Home
Class 11
PHYSICS
A tim,ber of mas m rests on two rollers,...

A tim,ber of mas m rests on two rollers, each of mass `m/2` and radius r and is pulled along a horizontal plane by a force P. Assuming there is no slipping and treating the rollers as right circular cylinders, find the acceleration of the timber.

Text Solution

Verified by Experts

The correct Answer is:
`(8)/(11)(P)/(m)`
Promotional Banner

Topper's Solved these Questions

  • ROTATIONAL DYNAMICS, MOMENT OF INERTIA

    NN GHOSH|Exercise Exercises|42 Videos
  • MOMENT, TORQUE, EQUILIBRIUM OF BODIES

    NN GHOSH|Exercise Exercises|33 Videos
  • SATURATED AND UNSATURATED VAPOUR

    NN GHOSH|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

A uniform rod of mass m is supported on two rollers each of mass m//2 and radius r and rolls down the inclined rough plane as shown in the figure. Assuming no slipping at any contanct and treating the rollers as uniform solid cylinders: If acceleration of rod down in the plane is a_(R) and acceleration of centre of mass of roller is a_(o) then:

A uniform rod of mass m is supported on two rollers each of mass m//2 and radius r and rolls down the inclined rough plane as shown in the figure. Assuming no slipping at any contanct and treating the rollers as uniform solid cylinders: If the incline is smooth and rod still does not slip on roller, then acceleration of rollers is:

A uniform rod of mass m is supported on two rollers each of mass m//2 and radius r and rolls down the inclined rough plane as shown in the figure. Assuming no slipping at any contanct and treating the rollers as uniform solid cylinders: If the friction force on roller at the contanct point with incline is f_(1) and at the contact point with rod is f_(2) then:

A homogeneous cylinder of mass Mand radius r is pulled on a horizontal plane by a horizontal force F acting through its centre of mass. Assuming rolling without slipping, find the angular acceleration of the cylinder,

A uniform solid cylinder of mass m and radius R is placed on a rough horizontal surface. A horizontal constant force F is applied at the top point P of the cylinder so that it start pure rolling. The acceleration of the cylinder is

A solid cylindrical roller of mass M and radius R is rolled on a rough horizontal surface by applying a horizontal force F at the top most point. The frictional force between the roller and the surface, is

A string is wound around a hollow cylinder fo mass 5 Kg and radius 0.5 m. If the strinag is now pulled with a horizontal force of 40 N, the cylinder is rolling without slipping on a horizontal surface (see figure), then the angular acceleration of the cyclinder will be (Neglect the mass and thickness of the string).

A uniform disc of mass m , radius R is placed on a smooth horizontal surface. If we apply a horizontal force F at P as shown in the figure. If F = 4 N, m= .1 kg, R = 1 m and r = 1/2 m then, find the: acceleration of the CM (in ms^(2) )

A solid sphere of mass M and radius R is pulled by a force F as shown in figure . If the sphere does not slip over the surface , then frictional force acting on the sphere is

In the figure-2.61 a bar of mass m is on the smooth inclined face of the wedge of mass M,the inclination to the horizontal being 0.The wedge is resting on a smooth horizontal plane.Assuming the pulley to be smooth and the string is light and inextensible. Find the acceleration of M,when M and m are always in contact.

NN GHOSH-ROTATIONAL DYNAMICS, MOMENT OF INERTIA-Exercises
  1. The mass of the earth is increasing at the rate 1 part in 5 xx 20^(19)...

    Text Solution

    |

  2. A meter stick of length l and mass M lies on a frictionlesss table. Th...

    Text Solution

    |

  3. A long light thread is wond partly around cylinder of radius r and mas...

    Text Solution

    |

  4. A tim,ber of mas m rests on two rollers, each of mass m/2 and radius r...

    Text Solution

    |

  5. Show that in order to get a billiard ball to roll without sliding from...

    Text Solution

    |

  6. Two masses 500 g and 460g are suspended from the ends of a light strin...

    Text Solution

    |

  7. A solid cylinder of weight 20 kg and radius 7.5 cm is placed on a incl...

    Text Solution

    |

  8. A point A is located on the rim of a wheel of radius R which rolls wit...

    Text Solution

    |

  9. A plank of mass m(1) with a sphere of mass m(2) on it rests on a smoot...

    Text Solution

    |

  10. If in the loop-the-loop track of figure a small spherical ball of mass...

    Text Solution

    |

  11. A uniform rod of length 2a is held at inclination alpha with the horiz...

    Text Solution

    |

  12. An experimentor stands on a stool capable of rotating about a vertical...

    Text Solution

    |

  13. A uniform cylinder of radius R, and mass M rotates freely about a stat...

    Text Solution

    |

  14. A carpet of mass M is rolled along its length so as to from a cylinder...

    Text Solution

    |

  15. A man of mass m stands on the edge of a horizontal unifom disc of mass...

    Text Solution

    |

  16. A uniform solid cylinder of radius R=20cm rolls over a horizontal plan...

    Text Solution

    |

  17. A particle at angular position theta(0) inside a fixed smooth hemisphe...

    Text Solution

    |

  18. Two cylinders with radii r(1) and r(2) and rotational inertia I(1) and...

    Text Solution

    |

  19. Calculate the vertical and horizontal reactions of the pivot when the ...

    Text Solution

    |

  20. A small body A is fixed to the inside of a thin rigid hoop of radius R...

    Text Solution

    |