Rigid Body

A horizontal heavy uniform bar of weight $W$ is supported at its ends by two men. At the instant, one of the men lets go off his end of the rod, the other feels the force on his hand changed to:
 

A block of mass $m$ fastened to the end of a steel wire of unstretched length $l_0$, is whirled in a vertical circle with angular velocity of ${\omega }_0$. The cross- sectional area of wire is $A_0$. The elongation of wire when mass is at lowest point of its path is [Where$Y$ is Young's modulus of steel wire]

 A force $(F=\frac{-ky\hat{i}}{\sqrt{x^2+y^2}},\frac{-kx\hat{j}}{\sqrt{x^2+y^2}})$. $N$ is applied on a block, whose position is $P (x, y)$. The block moves on a circular path of radius $R$. Find the work done by the force $F$ in a complete rotation.
 

One end of a uniform rod rests against a smooth vertical wall and other end on rough horizontal floor. If coefficient of friction between the lower end of rod and floor is $0.3$, then minimum angle $\mathrm{\theta }$ of inclination of rod with horizontal, can be

Four point size metal spheres each of mass $1\mathrm{kg}$ are placed on a turn table and are connected by four strings of equal length $1 \mathrm{m}$ to form a square. If the spheres are rotated with an angular frequency $\frac{1}{\pi }rps$, the tension in the connecting strings is

The earth rotates on its axis takes $24$ hours to complete one revolution. How much time it takes at sun from earth to have shift of $1°$?

What is meant by rigid body?

A disc, having plane parallel to the horizontal smooth surface is moving such that velocity of point $P$ with respect to ground on its periphery is $2 {\mathrm{ms}}^{-1}\hat{\mathrm{j}}$ as shown in the figure. If radius of disc is $R=1\mathrm{m}$ and angular speed of disc about vertical axis passing through $C$ is $\omega =2{\mathrm{rads}}^{-1}$, the velocity of centre of $disc$ in ${\mathrm{ms}}^{-1}$ is

What is rotational motion? What is its cause?

What is the difference between translational and rotational motion?

What is rotational motion? Explain rotational motion about a fixed axis.

Angular momentum and axial velocity of a body of mass $\mathrm{m}$ are related as 

When the torque acting upon a system is zero, which of the following will be constant?

A rod is rotating about one end. If a force ${\mathrm{F}}_1$ acting on the other end produces torque $\mathrm{T}$ and supplies power ${\mathrm{P}}_1$ find the value of force ${\mathrm{F}}_2$ that will produce the same amount of power when it acts at the midpoint of the rod. Assume that all the forces are ${\perp }^{\mathrm{r}}$ to the axis of rotation & axis of rod. The rod starts from rest.

A ring is rotating about a diameter. The radius$=5\mathrm{cm}$ & mass of ring$=1\mathrm{kg}$. A force is applied on the ring such that it is ${\perp }^{\mathrm{r}}$ to the axis and vector $\mathrm{AB}$. The magnitude of force is $10\mathrm{N}\sqrt{2}$ and the work done by the torque, when the ring rates by ${90}^{\mathrm{o}}$

A ring of radius $7 \mathrm{cm}$ is rotating about the central axis ${\perp }^{\mathrm{r}}$ to its plane. A force acts on it tangentially, such that it does a work of $10\mathrm{J}$ in a complete rotation. Find the value of that force.

A rigid body can be ____________.

What is called a rigid body?

What do you mean by the translational motion of a rigid body?

State the condition for which a rigid body will have a combination of translation and rotation motion.