Home
Class 12
PHYSICS
A sphere of radius R rolls without slipp...

A sphere of radius `R` rolls without slipping between two planks as shown in figure. Find
`(a)` Speed of centre of sphere
`(b)` Angular velocity of the sphere

Text Solution

Verified by Experts

For no slipping at upper plank
`V+R omega=V_(1)`…..`(1)`
For no slipping at bottom plank
`V-Romega=V_(2)`………`(2)`
Solving the two equations
`V=(V_(1)+V_(2))/(2)`
`omega=(V_(1)-V_(2))/(R )`
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    AAKASH INSTITUTE ENGLISH|Exercise Illustration|4 Videos

  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - A) Objective Type Questions (One option is correct)|62 Videos

  • SEMICONDUCTOR ELECTRONICS: MATERIALS, DEVICES AND SIMPLE CIRCUITS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section-D (Assertion and reason))|5 Videos

  • TEST 1

    AAKASH INSTITUTE ENGLISH|Exercise EXERCISE|21 Videos

Similar Questions

Explore conceptually related problems

A cylinder of radius R is to roll without slipping between two planks as shown in the figure. Then

A solid sphere of mass m and radius R is rolling without slipping as shown in figure. Find angular momentum of the sphere about z-axis.

A sphere of mass m and radius r rolls without slipping over a tunnel of width d=(8r)/(5) as shown in the figure. (in the figure the sphere rolls perpendicular to the plane of the page) the velocity of centre of mass of sphere is v directed into the plane of the page. the maximum speed of a point on the sphere is

A solid sphere of (radius = R ) rolls without slipping in a cylindrical vessel (radius = 5R ). Find the time period of small of oscillations of the sphere in s^(-1) . Take R = (1)/(14)m and g = 10 m//s^(2) . (axis is cylinder is fixed and horizontal).

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.

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.

A solid sphere of mass M and radius R is in pure rolling as shown in figure. The angular momentum of the sphere about the origin is (linear velocity of centre of mass is v_0 , in positive x-direction)

A solid sphere of mass m= 500gm is rolling without slipping on a horizontal surface. Find kinetic energy of a sphere if velocity of centre of mass is 5 cm/sec

A sphere of mass M rolls without slipping on rough surface with centre of mass has constant speed v_0 . If its radius is R , then the angular momentum of the sphere about the point of contact is.

the disc of the radius r is confined to roll without slipping at A and B if the plates have the velocities shown, determine the angular velocity of the disc.

AAKASH INSTITUTE ENGLISH-SYSTEM OF PARTICLES AND ROTATIONAL MOTION-Try Yourself
  1. A sphere of radius R rolls without slipping between two planks as show...

    Text Solution

    |

  2. Two bodies of masses 1kg and 3kg are lying in xy plane at (0,0) and (2...

    Text Solution

    |

  3. Three point masses of 1kg, 2kg and 3kg lie at (0,0), (1,2), (3,-1) res...

    Text Solution

    |

  4. Three particles of masses m,m and 4kg are kept at a verticals of trian...

    Text Solution

    |

  5. Three particles having their masses in the ratio 1 : 3 : 5 are kept at...

    Text Solution

    |

  6. Centre of mass of the system lies inside disc or square plate and why ...

    Text Solution

    |

  7. Two particles of equal mass are moving along the same line with the sa...

    Text Solution

    |

  8. Two particles of equal mass are moving along the same straight line wi...

    Text Solution

    |

  9. A shell following a parabolic path explodes somewhere in its flight. T...

    Text Solution

    |

  10. All the particles are situated at a distance R from the origin. The di...

    Text Solution

    |

  11. Will the velocity and acceleration of centre of mass change if particl...

    Text Solution

    |

  12. vecA=(3hati+2hatj-6hatk) and vecB=(hati-2hatj+hatk), find the scalar p...

    Text Solution

    |

  13. vecA=(hati-2hatj+6hatk) and vecB=(hati-2hatj+hatk), find the cross pro...

    Text Solution

    |

  14. Find a unit vector in the direction of vector vecA=(hati-2hatj+hatk)

    Text Solution

    |

  15. Find a vector perpendicular to vector vecA=(hati+2hatj-3hatk) as well ...

    Text Solution

    |

  16. The angular displacement of a particle is 24 rad in 10 seconds. Calcul...

    Text Solution

    |

  17. The angular velocity of a rigid body is 24 rad s^(-1), Calculate the t...

    Text Solution

    |

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

    Text Solution

    |

  19. What is the angular velocity of a particle lying on the axis of rotati...

    Text Solution

    |

  20. What is the angular acceleration of a particle moving with constant an...

    Text Solution

    |

  21. A wheel is rotating with an angular velocity of 3 rad s^(-1). If the a...

    Text Solution

    |