Home
Class 11
PHYSICS
A solid sphere rolls down two different ...

A solid sphere rolls down two different inclined planes of the same heights but different angles of inclination. (a) Will it reach the bottom with the same speed in each case? (b) Will it take longer to roll down one plane than the other? (c) If so, which one and why?

Text Solution

Verified by Experts

(a) Yes, (b) Yes, (c) the plane with smaller inclination (`because a α sin θ`)
Promotional Banner

Topper's Solved these Questions

  • SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

    NCERT GUJARATI|Exercise EXERCISES (TRUE OR FALSE)|5 Videos

  • SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

    NCERT GUJARATI|Exercise EXERCISES (TRUE OR FALSE)|5 Videos

  • PHYSICAL WORLD

    NCERT GUJARATI|Exercise EXERCISES|8 Videos

  • THERMAL PROPERTIME OF MATTER

    NCERT GUJARATI|Exercise EXERCISES|31 Videos

Similar Questions

Explore conceptually related problems

A solid cylinder of mass M and radius R rolls down an inclined plane of height h. The angular velocity of the cylinder when it reaches the bottom of the plane will be :

A solid sphere rolls without slipping on an inclined plane of angle theta . Find its linear acceleration in the direction parallel to the surface of the inclined plane.

A solid cylinder is rolling down the inclined plane without slipping. Which of the following is correct?

A disc and a sphere of same radius but different masses roll off on two inclined planes of the same attitude and length. Which one of the two objects gets of the bottom of the plane first?

A solid cylinder is rolling down the inclined plane without slipping. On which factor does the velocity of a cylinder at the bottom of an inclined plane depend?

A solid cylinder is rolling down on an inclined plane of angle theta . The minimum value of the coefficient of friction between the plane and the cylinder to allow pure rolling

A solid cylinder rolls up an inclined plane of angle of inclination 30° . At the bottom of the inclined plane the centre of mass of the cylinder has a speed of 5 m/s. (a) How far will the cylinder go up the plane? (b) How long will it take to return to the bottom?

A body is released from the top of a smooth inclined plane of inclination theta . It reaches the bottom with velocity v . If the angle of inclina-tion is doubled for the same length of the plane, what will be the velocity of the body on reach ing the ground .

A rectangular box lies on a rough inclined surface. The coefficient of friction between the surface and the box is mu . Let the mass of the box be m. (a) At what angle of inclination 0 of the plane to the horizontal will the box just start to slide down the plane ? (b) What is the force acting on the box down the plane, if the angle of inclination of the plane is increased to a gt theta (c) What is the force needed to be applied upwards along the plane to make the box either remain stationary or just move up with uniform speed ? (d) What is the force needed to be applied upwards along the plane to make the box move up the plane with acceleration a ?

A drum of radius R and mass M, rolls down without slipping along an inclined plane of angle theta , The frictional force ………….

NCERT GUJARATI-SYSTEMS OF PARTICLES AND ROTATIONAL MOTION-EXERCISES
  1. (a) A child stands at the centre of a turntable with his two arms outs...

    Text Solution

    |

  2. A rope of negligible mass is wound round a hollow cylinder of mass 3 k...

    Text Solution

    |

  3. To maintain a rotor at a uniform angular speed of 200 rad s-1, an engi...

    Text Solution

    |

  4. From a uniform disk of radius R, a circular hole of radius R/2 is cut ...

    Text Solution

    |

  5. A metre stick is balanced on a knife edge at its centre. When two coin...

    Text Solution

    |

  6. A solid sphere rolls down two different inclined planes of the same he...

    Text Solution

    |

  7. A hoop of radius 2 m weighs 100 kg. It rolls along a horizontal floor ...

    Text Solution

    |

  8. The oxygen molecule has a mass of 5.30 × 10^(-26) kg and a moment of i...

    Text Solution

    |

  9. A solid cylinder rolls up an inclined plane of angle of inclination 30...

    Text Solution

    |

  10. As shown in Fig.7.40, the two sides of a step ladder BA and CA are 1.6...

    Text Solution

    |

  11. A man stands on a rotating platform, with his arms stretched horizonta...

    Text Solution

    |

  12. A bullet of mass 10 g and speed 500 m/s is fired into a door and gets ...

    Text Solution

    |

  13. Two discs of moments of inertia I(1) and I(2) about their respective a...

    Text Solution

    |

  14. (a) Prove the theorem of perpendicular axes. (b) Prove the theorem o...

    Text Solution

    |

  15. Prove the result that the velocity v of translation of a rolling body ...

    Text Solution

    |

  16. A disc rotating about its axis with angular speed ω(o) is placed light...

    Text Solution

    |

  17. Explain why friction is necessary to make the disc in Fig. 7.41 roll i...

    Text Solution

    |

  18. A solid disc and a ring, both of radius 10 cm are placed on a horizont...

    Text Solution

    |

  19. A cylinder of mass 10 kg and radius 15 cm is rolling perfectly on a pl...

    Text Solution

    |

  20. Separation of Motion of a system of particles into motion of the centr...

    Text Solution

    |