Home
Class 12
PHYSICS
A plank of mass M is moving on a smooth ...

A plank of mass `M` is moving on a smooth horizontal surface with speed `'v_(0)'`. At `t=0` a sphere of mass `'m'` and radius `'r'` is gently placed on it and simultaneously a constant horizontal force `'F'` is applied on the plank in the opposite direction of `v_(0)`. Find the time at which sphere starts rolling on the plank. The coefficient of friction between the plank and the sphere is `mu`.

Text Solution

Verified by Experts

The correct Answer is:
5
Net force is always 2 mg upwards
Promotional Banner

Topper's Solved these Questions

  • REVIEW TEST

    VIBRANT|Exercise PART - II : PHYSICS|262 Videos

  • TEST PAPERS

    VIBRANT|Exercise PART - II : PHYSICS|56 Videos

Similar Questions

Explore conceptually related problems

A plank of mass M rests on a smooth horizontal plane. A sphere of mass m and radius r is placed on the rough upper surface of the plank and the plank is suddenly given a velocity v in the direction of its length. Find the time after which the sphere begins pure rolling, if the coefficient of friction between the plank and the sphere is mu and the plank is sufficiently long.

A ring of mass m having velocity v_(0) is placed on a long plank lies on smooth horizontal surface at time t=0 as shown. Find the time when the ring start pure rolling on the plank. [ mu is coefficient of friction between the ring and the plank.]

A plank of mass m_1 with a uniform sphere of mass m_2 placed on it rests on a smooth horizontal plane. A constant horizontal force F is applied to the plank. With what acceleration will the plank and the centre of the sphere move provided there is no sliding between the plank and the sphere?

A sphere of mass m and radius r is placed on a rough plank of mass M . The system is placed on a smooth horizontal surface. A constant force F is applied on the plank such that the sphere rolls purely on the plank. Find the acceleration of the sphere.

A plank of mass M is placed on a rough horizontal force F is applied on it A man of mass m rens on the plank find the acceleration of the man so that the plank does not move on the surface . The coefficent of friction between the plank and the surface is mu Assume that the man does not slip on the plank

A solid sphere of mass m and radius R is placed over a plank of same mass m . There is sufficient friction between sphere and plank to prevent slipping. A Horizontal force F is applied on the plank. What is the maximum value of F , if mu is coefficient of friction between sphere movment and plank and there is no slipping ?

A horizontal plank having mass m lies on a smooth horizontal surface. A sphere of same mass and radius r is spined to angular frequency omega_(0) and gently placed on the plank as shown in the figure. If coefficient of friction between the plank and the sphere is mu . Find the distance moved by the plank till sphere starts pure rolling on the plank. the plank is long enough.

A long horizontal plank of mass m is lying on a smooth horizontal surface. A sphere of same mass m and radius r is spinned about its own axis with angular velocity we and gently placed on the plank. The coefficient of friction between the plank and the sphere is mu . After some time the pure rolling of the sphere on the plank will start. Answer the following questions. Find the velocity of the sphere after the pure rolling starts

A long horizontal plank of mass m is lying on a smooth horizontal surface. A sphere of same mass m and radius r is spinned about its own axis with angular velocity we and gently placed on the plank. The coefficient of friction between the plank and the sphere is mu . After some time the pure rolling of the sphere on the plank will start. Answer the following questions. Find the displacement of the plank till the sphere starts pure rolling.

VIBRANT-REVIEW TEST-PART - II : PHYSICS
  1. The system shown in the figure is in equilibrium. Masses m(1) & m(2) a...

    Text Solution

    |

  2. A box is failing freely. Inside the box, a particle is projected with ...

    Text Solution

    |

  3. A plank of mass M is moving on a smooth horizontal surface with speed ...

    Text Solution

    |

  4. The spring block system lies on a smooth horizontal surface. The free ...

    Text Solution

    |

  5. A particle moves from rest at A on the surface of a smooth circular cy...

    Text Solution

    |

  6. Initially spring is in natural length and block of mass m is released ...

    Text Solution

    |

  7. A block of mass m tied with a string moves in a vertical plane. A cons...

    Text Solution

    |

  8. On a rough horizontal x-y plane a body starts moving from origin with ...

    Text Solution

    |

  9. A long cylindrical tank of cross-section area 0.5m^(2) is filled with ...

    Text Solution

    |

  10. In the figure shown when the massless spring is in relaxed state, its ...

    Text Solution

    |

  11. A small particle is given an initial velocity v(0)=10 m//s along the t...

    Text Solution

    |

  12. In the arrangement shown in the figure pulleys are small, light and fr...

    Text Solution

    |

  13. A small hoop of mass m is given an initial velocity of magnitude v(0) ...

    Text Solution

    |

  14. The acceleration of a particle moving in straight line is defined by t...

    Text Solution

    |

  15. A particle leaves the origin at t = 0 with an intial velocity vec(V)=3...

    Text Solution

    |

  16. A uniform disc of mass m and radius R is released gentiy on a horizont...

    Text Solution

    |

  17. A person throws a ball in vertical plane such that velocity of ball al...

    Text Solution

    |

  18. A uniform rod of mass M and length L is moving on a smooth horizontal ...

    Text Solution

    |

  19. A long horizontal plank of mass m is lying on a smooth horizontal surf...

    Text Solution

    |

  20. A long horizontal plank of mass m is lying on a smooth horizontal surf...

    Text Solution

    |