Chapter 3.4, Problem 195E

For each of the following problems, find the tangential and normal components of acceleration.

195. The force on a particle is given by $\text{f}\left(t\right)=\left(\cos t\right)i+\left(\sin t\right)j$ . The particle is located at point

$\left(c,0\right)$ at $t=0$ . The initial velocity of the particle is given by $v\left(0\right)=v_{0}j$ . Find the path of the particle of mass m. (Recall, $\text{F}=m\cdot \text{a}$ .)