Characteristic of rotational motion.
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.
Similar Questions
In motion of spinning top at any one place, whether the point in spinning top remains stationary or line remains stationary?
In motion of spinning top at any one place, whether the point in spinning top remains stationary or line remains stationary?
A solid sphere rotates about a vertical axis on frictionless bearing. A massless cord passes around the equator of sphere, then passes through over a solid cylinder and then is connected to block of mass $M$ as shown in figure. If the system is released from rest then the speed acquired by block after it has fallen through distance $h$ is
A solid sphere rotates about a vertical axis on frictionless bearing. A massless cord passes around the equator of sphere, then passes through over a solid cylinder and then is connected to block of mass $M$ as shown in figure. If the system is released from rest then the speed acquired by block after it has fallen through distance $h$ is
Let $\mathop A\limits^ \to $ be a unit vector along the axis of rotation of a purely rotating body and $\mathop B\limits^ \to $ be a unit vector along the velocity of a particle $ P$ of the body away from the axis. The value of $\mathop A\limits^ \to .\mathop B\limits^ \to $ is
Let $\mathop A\limits^ \to $ be a unit vector along the axis of rotation of a purely rotating body and $\mathop B\limits^ \to $ be a unit vector along the velocity of a particle $ P$ of the body away from the axis. The value of $\mathop A\limits^ \to .\mathop B\limits^ \to $ is
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
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
A mass $M$ is supported by a mass less string would wound a uniform cylinder of mass $M$ and radius $R$. On releasing the mass from rest, it will fall with acceleration
A mass $M$ is supported by a mass less string would wound a uniform cylinder of mass $M$ and radius $R$. On releasing the mass from rest, it will fall with acceleration