A uniform disk that has a mass M and a radius R can rotate freely about a fixed

Question

A uniform disk that has a mass M and a radius R can rotate freely about a fixed horizontal axis that passes through its center and is perpendicular to the plane of the disk. A small particle that has a mass m is attached to the rim of the disk at the top, directly above the pivot. The system is gently nudged, and the disk begins to rotate. (Use any variable or symbol stated above along with the following as necessary: g.) (a) As the particle passes through its lowest point, what is the angular speed of the disk? ?f = (b) What force is exerted by the disk on the particle? F =

Explanation / Answer

using energy conservation
mg*2R=.5*.5*M*R*R*W^2
SQUARE ROOT(8mg/MR)=W

FORCE=mw^2*R=m*8mg/MR*R=8m^2g/M

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