List of top Physics Questions on System of Particles & Rotational Motion asked in JKCET

Two masses $m_1$ and $m_2$ are connected by a massless string over a fixed pulley. If $m_1 > m_2$ , $m_1$ will move downward and $m_2$ will move upward. What is the acceleration with which the combination o f two masses will move? ( $g =$ acceleration due to gravity)

A uniform bar of mass $M$ and Length $L$ is bent in the form of an equilateral triangle. Find the moment of inertia of the triangle about an axis passing through the centre of mass and perpendicular to the plane of the triangle.

Why there are two propellers in a helicopter ?

A solid cylinder of mass $M$ and radius $R$ rolls on a flat surface. Find its moment of inertia about the line of contact.

A body of mass $5 \,kg$ acquires an angular acceleration of $10\, rad\, s^{-2}$ by an applied torque of $2 \,N m$ . Find its radius of gyration.

A solid sphere is rolling down an inclined plane. Then, the ratio of its translational kinetic energy to its rotational kinetic energy is

A uniform rod of length $L$ and mass $M$ is held vertical, with its bottom end pivoted to the floor. The rod falls under gravity, freely turning about the pivot. If acceleration due to gravity is $g$, what is the instantaneous angular speed of the rod when it makes an angle $60^{\circ}$ with the vertical?

A cheetah, weighing $150 \,kg$, chases a deer, weighing $30 \, kg$, in a straight path. The speed of the cheetah is $20 \,m / s$ and that of the deer is $25 m / s$. The approximate speed of the centre of mass of the pair is

A constant torque of $3.14\,Nm$ is exerted on a pivoted wheel. If the angular acceleration of the wheel is $4\pi \,rad/s^{2},$ then the moment of Inertia of the wheel is

The correct vector relation between linear velocity $\vec{v}$ and angular velocity $\vec{\omega }$ in rigid body dynamics is ( where $\vec{r}$ is the position vector)

The moment of inertia of a circular ring of mass $1\,kg$ about an axis passing through its centre and perpendicular to its plane is $4\, kg-m^{2}$ . The diameter of the ring is

For spheres each of mass $M$ and radius $R$ are placed with their centres on the four comers $A, B, C$ and $D$ of a square of side $b$. The spheres $A$ and $B$ are hollow and $C$ and $D$ are solids. The moment of inertia of the system about side $AD$ of square is