Characteristic of rotational motion.
In rotation of a rigid body about a fixed axis, every particle of the body moves in a circle which lies in a plane perpendicular to the axis and has its centre on the axis.
In figure, rotational motion of a rigid body shows about the $Z$-axis of the frame of reference. Let $\mathrm{P}_{1}$ be a particle of the rigid body, arbitrarily chosen and at a distance $r_{1}$ from the fixed axis. The particle $\mathrm{P}_{1}$ describe a circle of radius $r_{1}$ with its centre $\mathrm{C}_{1}$ on the fixed axis. The circle lies in a plane perpendicular to the axis.
An another particle $\mathrm{P}_{2}$ of the rigid body, $\mathrm{P}_{2}$ is at a distance $r_{2}$ from the fixed axis. The particle $\mathrm{P}_{2}$ moves in a circle of radius $r_{2}$ and with centre $\mathrm{C}_{2}$ on the axis.
The circles described by $P_{1}$ and $P_{2}$ may lie in different planes, both these planes are perpendicular to the fixed axis.
For any particle on the axis like $\mathrm{P}_{3}, r_{3}=0$. Any such particle remains stationary while the body rotates.
In rotation of a spinning top, the axis may not be fixed as shown in figure. Assume that spinning top rotates at a fixed place.
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)
State the Newton's second law for the system of particle ?
What is rotational motion ? Explain it with example.
For the given figure find the acceleration of $1\, kg$ block if string is massless and mass of the pulley is $2\, kg$ and diameter of puller is $0.2\, m$ (in $m / s ^{2}$)
What is pure translational motion ?