Class 11PhysicsSystem of Particles and Rotational MotionConservation of angular momentum (combined translation and rotational motion)
EasyAn object of mass $m$ is tied to a thin string,which is passed through a hollow tube. The tube is held in one hand and the string in the other. The object is rotated in a circle of radius $R$ with a velocity $v$. If the string is pulled downwards to decrease the radius,which of the following quantities remains conserved?
- AAngular momentum
- BLinear momentum
- CKinetic energy
- DNone of the above
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$A$ boy is standing at the center of a turntable holding two blocks in his hands. The rotational kinetic energy of the system about the axis passing through the center is $K$. When the boy extends his arms,the moment of inertia of the system about the axis of rotation doubles. What will be the new rotational kinetic energy of the system?
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View Solution$A$ thin circular ring of mass $M$ and radius $r$ is rotating about its axis with an angular speed $\omega$. Two particles each of mass $m$ are now attached at diametrically opposite points. The angular speed of the ring will become
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View SolutionKeeping the mass of the Earth constant, if its radius is halved, then what will be the duration of the day (in $\text{ hours}$)?
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