A thin rod is placed co-axially within a...

A thin rod is placed co-axially within a thin hollow tube which lies on a smooth horizontal table. The rod having the same mass 'M' and length 'L' as that of tube is free to move within the tube. The system is given an angular velocity 'o' about a vertical axis from one of its ends. Considering negligible friction between surfaces, find the angular velocity of the rod as it just slips out of the tube.

`omega/2`

`omega/4`

`omega/3`

`omega`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

QUESTION PAPER 2019
TARGET PUBLICATION|Exercise MCQ|45 Videos
SEMICONDUCTORS
TARGET PUBLICATION|Exercise Evaluation Test|17 Videos

Similar Questions

Explore conceptually related problems

A uniform rod of length L lies on a smooth horizontal table. The rod has a mass M . A particle of mass m moving with speed v strikes the rod perpendicularly at one of the ends of the rod sticks to it after collision. Find the velocity of the centre of mass C and the angular, velocity of the system about the centre of mass after the collision.

A hollow straight tube of length l and mass m can turn freely about its centre (fixed) on a smooth horizontal table. Another smooth uniform rod of same length and mass is fitted into the tube so that their centres coincide. They system is set in motion with an initial angular velocity omega_0 . the angular velocity of the rod at an instant when the rod slips out of the tube is :

A rod AB of length L and mass M is free to move on a frictionless horizontal surface . It is moving with a velocity v , as shown in figure. End B of rod AB strikes the end of the wall. Assuming elastic impact , the angular velocity of the rod AB , just after

A thin uniform copper rod of length l and mass m rotates uniformly with an angular velocity omega in a horizontal plane about a vertical axis passing through one of its ends. Determine the tension in the rod as a function of the distance r from the rotation axis. Find the elongation of the rod.

A uniform rod of mass m and length l rotates in a horizontal plane with an angular velocity omega about a vertical axis passing through one end. The tension in the rod at a distance x from the axis is

A rod of length L is hinged from one end. It is brought to horizontal position and released. The angular velocity of the rod when it is in vertical position. Is

A rod of mass M and length L is falling vertically with speed v . Suddenly its one end gets stuck in a friciitonless hook. Find the angular velocity of the rod just after its end gets struck.

TARGET PUBLICATION-ROTATIONAL MOTION -MCQ

A flywheel at rest is to reach an angular velocity of 24 rad/s in 8...
Text Solution
|
A wheel has angular acceleration of 3.0 rad//s^2 and an initial angula...
Text Solution
|
A wheel of moment of inertia 2 kgm^(2) is rotating about an axis pa...
Text Solution
|
An annular ring with inner and outer radii R1 and R2 is rolling wihtou...
Text Solution
|
A cord is wound round the circumference of wheel of radius r. The axis...
Text Solution
|
A mass 'm' is supported by a massless string wound around a uniform ho...
Text Solution
|
Two solid cylinders P and Q of same mass and same radius start rolling...
Text Solution
|
A body sliding on a smooth inclined plane requires 4s to reach the bot...
Text Solution
|
A hollow spere of mass M and radius R is rotating with angular frequen...
Text Solution
|
An autmobile moves on road with a speed of 54 km//h. The radius of its...
Text Solution
|
A ceiling fan rotates about its own axis with some angular velocity....
Text Solution
|
Two rings are placed with common centres such that their planes are pe...
Text Solution
|
A rigid body can be hinged about any point on the axis. When it is hin...
Text Solution
|
A rotating disc of mass M and radius R is brought to rest on its flat ...
Text Solution
|
Two particles of masses m and M are a distance d apart and constitute ...
Text Solution
|
A solid flywheel of mass M and radius r revolves with an angular veloc...
Text Solution
|
A sphere of mass m rolls without slipping on a plane inclined at theta...
Text Solution
|
A body of mass 3 kg is moving along the line 5y= 12x +39 with a veloci...
Text Solution
|
A thin rod is placed co-axially within a thin hollow tube which lies o...
Text Solution
|
A sphere rolls on the surface with velocity v. It encounters a smooth ...
Text Solution
|