Dynamics Problem: Homework Statement & Equations

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The discussion focuses on solving a dynamics problem involving given values of r, θ, and their derivatives. Participants emphasize the need to calculate velocities and accelerations using the provided equations for velocity and acceleration in polar coordinates. The key equations involve differentiating the position vector and applying the derivatives to find the required quantities. One value among the given parameters is noted to be zero, which may simplify calculations. The solution approach involves substituting the known values into the derived equations.
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Homework Statement


Please see attachment below
Thanks


Homework Equations





The Attempt at a Solution

 

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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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