What is the acceleration of a toy car rolling down a ramp at a 20 degree angle?

AI Thread Summary
The discussion revolves around calculating the acceleration of a toy car rolling down a ramp at a 20-degree angle, given its mass and the characteristics of its wheels. The user expresses difficulty in starting the problem and seeks guidance on finding the acceleration. They reference a similar problem from the International Physics Olympiad (IPhO) but cannot find a solution link. The conversation indicates that the problem involves multiple equations and variables, suggesting a complex relationship between forces and motion. Overall, the focus is on understanding the dynamics of the toy car's motion down the ramp.
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Homework Statement


A toy car has a total mass of 50 g, and rolls on freely spinning wheels, each of which can be modeled as a uniform disk of mass 1 g, and radius 2mm. What is the acceleration, a, of this toy car when it rolls without slipping down a ramp tilted at an angle of 20 degrees to the horizontal? By what factor is the toy car faster or slower than a frictionless block of the same total mass, ie what is a_car/a_frictionless?


Homework Equations


F=ma
velocity_center of mass=wr (w is angular velocity, r is radius)


The Attempt at a Solution


I don't know how to start this...how do you find the acceleration?
 
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This is like IPhO 2002 problem #3, I don't get it... maybe the solution for it will help?

http://www.jyu.fi/kastdk/olympiads/
 
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I don't see a link for the solution for that problem on the site you posted...I see the question, though. Can you send me a link to the solution?
 
hmm there's no link, I got there by going to the homepage then press on IPhO 02 and then the questions on the top with the answers on the bottom

I got to the part with 5 equations and 5 unknows but I haven't solved it yet. it seems like just a bit more complex situtation of your problem.
 

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