A thin circular ring of mass M and radiu...

A thin circular ring of mass M and radius R is rotating about its axis with a constant angular velocity omega. Four objects each of mass m, are kept gently to the opposite ends of two perpendicular diameters of the ring. What will be the angular velocity of the ring?

`(M omega)/4m`

`((M+4m) omega)/M`

`(M omega)/(M+4m)`

`((M-4m)omega)/(M+4m)`

Text Solution

Verified by Experts

Topper's Solved these Questions

Moment of Inertia
MODERN PUBLICATION|Exercise Example|323 Videos
Gravitational potential and potential energy
MODERN PUBLICATION|Exercise Exercise|17 Videos
Motion of Satellites
MODERN PUBLICATION|Exercise Exercise|25 Videos

Similar Questions

Explore conceptually related problems

A thin circular loop of radius R rotates about its vertical diameter with an angular frequency omega . Show that a small bead on the wire loop rem ains at its lowermost point for omega oversetlarrsqrt(g/R) What is the angle made by the radius vector joining the centre to the bead with the vertical downward direction for omega = sqrt (2g/R) ? neglect friction.

A particle moves in a circle of radius r with constant angular velocity omega . What is the change in velocity when the particle describe an angle of 90^@ ?

A conductor of length 'l' is rotated about one of its ends at a constant angular speed omega in a plane perpendicular to a uniform magnetic field B. plot graphs to show variations of the emf induced across the ends of the conductor with angular speed omega .

A uniform rod a has mass M and length L.Its radius of gyration about an axis through its one end and perpendicuular to its length is :

A circular copper disc 10 cm in radius rotates at 20pi rad/s about an axis through its centre and perpendicular to the disc. A uniform magnetic field of 0.2 T acts perpendicular to the disc. What is the induced current if the resistance of the disc is 2Omega ?

A disc spinning clockwise about its axis with angular velocity omega_0 is set on a rough horizontal plane[Fig.]. What is the force of friction after rolling without slipping starts? .

MODERN PUBLICATION-Moment of Inertia-Example

The speed of a homogeneous solid sphere after rolling down an inclined...
Text Solution
|
A solid sphere and a hollow sphere (both of the same mass and same ext...
Text Solution
|
A thin circular ring of mass M and radius R is rotating about its axis...
Text Solution
|
Two bodies have their moments of inertia I and 2I respectively about t...
Text Solution
|
A round disc of moment of inertia I2, about its axis perpendicular to ...
Text Solution
|
A circular disc of moment of inertia It, is rotating ina horizontal pl...
Text Solution
|
A uniform rod of length I and mass M is free to rotate in a vertical p...
Text Solution
|
Statement 1. Centre of gravity (CG) of a body is the point at which th...
Text Solution
|
write the dimensions of the following physical quantities
Text Solution
|
Establish the relation between torque and angular acceleration.
Text Solution
|
Establish relationship between torque and angular momentum.
Text Solution
|
find the angle between angular momentum and linear momentum
Text Solution
|
Prove that if two particles are moving along parallel directions with ...
Text Solution
|
A ring of mass 0.8 kg and radius 0.1 m makes 5//pi rotations per secon...
Text Solution
|
A thin circular ring of mass M and radius R is rotating about its axis...
Text Solution
|
From a circular disc of radius r and mass 9M a small disc of radius r/...
Text Solution
|
A solid cylinder and a hollow cylinder, both of the same mass and same...
Text Solution
|
Two spheres of masses M and 2 M are initially at rest at a distance R ...
Text Solution
|
Two particles of masses m1 and m2 (m1> m2), initially at rest, move to...
Text Solution
|
Angular momentum is
Text Solution
|