Purchase Solution

# Mathematical Modelling of a Controlled Cart on a Horizontal Pivoting Beam

Not what you're looking for?

Use Newtons Law to derive equations of motion for the system. This should be converted into transfer functions for input into MATLAB/SIMULINK.

The system consists of a motorised trolley on a see-saw (see attached figure). The trolley motor is to be controlled and eventually the trolley must balance the beam. A potentiometer senses the angle of the beam at the centre, and relates this to the required direction of travel for the trolley.

To re-iterate, full derivation of equations of motion (Newton) and their corresponding transfer functions are needed.

##### Solution Summary

This solution explains in 177 words the various motion equations for a system. Differential equations for angular speed and velocity are provided along with a Simulink model to describe the system. The derivation of equations of motion are given.

##### Solution Preview

Hi,

In your problem, a cart moving to the right moves clockwise to the beam at an angular speed equal to:

dO/dt = Oo + X*(M*g)*cos(O)*t/I

Where Oo is the initial angle, X is the position X from center, M is the cart mass, ...

##### Introduction to Nanotechnology/Nanomaterials

This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.

##### The Moon

Test your knowledge of moon phases and movement.

##### Intro to the Physics Waves

Some short-answer questions involving the basic vocabulary of string, sound, and water waves.

##### Variables in Science Experiments

How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.