When a uniform solid sphere and a disc of the same mass and of the same radius rolls down a rough inclined plane from rest to the same distance, then the ratio of the time taken by them is
$15 : 14$
$15^2 : 14^2$
$\sqrt {14} :\sqrt {15} $
$14 : 15$
In the above problem the angular velocity of the system after the particle sticks to it will be ....... $rad/s$
Three bodies , a ring, a solid cylinder and a solid sphere roll down the same inclined plane without slipping. They start from rest. The radii of the bodies are identical. Which of the bodies reaches the ground with maximum velocity?
A flywheel is in the form of solid circular disc of mass $72\,kg$ and radius of $0.5\,m$ and it takes $70\, r.p.m.$ , then the energy of revolution approximately is ....... $J$.
A tube of length $L$ is filled completely with incompressible liquid of mass $M$ and closed at both the ends. The tube is then rotated in a horizontal plane about one of its ends with a uniform angular velocity $\omega $. The force exerted by the liquid on the tube at other end is
A thin circular ring of mass $m$ and radius $R$ is rotating bout 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 now rotates with an angular velocity $\omega '$ =