Two hollow spheres each of mass $M$ and radius $\frac {R}{2}$ are connected with a massless rod of length $2R$ as shown in figure. What will be the moment of inhertia of the system about an axis $yy'$ passing through the center of one of the sphere and perpendicular to the rod
$\frac {21}{5}\,MR^2$
$\frac {2}{5}\,MR^2$
$\frac {5}{2}\,MR^2$
$\frac {13}{3}\,MR^2$
Define mechanical advantage in lever.
A uniform solid cylinder of mass $M$ and radius $R$ rotates about a frictionless horizontal axle. Two similar masses suspended with the help two ropes wrapped around the cylinder. If the angular velocity of the cylinder, after the masses fall down through distance $h$, will be
"In pure translation motion velocity of every particle of body at any instant" is what? Equal or unequal ?
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)
$A$ 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