Torque

A planet of mass $m$ is in an elliptical orbit about the sun $\left(m<<M_{\text{sun}}\right)$ with an orbital period $T$. If $A$ be the area of orbit, then its angular momentum would be

If force $\overrightarrow{F}=3\hat{\mathrm{i}}+4\hat{\mathrm{j}}-2\hat{\mathrm{k}}$ acts on a particle having position vector $2\hat{\mathrm{i}}+\hat{\mathrm{j}}+2\hat{\mathrm{k}}$ then, the torque about the origin will be:

Two like parallel force $50\mathrm{N}$ and $100 \mathrm{N}$ act the end of the rod $360 \mathrm{mm}$ long. Find the magnitude of the resultant force and the point where it acts?

Which relation is not correct of the following?

What are the rotational equivalents for the physical quantity force?

Relation between Torque and angular momentum is similar to the relation between

A uniform rod $\mathrm{AB}$ of length$L$ and mass $M$is lying on a smooth table. A small particle of mass $m$ strikes the rod with velocity $v_0$ at point $C$ at a distance $x$from the centre $O$. The particle comes to rest after collision. If the value of $x$, so that the point $\mathrm{A}$of the rod remains stationary just after the collision, is$L/n$, then find $n$.

Relation between Torque and angular momentum is similar to the relation between

What is Angular momentum of a particle?

A horizontal disc is freely rotating about a vertical axis passing through its centre at the rate of $100 \mathrm{rpm}$. A  bob of wax of mass $20 \mathrm{g}$ falls on the disc and sticks to it a distance of $5 \mathrm{cm}$ from the axis. If the moment of inertia of the disc about the given axis $2\times {10}^{-4 } kg m^2$. Find the new frequency of the disc.

What is Torque of force? Discuss the conditions when it is maximum and minimum.

State the law of conservation of Angular momentum.

The $747$ Boeing plane is landing at a speed of $70 \mathrm{m}/\mathrm{s}$. Before touching the ground, the wheels are not rotating. How long a skid mark do the wing wheels leave?

When a tree is cut, the cut is made on the side facing the direction in which the tree is required to fall. Why?

A time varying torque $\left(4t\right) \mathrm{N} \mathrm{m}$ is applied on an object about a pivot. Change in angular momentum of body till time $t=3\mathrm{ }\mathrm{s}$ is:

A $13 \mathrm{m}$ ladder is placed against a smooth vertical wall with its lower end at a distance $5 \mathrm{m}$ from the wall. The minimum coefficient of friction between the ladder and the floor so that the ladder remains in equilibrium is nearly

A rigid metallic sphere is spinning around its own axis in the absence of external torque. If the temperature is raised, its volume increases by $9 \%$. The change in its angular speed is

A ball of mass $200 \mathrm{g}$ is thrown directly upward from $X-$axis from $x=2 \mathrm{m}$ position. The initial speed of the ball is $40 \mathrm{m} {\mathrm{s}}^{-1}.$ The magnitude (absolute value) of the angular momentum of the ball about the origin $\left(x=0\right),$ when the ball is halfway back to the ground is:

An object of mass $2 \mathrm{kg}$ is moving with a uniform velocity of $2 \mathrm{m} {\mathrm{s}}^{-1}$ parallel to the $Y-$direction. At the time of $t=0$ s the particle is located on the $X-$axis $3$ meters away from the origin $0,$ then the angular momentum (in ${\mathrm{kgm}}^2 {\mathrm{s}}^{-1}$) about $0$ at $t=4 \mathrm{s}$ is

A force of $\left(7\hat{\mathrm{i}}+3\hat{\mathrm{j}}-5\hat{\mathrm{k}}\right) \mathrm{N}$ acts on a particle whose position vector is $\left(\hat{\mathrm{i}}-\hat{\mathrm{j}}+\hat{\mathrm{k}}\right) \mathrm{m}$. Find the torque experienced by the particle about the origin in $\mathrm{N}-\mathrm{m}$.