# Dynamics Problem

1. Dec 12, 2006

### girls4engineers

1. The problem statement, all variables and given/known data
Please see attachment below
Thanks

2. Relevant equations

3. The attempt at a solution

#### Attached Files:

• ###### Dynamics problem.doc
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2. Dec 19, 2006

### Gokul43201

Staff Emeritus
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.

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