and released from rest as shown. The minimum coefficient of friction between plane and rod required so that the rod does not slip on the plane upon releases, will be

A uniform rod is made to lean between a rough vertical wall and the ground. The coefficient of friction between the rod and the ground is mu_(1) and between the rod and the wall is mu_(2) . Find the angle at which the rod can he leaned without slipping.

A wheel is mounted on frictionless central pivot and it can rotate freely in the vertical plane. There is a horizontal light rod fixed to the wheel below the pivot. There is a small sleeve of mass m which can slide along the rod without friction. The sleeve is connected to a light spring. The other end of the spring is fixed to the rim as shown. The sleeve is at the centre of the rod and the spring is relaxed. Now the wheel is held at rest and the sleeve is moved towards left so as to compress the sprig by some distance. The sleeve and the wheel are released simultaneously from this position. (a) Is it possible that the wheel does not rotate as the sleeve perform SHM on the rod ? (b) Find the value of spring constant k for situation described in (a) to be possible. The distance of rod from centre of the wheel is d .

A small collar of mass m = 100 g slides over the surface of a horizontal circular rod of radius R = 0.3 m. The coefficient of friction between the rod and the collar is mu = 0.8 . Find the angle made with vertical by the force applied by the rod on the collar when speed of the collar is V = 2 m/s.

ARIHANT-NEWTONS LAWS OF MOTION-All Questions
  1. A block is placed on an incline having inclination theta . There is a ...

    Text Solution

    |

  2. A wedge of mass m is placed on a horizontal smooth table. A block of m...

    Text Solution

    |

  3. A rod is kept inclined at an angle theta with the horizontal A sleeve ...

    Text Solution

    |

  4. In the arrangement shown in figure, a block A of mass m has been place...

    Text Solution

    |

  5. A smooth rod is fixed at an angle alpha to the horizontal. A small rin...

    Text Solution

    |

  6. In the system shown in figure all surfaces are smooth and string and p...

    Text Solution

    |

  7. In the system shown in figure, the two springs S(1) "and" S(2) have fo...

    Text Solution

    |

  8. A block of mass m = 1 kg is kept pressed against a spring on a rough h...

    Text Solution

    |

  9. An experimenter is inside a uniformly accelerated train. Train is movi...

    Text Solution

    |

  10. Two hemispheres of radii R and r(lt R) are fixed on a horizontal table...

    Text Solution

    |

  11. In order to lift a heavy block A, an engineer has designed a wedge sys...

    Text Solution

    |

  12. A 60 kg platform has been placed on a rough incline having inclination...

    Text Solution

    |

  13. In the system show in figure, mass of the block placed on horizontal s...

    Text Solution

    |

  14. In the arrangement shown in the figure, block A of mass 8 kg rests on ...

    Text Solution

    |

  15. In the arrangement shown in figure, pulley and string are light. Frict...

    Text Solution

    |

  16. In the arrangement shown in figure pulley P can move whereas other two...

    Text Solution

    |

  17. A rope of length ((pi)/(2) + 1) R has been placed on a smooth spher...

    Text Solution

    |

  18. A uniform rope has been placed on a sloping surface as shown in the fi...

    Text Solution

    |

  19. A uniform rope ABCDE has mass M and it is laid along two incline surfa...

    Text Solution

    |

  20. (i) Four small blocks are interconnected with light strings and placed...

    Text Solution

    |