Embibe Experts Solutions for Exercise 2: Assignment

Angular momentum $\overrightarrow{L}$ of a particle of linear momentum $\overrightarrow{p}$ at a position $\overrightarrow{r}$ relative to the origin $O$, about it is given by $\overrightarrow{\left|L\right|}=rp$_____$\left(\theta \right)$ .

Rotational _____ energy of a rigid body of moment of inertia $I$ rotating with angular velocity $\omega$ about a fixed axis is $\frac{1}{2}I{\omega }^2$.

Moment of inertia of a hollow cylinder of mass $M$ and radius $R$ about the axis of cylinder is _____$R^2$.

A body rolls down on an inclined plane. If its kinetic energy of rotational motion is $40\%$ of its kinetic energy of translational motion, then the body is

 $\overrightarrow{a}\times (\overrightarrow{b}+\overrightarrow{c})=$$\overrightarrow{a}\times \overrightarrow{b}$_____$\overrightarrow{a}\times \overrightarrow{c}$.

Flywheel have _____ moment of inertia. (large/small)

Show that the vectors $\overrightarrow{\mathrm{A}}=2\widehat{ \mathrm{i}}-3\hat{\mathrm{J}}-\tilde{\mathrm{k}}$ and $\overrightarrow{\mathrm{B}}=-6\hat{\mathrm{i}}+9\hat{\mathrm{j}}+3\hat{\mathrm{k}}$ are parallel.