Home
Class 11
PHYSICS
A disc rotating about its axis with angu...

A disc rotating about its axis with angular speed `ω_(o)` is placed lightly (without any translational push) on a perfectly frictionless table. The radius of the disc is R. What are the linear velocities of the points A, B and C on the disc shown in Fig. 7.41? Will the disc roll in the direction indicated ?

Text Solution

Verified by Experts

Velocity of `A = ω_(o)R` in the same direction as the arrow, velocity of `B = ω_(o)R` in the opposite direction to the arrow, velocity of `C = ω_(o)R//2` in the same direction as the arrow. The disc will not roll on a frictionless plane.
Promotional Banner

Topper's Solved these Questions

  • SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

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

  • SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

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

  • PROPERTIES OF MATTER

    NCERT TAMIL|Exercise EVALUATION (MULTIPLE CHOICE QUESTIONS)|14 Videos

  • THERMAL PROPERTIME OF MATTER

    NCERT TAMIL|Exercise EXERCISES|31 Videos

Similar Questions

Explore conceptually related problems

A disc of radius 10 cm is rotating about its axis at an angular speed of 20 rad/s. Find the linear speed of a. a point on the rim, b. the middle point of the radius.

A thin horizontal circular disc is rotating about a vertical axis passing through its centre. An insect is at rest at a point near the rim of the disc. The insect now moves along the diameter of the disc to reach its other end. During the journey of the insect. The angular speed of the disc:

A disc of moment of inertia la is rotating in a horizontal plane about its symmetry axis with constant angular speed co. Another discinitially at rest of moment of inertia I, is dropped coaxially on to the rotating disc. Then, both the discs rotate with same constant angular speed The loss of kinetic energy due to friction in this process is,

The magnetic field B shown in is directed into the plane of the paper. ACDA is a semicircular conducting loop of radius r with the centre at O. The loop is now made ot rotate clockwise with a constant angular velocity omega about on axis passing through O and perpendicular to the plane of the paper. The resistance of the loop is R. Obtain an expression for the magnitude of the induced current in the loop. Plot a graph between the induced current i and omegat , for two periods of rotation.

shows a conducting disc rotating about its axis in a perpendicular magnetic field B. A resistor of resistance R is connected between the centre and the rim. Calculate the current in the resistor. Does it enter the disc or leave it at the centre? The radius of hte disc is 5.0 cm , angular speed omega = 10 rad/s, B = 0.40 T and R = 10 Omega .

A circular disc made of iron is rotated about its axis at a constant velocity Omega. Calculate the percentage change in the linear speed of a particle of the rim as the disc is slowly heated from 20^@C to 50^@C keeping the angular velocity constant. Coefficient of linear expansion of iron =1.2 xx 10^(-5)C^(-1) .

Two small balls A and B each of mass m, are joined rigidly to the ends of a light rod of length L figure. The system translates on a frictionless horizontal surface with a velocity v_0 in a direction perpendicular to the rod. A particle P of mass kept at rest on the surface sticks to the ball A as the ball collides with it . Find a. the linear speeds of the balls A and B after the collision, b. the velocity of the centre of mass C of the system A+B+P and c. the angular speed of the system about C after the collision.

NCERT TAMIL-SYSTEMS OF PARTICLES AND ROTATIONAL MOTION-EXERCISES
  1. A child stands at the centre of a turn table with his two arms outstre...

    Text Solution

    |

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

    Text Solution

    |

  3. To maintain a rotor at a uniform angular speed of 100 rads^(-1) an eng...

    Text Solution

    |

  4. From a uniform disc of radius R, a circular section of radius R//2 is ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. A hoop of radius 2m, weight 100 kg. It rolls along horizontal floor so...

    Text Solution

    |

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

    Text Solution

    |

  9. A sphere rolls up an inclined plane whose inclination is 30^(@). At th...

    Text Solution

    |

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

    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. (Hint : Square of the d...

    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. (i) Explain why friction is necessary to make the disc to roll in the ...

    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

    |