Two particles of equal mass are connected to a rope $AB$ of negligible mass such that one is at end $A$ and other dividing the length of rope in the ratio $1:2$ from $B$. The rope is rotated about end $B$ in a horizontal plane. Ratio of tensions in the smaller part to the other is (ignore effect of gravity)
$4:3$
$1:4$
$1:2$
$1:3$
$A$ block of mass $m$ is attached to a pulley disc of equal mass $m$, radius $r$ by means of a slack string as shown. The pulley is hinged about its centre on a horizontal table and the block is projected with an initial velocity of $5\, m/s$. Its velocity when the string becomes taut will be
What is system of particle ?
A sphere is rotating about a diameter
In the given figure linear acceleration of solid cylinder of mass $m_2$ is $a_2$. Then angular acceleration $\alpha_2$ is (given that there is no slipping).
Write the Newton's second law for rotational motion about a fixed axis.