Explain translational motion by given illustration.
A rectangular block sliding down an inclined plane without any sidewise movement as shown in figure.
Its motion down the plane is such that all the particles of the body are moving together. Means they have the same velocity at any instant of time.
Such motion of rigid body is in pure translational motion.
In pure translational motion at any instant of time all particles of the body have the same velocity.
"In pure translation motion velocity of every particle of body at any instant" is what? Equal or unequal ?
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 uniformly thick wheel with moment of inertia $I$ and radius $R$ is free to rotate about its centre of mass (see fig). A massless string is wrapped over its rim and two blocks of masses $\mathrm{m}_{1}$ and $\mathrm{m}_{2}\left(\mathrm{m}_{1}>\mathrm{m}_{2}\right)$ are attached to the ends of the string. The system is released from rest. The angular speed of the wheel when $\mathrm{m}_{1}$ descents by a distance $h$ is
What is the total momentum of the system of particle ?
A cylinder of mass $M$ and radius $r$ is mounted on a frictionless axle over a well. A rope of negligible mass is wrapped around the cylinder and a bucket of mass $m$ is suspended from the rope. The linear acceleration of the bucket will be