a) Determine the acceleration of the center of mass of a uniform solid disk roll

Question

a) Determine the acceleration of the center of mass of a uniform solid disk rolling down an incline making angle with the horizontal. (Use any variable or symbol stated above along with the following as necessary: g for the acceleration of gravity.) adisk = (b) Compare the acceleration found in part (a) with that of a uniform hoop. (Use any variable or symbol stated above along with the following as necessary: g for the acceleration of gravity.) ahoop = (c) What is the minimum coefficient of friction required to maintain pure rolling motion for the disk? (Use any variable or symbol stated above along with the following as necessary: g for the acceleration of gravity.) =

Explanation / Answer

f=?mgcos?=mgsin?-ma
a=2gsin?/3
so ?=tan?/3

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