Two identical unifrom rods OA and OB eac...

Two identical unifrom rods `OA` and `OB` each of length `l` and mass `m` are connected to each other by a massless pin connection (both the rods can rotate about `O` which is free to move), that allows free rotation. The assembly is kept on a frictionless horizontal plane. Now two point masses each of mass `m` moving with speed `u` perpendicular to the `AB` and hit the assembly inelastically at points `A` and `B` as shown in the figure.

The speed of the centre of mass of the whole assembly just after the collision will be

`u//4`

`u//2`

`u`

none of these

Text Solution

Verified by Experts

Topper's Solved these Questions

LAWS OF MOTION
FIITJEE|Exercise Example|12 Videos
SIMPLE HARMONIC MOTION
FIITJEE|Exercise Example|15 Videos

Similar Questions

Explore conceptually related problems

Two identical unifrom rods OA and OB each of length l and mass m are connected to each other by a massless pin connection (both the rods can rotate about O which is free to move), that allows free rotation. The assembly is kept on a frictionless horizontal plane. Now two point masses each of mass m moving with speed u perpendicular to the AB and hit the assembly inelastically at points A and B as shown in the figure. Find the angular speed of rods just after the 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 uniform rod of mass m and length l can rotate freely on a smooth horizontal plane about a vertical axis hinged at point H. A point mass having same mass m coming with an initial speed u perpendicular to the rod, strikes the rod in-elastically at its free end. Find out the angular velocity of the rod just after collision?

Two identical rods each of mass m and length are connected as shown. Locate c.m.

Two uniform thin rods each of length L and mass m are joined as shown in the figure. Find the distance of centre of mass the system from point O

A rod of mass M and length L is kept on a frictionless horizontal floor. A particle of mass m moving perpendicular to the rod with a speed v strikes at the end of the rod and sticks there. Calculate angular velocity acquired by the combined system.

AB and CD are two identical rods each of length l and mass m joined to form a cross. The moment of inertia of these two rods about a bisector (xy) of the angle between the rods is:

FIITJEE-ROTATIONAL MECHANICS-Example

In the figure shown, a solid sphere of mass 'm' and radius r is releas...
Text Solution
|
A cube of side a and mass M is pivoted on a horizontal axis such that ...
Text Solution
|
A spool of thread of mass m and moment of inertia I is attached to the...
Text Solution
|
A sphere of radius R is projected with a reverse spin omega(0) down a ...
Text Solution
|
A plank of mass M is moving on a smooth horizontal surface with speed ...
Text Solution
|
A solid sphere is rolling on a rough surface, whose centre of mass is ...
Text Solution
|
When a body rolls without sliding up an inclined plane the frictional ...
Text Solution
|
A particle m starts with zero velocity along a line y=4d. The position...
Text Solution
|
A sphere of radius R and mass M collides elastically with a cubical bl...
Text Solution
|
A body of mass m and radius r is released from rest along a smooth inc...
Text Solution
|
Ler l be the moment of inertia of a uniform square plate about an axi...
Text Solution
|
When a car negotiates a curve, the normal force exerted on the inner a...
Text Solution
|
A massless string is wrapped around a hollow cylinder having mass m an...
Text Solution
|
A cubical box of side length L rests on a rough horizontal surface hav...
Text Solution
|
Two identical unifrom rods OA and OB each of length l and mass m are c...
Text Solution
|
Two identical unifrom rods OA and OB each of length l and mass m are c...
Text Solution
|
Two identical unifrom rods OA and OB each of length l and mass m are c...
Text Solution
|