A rod of negligble mass and length l is ...

A rod of negligble mass and length l is pioveted at its centre. A particle of mass m is fixed to its left end and another particle of mass 2 m is fixed to the right end. If the system is released from rest and after sometime becomes vericle, The speed v of the two mases and angular velocity at that instant are

`sqrt(gl//3),sqrt(4g//3l`

`sqrt(4gl//3),sqrt(4g//3l)`

`sqrt(4gl//3),sqrt(4gl//3)`

`sqrt(gl//3),sqrt(gl//3)`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

ROTATIONAL MOTION
DC PANDEY|Exercise More than one option is correct|36 Videos
ROTATIONAL MOTION
DC PANDEY|Exercise Comprehension Type Questions|41 Videos
ROTATIONAL MOTION
DC PANDEY|Exercise Integer Type Questions|17 Videos
ROTATIONAL MECHANICS
DC PANDEY|Exercise Subjective Questions|2 Videos
SEMICONDUCTORS AND ELECTRONIC DEVICES
DC PANDEY|Exercise More than One Option is Correct|3 Videos

Similar Questions

Explore conceptually related problems

A particle of mass m moving with velocity v strikes a stationary particle of mass 2 m and sticks to it. The speed of the system will be.

A particle of mass 2m moving with velocity v strikes a stationary particle of mass 3m and sticks to it. The speed of the system will be

A particle of mass 2m moving with velocity v strikes a stationary particle of mass 3m and sticks to it . The speed of the system will be

A uniform rod of mass m and length l is suspended about its end. Time period of small angular oscillations is

A particle of mass m moving with speed V collides eleastically with another particle of mass 2mFind speed of smaller mass after head on collision

A uniform disc of mass M and radius R is supported vertically by a pivot at its periphery as shown. A particle of mass M is fixed to the rim and raised to the highest point above the center. The system is released from rest and it can rotate about pivot freely. The angular speed of the system when the attached object is directly beneath the pivot, is

A uniform rod of mass M and length a lies on a smooth horizontal plane. A particle of mass m moving at a speed v perpendicular to the length of the rod strikes it at a distance a/4 from the centre and stops after the collision. Find a. the velocity of the cente of the rod and b. the angular velocity of the rod abut its centre just after the collision.

A rod of mass 2kg and length 1m is pivoted at one end A and kept on a smooth surface. A particle of mass 500gm strikes the other end B of the rod and sticks to the rod. If particle was moving with the speed of 20m//s , what is the angular speed of the rod after collision ?

A uniform rod of mass M and length L lies on a frictionless horizontal plane. A particle of same mass M moving with speed v_(0) perpendicular to the length of the rod strikes the end of the rod and sticks to it. Find the velocity of the center of mass and the angular velocity about the center of mass of (rod + particle) system.

A rigid rod of mass m & length l is pivoted at one of its ends. If it is released from its horizontal position, find the speed of the centre of mass of the rod when it becomes vertical.

DC PANDEY-ROTATIONAL MOTION-A Only One Option is Correct

A sphere of mass m is given some angular velocity about a horizontal a...
Text Solution
|
When a perosn throws a meter stivk it is found that the centre of the ...
Text Solution
|
A rod of negligble mass and length l is pioveted at its centre. A part...
Text Solution
|
A point mass m collides with a disc of mass m and radius R resting on ...
Text Solution
|
A system of identical cylinders and plates is shown in Fig. All the cy...
Text Solution
|
A box of dimensions l and b is kept on a truck moving with an accelera...
Text Solution
|
Inner and outer radii of a spool are r And R respectively. A thread is...
Text Solution
|
A disc of radius R is rolling purely on a flat horizontal surface, wit...
Text Solution
|
A uniform solid cylinder of mass 5kg and radius 0.1m is resting on a h...
Text Solution
|
A rod lying on a frictionless horizontal surface is initially given an...
Text Solution
|
Consider the situation shown in the figure. Uniform rod of length L ca...
Text Solution
|
A homogeneous rod of mass 3 kg is pushed along the smooth horizontal s...
Text Solution
|
A disc of mass M and radius R is placed on a rough horizontald surface...
Text Solution
|
A uniform rod of mass m , length l moving with a velocity v ( perpendi...
Text Solution
|
An ideal inextensible string is wrapped over the disc of mass m and ra...
Text Solution
|
A uniform rod AB of mass m and length L rotates about a fixed vertical...
Text Solution
|
The wheel of radius R rolls wihtout slipping on horizontal rough surfa...
Text Solution
|
A string is warapped around a cylinder of mass m and radius r. The str...
Text Solution
|
A small uniform solid sphere A rolls down a fixed surface starting at ...
Text Solution
|
A small disc is released from rest at A on an inclined plane AB so th...
Text Solution
|