- #1
zoom1
- 65
- 0
Didn't get this equation which is written for the pendulum part of the cart.
Must be easy but couldn't get it.
AlephZero said:It is just "force = mass x acceleration" in the x direction, for the center of mass of the rod. (The length of rod isn't shown on your diagram, but if the equation is correct it is 2l, not l).
The ##\ddot\theta## term is from the tangential acceleration of the rod.
The ##\dot\theta^2## term is the from the radial (centripetal) accleration.
A simple dynamics equation is a mathematical expression that describes the relationship between the motion of an object and the forces acting on it. It is used to predict how an object will move under the influence of these forces.
A simple dynamics equation specifically focuses on the relationship between an object's motion and the forces acting on it, while other equations may address different physical phenomena such as energy or heat.
The variables used in a simple dynamics equation include mass, acceleration, and force. These variables are typically represented by the symbols m, a, and F, respectively.
To use a simple dynamics equation to solve a problem, you first need to identify the given variables and determine which variable is missing. Then, you can rearrange the equation to solve for the missing variable and plug in the known values to calculate the solution.
Yes, a simple dynamics equation can be used for all types of motion, including linear, circular, and rotational motion. However, the specific equation used may vary depending on the type of motion being analyzed.