Question

A particle P moves on the plane. Position vector of P is $\vec{r}$. Angle $\theta$ measured from point O to OP. If $\ddot{\vec{r}}=(kr\dot{\theta}-\mu r)\hat{e}_r+k\dot{r}\hat{e}_\theta$ where $k$ and $\mu$ are constant and $\mu >\frac{3}{4}k^2$. Defining initial conditions at the time $t=0$ ,$\vec{r}=a\hat{e}_r, \dot{\vec{r}}=\frac{1}{2}ka\hat{e}_\theta$ and $\theta=0$ find equation of motion of P$\ddot{\vec{r}}=(kr\dot{\theta}-\mu r)\hat{e}_r+k\dot{r}\hat{e}_\theta)$

Answer 1

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