Three particles are connected by mas...

Three particles are connected by mass less rods lying along the y - axis . If the system rotates about the x - axis with an angular speed of 2 rad/s the M.I of the system is :-

`46 " kg - m"^(2)`

`92 " kg - m"^(2)`

`184 " kg "m^(2)`

`276 " kg "m^(2)`

Text Solution

Verified by Experts

The correct Answer is:

`I=m_(1)y_(1)^(2)+m_(2)y_(2)^(2)+m_(3)y_(3)^(2)`

Topper's Solved these Questions

SYSTEM OF PARTICLES AND ROTATIONAL MOTION
NARAYNA|Exercise EXERCISE - III|43 Videos
SYSTEM OF PARTICLES
NARAYNA|Exercise Level-VI|78 Videos
THERMAL PROPERTIES OF MATTER
NARAYNA|Exercise LEVEL - II (H.W.)|19 Videos

Similar Questions

Explore conceptually related problems

Three particles are connected by light, right rods lying along the y-axis. If the system rotates about the x-axis with an angular speed of 2 rad/s, the M.I. of the system is

Three particles are situated on a light and rigid rod placed along Y-axis. If the system rotates about X-axis, the M.I. of the system is :

A system consists of two masses connected by a massless rod lies along x-axis. The distance of centre of mass from O is

Four particles of mass m are connected by massless rods to form a rectangle-of sides 2a and 2b as shown. The assembly, rotates about an axis in the plane of the figure through the centre. Find the moment of inertia about the axis:,

A body of mass 2 kg and radius of gyration 0.5 m is rotating about an axis. If its angular speed is 2 rad/s, then the angular momentum of the body will be

A solid cylinder of moment of inertia 0.625 kgm^(2) , rotates about its axis with an angular speed of 200 rad/s. What is the magnitude of angular momentum of the cylinder about its axis ?

A homogeneous disc of mass 2 kg and radius 15 cm is rotating about its axis with an angular velocity of 4 rad/s. the linear momentum of the disc is

Four masses m, 2 m, 3 m and 4 m are connected by a rod of negligible mass. The moment of inertia of the system about the axis AB is

An solid cylinder of mass 20 kg and radius 20 cm rotates about its axis with a angular speed 100 rad s^-1 . The angular momentum of the cylinder about its axis is.

NARAYNA-SYSTEM OF PARTICLES AND ROTATIONAL MOTION -EXERCISE - IV

A particle of mass m describes a circle of radius r . The centripetal ...
Text Solution
|
A particle moves in a circular path of radius R with an angular veloci...
Text Solution
|
A chain couples and rotates two wheels in a bicycle . The radii ...
Text Solution
|
Five particles of mass 2 kg are attached to the rim of a circular disc...
Text Solution
|
Four masses are fixed on a mass less rod as shown in Fig . The momen...
Text Solution
|
A rigid body can be hinged about any point on the x-axis. When it is h...
Text Solution
|
Four similar point masses ( each of mass m ) are placed on ...
Text Solution
|
Three particles are connected by mass less rods lying along the...
Text Solution
|
The diagram showm a uniform of mass M & radius 'a' . If the mome...
Text Solution
|
Five uniform circular plates , each of diameter D and mass m ar...
Text Solution
|
Form a circular disc of radius R and mass 9M , a small disc of mas...
Text Solution
|
A ring mass 'm' and radius 'R' has three particles attached to...
Text Solution
|
Two wheels are connected by a belt. The radius of larger wheel...
Text Solution
|
A bob of mass m attached to an inextensible string of length I is susp...
Text Solution
|
At time t = 0 a 2 kg paticle has position vector vec (r ) =...
Text Solution
|
A uniform rod of length L is free to rotate in a vertical plane...
Text Solution
|
Three sol I d spheres are made to move on a rough horizontal ...
Text Solution
|
A solid sphere rolls without slipping and presses a spring of spring c...
Text Solution
|
A string is wrapped around the rim of wheel of moment of inertia 0...
Text Solution
|
The grinding stone of a flour mill is rotating at 600 rad/sec. for thi...
Text Solution
|