A 6.9-kg wheel with geometric radius m has radius of gyration computed about its mass center given by m. A massless bar at angle is pin-connected to its center and subjected to force N. If the wheel rolls without slipping on the flat stationary ground surface, find its angular acceleration . Consider counterclockwise to be positive when reporting your answer.

Complete Question

The complete question is shown on the first uploaded image

The value is  

Explanation:

From the question we are told that

  The mass of the wheel is  m =  6.9  kg

   The radius is  

    The radius of gyration is  

    The angle is  

    The force which the massless bar is subjected to

Generally given that the wheels rolls without slipping on the flat stationary ground surface, it implies that  point A is the  center of rotation.

  Generally the moment of  inertia about A is mathematically represented as

Here is the moment of inertia about G with respect to the radius of gyration  which is mathematically represented as

=>

=>

=>

Generally the torque experienced by the wheel  is mathematically represented as

=>    

=>    

Generally this torque is also mathematically represented as

=>  

=>