Home
Class 11
PHYSICS
A cotton reel rolls without sliding such...

A cotton reel rolls without sliding such that the point `P` of the string has velocity `v = 6 ms^(-1)`. If `r = 10 cm` and `R = 20 cm` then find the:

angular velocity of the cotton reel

Text Solution

Verified by Experts

As cotton reel rolls point of contact of reel witground will acts as instantaneous axis of rotation

`v_(P)=w(R+r)`
`implies omega=(v_(p))/(R+r)=20rad//s`
Velocity of centre of reel,
`v_(C)=omegaR=(v_(P)R)/((R+r))=(6xx20)/((20+10))=4m//s`
Promotional Banner

Topper's Solved these Questions

  • RIGID BODY DYNAMICS 2

    CENGAGE PHYSICS|Exercise Exercise 3.4|13 Videos

  • RIGID BODY DYNAMICS 2

    CENGAGE PHYSICS|Exercise Subjective|19 Videos

  • RIGID BODY DYNAMICS 2

    CENGAGE PHYSICS|Exercise Exercise 3.2|13 Videos

  • RIGID BODY DYNAMICS 1

    CENGAGE PHYSICS|Exercise Integer|11 Videos

  • SOUND WAVES AND DOPPLER EFFECT

    CENGAGE PHYSICS|Exercise Integer|16 Videos

Similar Questions

Explore conceptually related problems

A cotton reel rolls without sliding such that the point P of the string has velocity v = 6 ms^(-1) . If r = 10 cm and R = 20 cm then find the: velocity of its centre C

A cotton reel rolls without sliding such that the point P of the string has velocity v = 6 m//s . If r = 10 cm and R = 20 cm then the velocity of its centre C is. .

The angular velocity of circular disc of radius 2cm is 20 rad s^(-1) . Calculate the linear velocity of the disc.

A disc of radius 0.1 m rolls without sliding on a horizontal surface with a velocity of 6 ms^(-1) . It then ascends a smooth continuous track as shown in figure. The height upto which it will ascend is ( g =10 ms^(-2))

A disc of the radius R is confined to roll without slipping at A and B. If the plates have the velocities v and 2v as shown, the angular velocity of the disc is

Block 5 shown in figure moves to the right with a constant velocity of 30 cm/s. Find : (a) The velocity of block A. (b) The velocity of the point P of the string. (c) The velocity of the point M of the string. (d) The relative velocity of the point P of the string with respect to the block A.

A uniform circular disc of mass M and radius R rolls without slipping on a horizontal surface. If the velocity of its centre is v_0 , then the total angular momentum of the disc about a fixed point P at a height (3R)//2 above the centre C .

The rod of length l=1 m rotates with an angular velocity omega=2 rads^(-1) an the point P moves with velocity v=1ms^(-1) and acceleration a=1ms^(-2) . Find the velocity and acceleration of Q .

A uniform ball of radius r rolls without slipping down from the top of a sphere of radius R Find the angular velocity of the ball at the moment it breaks off the sphere. The initial velocity of the ball is negligible.

CENGAGE PHYSICS-RIGID BODY DYNAMICS 2-Exercise 3.3
  1. A sphere moving with a velocity v(0) on a smooth surface suddenly ente...

    Text Solution

    |

  2. A cylinder of mass at and radius R rolls on a stationary plank of mass...

    Text Solution

    |

  3. Calculate the kinetic energy of a tractor crawler belt of mass m if th...

    Text Solution

    |

  4. A constant horizontal force of 10 N is applied at the centre of a whee...

    Text Solution

    |

  5. A uniform solid cylinder of mass m rests on two horizontal planks. A t...

    Text Solution

    |

  6. A load of mass m is attached to the end of a string wound on a cylinde...

    Text Solution

    |

  7. Find the tension in the tape and the linear acceleration of the cylind...

    Text Solution

    |

  8. A spool (consider it as a double disc system joined by a short tube at...

    Text Solution

    |

  9. A solid cylinder wheel of mass M and radius R is pulled by a force F a...

    Text Solution

    |

  10. Find the acceleration of a system consisting of a cylinder of mass m a...

    Text Solution

    |

  11. A uniform solid cylinder of mass m rests on two horizontal planks as s...

    Text Solution

    |

  12. A bullet of mass m moving with a velocity of u just grazes the top of ...

    Text Solution

    |

  13. A small solid marble of mass M and radius r rolls down along the loop ...

    Text Solution

    |

  14. A solid sphere of mass M is placed on the top of a plank of the same m...

    Text Solution

    |

  15. A ball of mass m is released from rest from a height H along a smooth,...

    Text Solution

    |

  16. A sphere of mass m and radius R rolls without sliding on a horizontal ...

    Text Solution

    |

  17. Find the acceleration of the body if a force F=8 N pulls the string at...

    Text Solution

    |

  18. A cotton reel rolls without sliding such that the point P of the strin...

    Text Solution

    |

  19. A cotton reel rolls without sliding such that the point P of the strin...

    Text Solution

    |

  20. A uniform solid sphere rolls down a vertical surface without sliding. ...

    Text Solution

    |