A small bead of mass m can slide without friction on a vertical circular hoop of

Question

A small bead of mass m can slide without friction on a vertical circular hoop of radius R. When the bead makes an angle beta, the bead's acceleration is directed toward the hoop's axis of rotation see figure which shows the acceleration vector of the bead (a) Draw and label the force vector that must be acting on the bead to produce the acceleration shown. Label the force F vectoe9 b) Draw the free-body diagram for the bead. Make sure the force vectors are properly labeled. There are two forces acting on the bead Use common symbols for them. or, define your symbols. (c) Using geometry, express R' in terms of R and beta. A coordinate system is shown below for later use.

Explanation / Answer

Yes, it should be considered as sin rather than cos because sin = perpendicular/hypotenuse = R'/R

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