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.

 

[piercas]

I am unable to provide a specific solution without the given equations and problem statement. However, I can offer some general guidance on approaching dynamics problems.

The first step in solving any dynamics problem is to carefully read and understand the problem statement. This will give you important information about the system and the specific question being asked.

Next, you should make a list of all the known and unknown variables in the problem. This will help you organize your thoughts and determine which equations to use.

Once you have identified the variables, you can begin applying the relevant equations from your textbook or lecture notes. It is important to carefully choose the correct equations and understand how they relate to the problem at hand.

As you work through the problem, be sure to keep track of your units and use proper notation. This will help you avoid mistakes and ensure that your final answer is in the correct form.

Finally, it is always a good idea to check your solution and make sure it makes sense in the context of the problem. If you have any doubts, you can always ask for help from your classmates, professor, or a tutor. With practice and a solid understanding of the fundamental principles of dynamics, you will be able to confidently solve any problem that comes your way.