10.9 prob 8

Hi,
I had a question about chapter 10.9 number 8. I don't know how to find
the components of centripetal force.I'm hoping you could guide me on how
to
solve this problem.

OK....

The first thing you need to know is the definition of centripetal force--otherwise you will have no idea how to do this problem. This is actually in the textbook.  Read the part of 10.9 that covers this--you can look for the term in the index of the book to get the exact page number. Or you could look at online resources like Wikipedia (which is accurate much more often than it's not)

Second, you should know that centripetal force IS a force.  But the Newton's Law F=ma relates the force to the acceleration. This means that to get the force you're going to need to get the acceleration, which means you need to use the information they give you about the size of the circle and the speed of rotation to get a parameterization of the motion that represents the position of the path vs time accurately.  And then from that you can compute the acceleration.

Let me know how it goes.