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 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
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Obtain Newton's second law for system of particle and write it.
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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 ?