This Simulation covers:

A free body diagram of the body when it is located at an intermediate point along the path, in order to account for all the forces and couples which do work on the body as it moves along the path. The principle of Work and Energy is used here to solve the kinetics problem as this involves velocity, force and displacement.

Kinetic Energy:  Since the disk rotates about a fixed axis, the Kinetic Energy (T) can be computed using:

T          =          ½ I_o * ω² , where moment of inertia (I_o) is

I_o          =          ½ m * r²

Work (Free-Body Diagram):  

As shown in diagram, the pin reactions O_x and O_y and the weight do not work, since they are not displaced. The couple moment C, having a constant magnitude, does positive work           

U_M       =          M * θ

As the disk rotates through a clockwise angle of θ rad, and the constant force F does positive work   

U_Fc       =          Fs

s         =          θ *r

Principle of Work and Energy: 

{T₁}    +          {∑U_1-2}           =         {T₂}

Various inputs can be
given using sliders on
this panel.

Also, the final angular
velocity can be specified
with the slider at the
bottom.

The behavior of Angular Velocity and Displacement with
respect to time can be viewed through the graphs.

Animation can be played, paused, reset through the Animation Control Buttons.