Changing position in circular motion

AI Thread Summary
In circular motion, the x and y components of position change based on the angle θ and the radius R of the circle. The relationship can be expressed using the equations x = R * cos(θ) and y = R * sin(θ). For uniform circular motion, the angle can be described by the formula θ(t) = θ_i + ωt, where ω is the angular velocity. Understanding how these components vary with time is crucial for solving related problems. The discussion emphasizes the importance of clarifying the specific question to provide accurate assistance.
alik
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Could you help me with question : How does the x and y component of the position change in circular motion?
 
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Draw a circle at the origin of x and y axes. Then, as you move your pen around the circle, the x and y components of the position of your pen will change.

Your question isn't very precise-- what do you mean by "how"? Are you looking for equations here? Is this a homework question? If so, then state the exact question, and your attempt before we can help you.
 
;) it's my exam's question on monday . It's the exact formulation of these question and I think it's about the relation between x y components and the angle - yes any equation
 
alik said:
Could you help me with question : How does the x and y component of the position change in circular motion?

Do you mean "change with time"? Do you mean *uniform* circular motion?

In any case, have you seen the formula \theta(t) = \theta_i + \omega t for circular motion at constant speed? If yes, the answer is simple. If not, I am not sure what they are looking for in terms of an answer. If you fix the time, it's pretty clear how to write x and y at a given time in terms of the angle at that same time \theta(t) and the radius R of teh circle.
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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