Home
Class 11
PHYSICS
A uniform wheel of radius R is set lying...

A uniform wheel of radius R is set lying on a rough horizontal surface is hit by as cue is such a way that the line of action passes thruogh the centre of the shell. As a result the shelll starts movign with a linear speed v without any initial angular velocity. Find the linear speed of the shell after it starts pure rolling on the surface.

Text Solution

Verified by Experts

The correct Answer is:
C
The shell will move a velocity nearly equal to v due to this motion a frictioN/Al force wil act.
In the background direction, for which after some time the shell attains a pure roling.
If we consider moment about A, then it wil be zero.
Therefore Net angular momentum about A before pure rolling.
=net angular moment after pure rolling
`=(2/3)MR^2xx(V_0/R)+(MxV_0xxR)=MVR`
`rarr (5/3)V_0=V`
`rarr V_0=(3V)/5`
Promotional Banner

Topper's Solved these Questions

  • ROTATIONAL MECHANICS

    HC VERMA|Exercise Objective -2|15 Videos

  • REST AND MOTION : KINEMATICS

    HC VERMA|Exercise Exercises|51 Videos

  • SIMPLE HARMONIC MOTION

    HC VERMA|Exercise Exercises|58 Videos

Similar Questions

Explore conceptually related problems

A solid sphere rolling on a rough horizontl surface with a lilner speed v collides elastically with a fixed, smooth, vertical wall. Find the speed of the sphere after it has started pure rolling in the backward direction.

A wheel of radius 20 cm is pushed ot move it on a rough horizontal surface. It is found to move through a distance of 60 cm on the road during the time it completes one revolutionabout the centre. Assume that the linear and the angular accelerations are uniform. The frictional force acting on the wheel by the surface is

A solid sphere is set into motion on a rough horizontal surfce with a linar speed v in the forward direction and an angular speed v/R in the anticlockwise direction as shown infigure . Find the linear speed of the sphere a. where it stops rotating and b. when slipping finally ceases sand pure rolling starts.

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.

The sphere shown in figure lies on a rough plane when a particle of mass m travelling at a speed v_0 collides and sticks with it. If the line of motion of the particle is at a distance h above the plane, find a. the linear speed o the combined system just after the collision b. the angular speed of the system about the centre of the sphere just the collision c. the value of h for which the sphere starts pure rolling on the plane Assume that the mass M of the sphere is large compared to the mass of the particle so that the centre of mass of the combined system is not appreciably shifted from the centre of the sphere.

A sphere of mass M and radius r shown in figure slips on a rough horizontal plane. At some instant it has translational velocity V_(0) and rotational velocity about the centre (v_(0))/(2r) . Find the translational velocity after the sphere starts pure rolling. .

shows a circular wheel of radius 10.0 cm whose upper half, shown dark in the figure, is made of iron and the lower half of wood. The two junctions are joinded by an iron rod. A uniform magnetic field B of magnitdue 2.00X 10^(-4) T exists in the space above the central line as suggested by the figure. The wheel is set into pure rolling on the horizontal surface. The wheel is set into pure rolling on the horizontal surface. If it takes 2.00 seconds for the iron part to come down and the wooden part to go up, find the average emf induced during this period.

Figure shows a mass m placed on a frictionless horizontal table and attached toa string passing through a mall hole in the surface. Initially, themas movesin a circle of radius r_0 with a speed v_0 and the ree end of the string is held by a person. The person pulls on the string slowly to decrease the radius of th circle of r. a. Find the tension in the string when the mass moves in the circle of radius r. b. Calculate the chasnge in the kinetic energy of the mass

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 ?

HC VERMA-ROTATIONAL MECHANICS-Exercises
  1. A metre stick is is held verticaly with one end on a rough horizontal ...

    Text Solution

    |

  2. A metre stick weighing 240 g is pivoted at its upper end in such a way...

    Text Solution

    |

  3. A uniform rod pivoted at its upper end hangs vertically. It is displac...

    Text Solution

    |

  4. A cylinder rolls on a horizontal plane surface. If the speed of the ce...

    Text Solution

    |

  5. A sphere of mass m rolls on a plane surface. Find its kinetic energy a...

    Text Solution

    |

  6. A string is wrapped over the edge a uniform disc and the free end is f...

    Text Solution

    |

  7. A small spherical ball is released from a point at a height h on a rou...

    Text Solution

    |

  8. A small disc is set rolling with a speed v on the horizontal part of t...

    Text Solution

    |

  9. A sphere starts rolling down can incline of inclination theta. Find th...

    Text Solution

    |

  10. A hollow sphere is released from the top of an inlcined plane of incli...

    Text Solution

    |

  11. Consider the situation as shown in the figure. A solid sphere of mass ...

    Text Solution

    |

  12. Figure shows a rough track a portion of which is in the form of a cyli...

    Text Solution

    |

  13. Figure shows a smasll sphereical bal of mass m rolling down the loop t...

    Text Solution

    |

  14. A hollow sphere of radius R lies on a smooth horizontal surface. It is...

    Text Solution

    |

  15. A uniform wheel of radius R is set lying on a rough horizontal surface...

    Text Solution

    |

  16. A uniform wheel of radius R is set lying on a rough horizontal surface...

    Text Solution

    |

  17. is the distance travelled by a body per unit time.

    Text Solution

    |

  18. A solid sphere of mass 0.50 kg is kept on a horizontal surface. The co...

    Text Solution

    |

  19. A solid sphere is set into motion on a rough horizontal surfce with a ...

    Text Solution

    |

  20. A solid sphere rolling on a rough horizontl surface with a lilner spee...

    Text Solution

    |