Dynamics Problem: Homework Statement & Equations

[girls4engineers]

Homework Statement

Please see attachment below
Thanks

Homework Equations

The Attempt at a Solution

 

[Gokul43201]

You are given the values of $r,~\theta,~\dot{r},~\dot{ \theta }, ~\ddot{r},~\ddot{ \theta }$. (note: one of these numbers is zero)

You are then asked to find velocities, accelrations, etc.

You know that $$\vec{v} = \frac {d}{dt} \vec{r} = \frac {d}{dt} (r \hat{r} ) = \dot{r} \hat{r} + r \dot{ \theta } \hat{ \theta } ~~$$ and $$~~\vec{a} = \dot{ \vec{v}} ~~$$ etc. Just find the derivatives and plug in numbers.