HW 9-Rotation of Rigid (8%) Problem 11: A uniform flat disk of radius R and mass

Question

HW 9-Rotation of Rigid (8%) Problem 11: A uniform flat disk of radius R and mass 2M is pivoted at point P A point mass of 1/2 M is attached to the edge of the disk 2MR 2 M theexpertta.com s a 33% Part (a) Calculate the moment of inertia Ice of the disk (without the point mass) with respect to the central aus of the disk, in terms of Mand R. Deductions Potential 100% Attempts remaining per attempt) Submit per hit Hints remainng Hints: and R A 33% Part (c) Calculate the total moment of inertia IT of the disk oath the point mass with respect to point P in terms of"rand R

Explanation / Answer

here,

a)

the moment of inertia of the disk with respect to the central axis , Icm = 0.5 * 2 * M * R^2 = M * R^2

b)

the moment of inertia of the disk with respect to point P , Ip = Icm + 2 M * R^2 = 3 M * R^2

c)

the total moment of inertia about the point P , Tp = Ip + 0.5 * M * (2*R)^2

Tp = 5 MR^2

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