System of Particles and Rotational Motion
The vector relation between linear velocity ($\vec{v}$), angular velocity ($\vec{\omega}$), and position vector ($\vec{r}$) for a rotating particle is:
What is the rotational analogue of force in linear motion?
The moment of inertia of a uniform thin rod of mass $M$ and length $L$ about an axis passing through its center and perpendicular to its length is:
The SI unit of radius of gyration is:
If no external torque acts on a rotating system, which of the following physical quantities remains constant?
The moment of inertia of a solid sphere of mass $M$ and radius $R$ about its diameter is:
The formula for rotational kinetic energy of a rigid body is:
According to the theorem of parallel axes, $I = I_{cm} + Mh^2$, where $h$ is:
A ballerina stretches her hands out while spinning and then pulls them closer to her body. What happens to her angular velocity when she pulls her hands in?
The center of mass of a system of particles does NOT depend on:
Where is the center of mass of a uniform triangular lamina located?
The relation between torque $\tau$, moment of inertia $I$, and angular acceleration $\alpha$ is:
The moment of inertia of a circular ring of mass $M$ and radius $R$ about an axis passing through its center and perpendicular to its plane is:
What is the physical quantity defined by the rate of change of angular momentum?
For a rigid body executing pure rolling motion on a stationary flat surface without slipping, the linear velocity of the point of contact with the ground is:
The moment of inertia of a rigid body depends on:
A solid cylinder and a hollow cylinder of same mass and outer radius roll down an inclined plane from the same height without slipping. Which one reaches the bottom first?
Work done by a constant torque $\tau$ in rotating a body through an angular displacement $\theta$ is:
What is the magnitude of the angular momentum $\vec{L}$ of a particle of linear momentum $\vec{p}$ located at position vector $\vec{r}$ from the origin?
Two particles of masses $1\text{ kg}$ and $3\text{ kg}$ are located at positions $(0,0)$ and $(4,0)\text{ m}$ respectively. The $x$-coordinate of their center of mass is: