Fly-wheel is used with an engine because it

Figure shows a small wheel fixed coaxially on a bigger one of double the radius. The system rotates about the common axis. The strings supporting $A$ and $B$ do not slip on the wheels. If $x$ and $y$ be the distances travelled by $A$ and $B$ in the same time interval, then

The variation of angular position $\theta $ of a point on a rotating rigid body with time t is shown in figure. Is the body rotating clockwise or anti-clockwise ?

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 system is released from rest then the acceleration of each mass will be

$A$ 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

How many degrees of freedom does a rotational motion about fixed axis ?