# Finding the centripetal force at any random point in a wheel which is rotating as well as translating

If we have a wheel which is decelerating due to friction with acceleration $-A$ and angular acceleration $-\alpha$, and we want to find the acceleration at any point, then we can simply find it using superposition of acceleration vectors.

My question is: If we want to write the equation governing centripetal force at any given point on the disc, what should be force equation for it? I mean how do we find what will be providing the centripetal force without first finding out the acceleration at that point? Is this approach even possible?

An example: How do we write the force equation at $\theta = 30°$ from the vertical axis at $r= \frac{R}{2}$? We can find the acceleration using superposition, but can we find it making a free body diagram?