A thin circular ring of mass $M$ and radius $r$ is rotating about its axis with a constant angular velocity $\omega $ . Two objects each of mass $m$ are attached gently to the opposite ends of a diameter of the ring. The ring will now rotate with an angular velocity
A thin circular ring of mass $M$ and radius $r$ is rotating about its axis with a constant angular velocity $\omega $ . Two objects each of mass $m$ are attached gently to the opposite ends of a diameter of the ring. The ring will now rotate with an angular velocity
- A
$\frac{{\omega \left( {M - 2m} \right)}}{{M + 2m}}$
- B
$\frac{{\omega M}}{{M + 2m}}$
- C
$\frac{{\omega M}}{{M + m}}$
- D
$\frac{{\omega \left( {M + 2m} \right)}}{M}$
Similar Questions
A rigid body rotates about a fixed axis with variable angular velocity equal to $(\alpha \,-\,\beta t)$ at time $t,$ where $\alpha $ and $\beta $ are constants. The angle through which it rotates before it comes to rest is
A rigid body rotates about a fixed axis with variable angular velocity equal to $(\alpha \,-\,\beta t)$ at time $t,$ where $\alpha $ and $\beta $ are constants. The angle through which it rotates before it comes to rest is
Two particles which are initially at rest, move towards each other under the action of their internal attraction. If their speeds are $v$ and $2v$ at any instant, then the speed of centre of mass of the system will be
Two particles which are initially at rest, move towards each other under the action of their internal attraction. If their speeds are $v$ and $2v$ at any instant, then the speed of centre of mass of the system will be
In the above problem the angular velocity of the system after the particle sticks to it will be ....... $rad/s$
In the above problem the angular velocity of the system after the particle sticks to it will be ....... $rad/s$
$A$ non uniform rod $OA$ of linear mass density $\lambda = \lambda_0x$ $(\lambda_0 =$ const.) is suspended from ceiling with hinge joint $O$ & light string as shown in figure. Find the angular acceleration of rod just after the string is cut.
$A$ non uniform rod $OA$ of linear mass density $\lambda = \lambda_0x$ $(\lambda_0 =$ const.) is suspended from ceiling with hinge joint $O$ & light string as shown in figure. Find the angular acceleration of rod just after the string is cut.
One circular ring and one ciruclar disc, both are having the same mass and radius. the ratio of their moments of inertia about the axis passing through their centres and perpendicular to their planes, will be
One circular ring and one ciruclar disc, both are having the same mass and radius. the ratio of their moments of inertia about the axis passing through their centres and perpendicular to their planes, will be