Draw force diagrams of the cart and the hanging object. Include the appropriate acceleration vector next to each force diagram. Apply Newton's laws...

Draw force diagrams of the cart and the hanging object. Include the appropriate acceleration vector next to each force diagram.
Apply Newton's laws to the cart and to the hanging object.
Solve your equations for the acceleration of the cart in terms of quantities you know or can measure.
Show how you get an equation that gives the frequency of oscillation.
Sketch a graph of frequency vs. mass of hanging object for constant cart mass and spring constant. Will the frequency increase, decrease or stay the same as the hanging mass increases?

Files: Picture1.png