•  A disk rotates without sliding on a rough inclined frame under the action of a force  which maintains a parallel direction to the inclined frame. The frame itself slides on a rough horizontal ground. The coefficient of friction at all contacting surfaces is and gravity is included. The system is shown at the position where all springs and the viscous damper are at their natural lengths. 
• 
  
• (a) How many degrees of freedom does this system have? Is it conservative? 
• 
  
• (b) Derive the equation(s) of motion using vectorial mechanics.