Chapter 13, Problem 23RE

(a)

To determine

To show: The velocity $\text{v}$ of the particle is $\text{v}=\cos \omega t\text{i}+\sin \omega t\text{j}+t{\text{v}}_d$ for the position vector $\text{r}\left(t\right)=t\text{R}\left(t\right),\text{R}\left(t\right)=\cos \omega t\text{i}+\sin \omega t\text{j}$.

(b)

To determine

To show: The acceleration $\text{a}$ of the particle is $\text{a}=2{\text{v}}_d+t{\text{a}}_d,{\text{a}}_d={\text{R}}^{″}\left(t\right)$ for the position vector $\text{r}\left(t\right)=t\text{R}\left(t\right),\text{R}\left(t\right)=\cos \omega t\text{i}+\sin \omega t\text{j}$.

(c)

To determine

To find: The Coriolis acceleration of a particle with the position vector $\text{r}\left(t\right)=e^{-t}\cos \omega t\text{i}+e^{-t}\sin \omega t\text{j}$.