How Do You Calculate the Acceleration of a Box on Banked Wheels?

[tamim94]

Homework Statement

Hello dear members,
at the Moment im studying for an examn in dynamics and i cant solve this Task. The answer which i have is xM=0.67g.

Relevant Equations

F=M*a
Mt=m*phi*r/2
...

A homogen box with the mass M rolls without sliding on two round wheels. The wheels with mass mass m are also homogen and roll without sliding, on top of the banked Surface. We use Gravitation g.

Find the accelration xM of the box

I don't know which solution is correct. i got 0.67 m for xM.

the free Body Diagram can be seen in the attached files

 

[TSny]

Welcome to PhysicsForums.

i got 0.67 m for xM.

Please show how you arrived at your answer. (This is a requirement for posts in the homework forums.)
Are you using xM to denote the acceleration of mass M? That doesn't seem very appropriate. Your answer of 0.67 m does not have the correct units for acceleration.

Homework Equations::
...
Mt=m*phi*r/2

This doesn't look like a standard equation. Please explain the meaning of the symbols.

the free Body Diagram can be seen in the attached files

Your diagram is very hard to read.