Home
Class 11
PHYSICS
A metre stick is is held verticaly with ...

A metre stick is is held verticaly with one end on a rough horizontal floor. It is gently alowed to fal on the floor. Assuming that the end ast the floor does not slip find the angular speed of the rod when it hits the floor.

Text Solution

Verified by Experts

The correct Answer is:
A, D
Let the mass of rod Therefore applying laws of conservastion of energy
`1/2Iomega^2=mgl/2`
`rarr 1/2xxml^2/3xxomega^2=mgl/2`
`rarr omega^2=(3g)/2`
`rarr omega=(sqrt(3g)/l)`
`=sqrt(3xx9.8/1)`
`=5.42rad/s`
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 uniform chain of mass M and length L is held verticallyi in such a way that its lower end just touches the horizontal floor. The chain is released from rest in this position. Any portion that strikes the floor comes to rest. Assuming that the chain does not form a heap on the floor, calculate the force exerted by it on the floor when a length x has reached the floor.

A block of mass m is kept on a horizontal ruler . The friction coefficient between the ruler and the block is mu . The ruler is fixed at one end the block is at a distance L from the fixed end . The ruler is rotated about the fixed end in the horizontal plane through the fixed end a. What can the maximum angular speed be for which the block does not slip? b. If the angular speed of the ruler is uniform increase from zero at an angular acceleration a at angular speed will the block slip?

A small spherical ball is released from a point at a height h on a rough track shown in figure. Assuming that it does not slip anywhere, find its linear speed when it rolls on the horizontal part of the track.

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.

A uniform ladder of mass 10 kg leans against a smooth vertical wall making an angle of 53^0 with it. The other end rests on a rough horizontal floor. Find the normal force and the frictional force that the floor exerts on the ladder

A block of mass m slips on a rough horizontal table under the action of horiozontal force applied to it. The coefficient of friction between the block and the table is mu . The table does not move on the floor. Find the total frictional force aplied by the floor on the legs of the table. Do you need the friction coefficient between the table and the floor or the mass of the table ?

Figure shows a small block of mass m which is started with a speed v on the horizontal part of the bigger block of mas m placed on a horizontal floor. The curved part of the surface shown is semicircular. All the surfaces are frictionless. Find the speed of the bigger block when the smaller block reaches the point A of the surface.

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 uniform rod of mass m and length l is struck at an end by a force F perpendicular to the rod for a short time interval t. Calculate a. the speed of the centre of mass ,b. the angular speed of the rod about centre of mass, c. the kinetic energy of the rod and d. the angular moment of the rod about the centre of mass after the force has stopped to act. Assume that t is so small that the rod does not apreciably change its direction while the force acts.

HC VERMA-ROTATIONAL MECHANICS-Exercises
  1. Two blocks of masses 400 g and 200 g are connected through a light str...

    Text Solution

    |

  2. The pulley shown in figure has a radius of 20 cm and moment of inertia...

    Text Solution

    |

  3. A metre stick is is held verticaly with one end on a rough horizontal ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |