Pure Rotation about an Axis

Q.

Differentiate between animation and transition in the digital presentation?

Q. A uniform disc of mass $M$ and radius $R$ is mounted on an axle supported in frictionless bearings. A light cord is wrapped around the rim of the disc as shown in figure below. If we hang a body of mass $m$ with the cord, it has acceleration $a$ as shown in figure. Find the angular acceleration of the disc $\left(\alpha \right)$.

1. $\frac{2m(a+g)}{MR}$
2. $\frac{2M(g-a)}{mR}$
3. $\frac{2m(g-a)}{MR}$
4. $\frac{2M(a+g)}{mR}$

Q. If all the points on a rigid body are performing circular motion about a common axis of rotation then one can deduce that the body is undergoing pure rotational motion.

1. True
2. False

Q. Motion of a rigid body which takes place in such a way that all of its particles move in a circle about a fixed axis with common angular velocity. Type of motion of rigid body is

1. Pure translational motion
2. Pure rotational motion
3. Combined translational and rotational motion
4. None of these

Q. Motion of a rigid body which takes place in such a way that all of its particles move in a circle about a fixed axis with common angular velocity. Type of motion of rigid body is

1. Pure translational motion
2. Pure rotational motion
3. Combined translational and rotational motion
4. None of these

Q. A uniform disc of mass $M$ and radius $R$ is mounted on an axle supported in frictionless bearings. A light cord is wrapped around the rim of the disc as shown in figure below. If we hang a body of mass $m$ with the cord, it has acceleration $a$ as shown in figure. Find the angular acceleration of the disc $\left(\alpha \right)$.

1. $\frac{2m(a+g)}{MR}$
2. $\frac{2M(g-a)}{mR}$
3. $\frac{2m(g-a)}{MR}$
4. $\frac{2M(a+g)}{mR}$

Q. The locus of the centers of all the circular motion of the particles present in the rotating body is known as

1. Axis of translation
2. Axis of rotation
3. Center of mass
4. None of these

Q. What do you think is the type of the motion performed by a Columbus' boat around a fixed axis as disucced by Aanand in the previous video clip?

1. Pure Rotation

2. Pure translation
3. Pure rotation and translation
4. Neither pure rotation nor pure translation

Q.

The axis of rotation of a purely rotating body

1. Must pass through the center of mass

2. May pass through the center of mass

3. Must pass through a particle of the body

4. May pass through a particle of the body