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Two thin disks are attached as shown to the right The angle theta = 39.1 degree.

ID: 2057914 • Letter: T

Question

Two thin disks are attached as shown to the right The angle theta = 39.1 degree. and the masses and radii of the disks are listed in the table below. What is the moment of inertia of m is composite object about an axis perpendicular to the screen, through point p? The parallel axis states that the center of mass of an object about a different axis (parallel to the center of mass axis) can be found if you know the distance d between the two axes I = I disk,cm + Md2 = 1/2 Mr2 + Md2 Find the moment of inertia of each disk about point p individually, then add them together To find the distance from point p to the canter of disk B. find the horizontal and vertical components of the distance first

Explanation / Answer

I = 1/2 M R^ + 1/2 m r^1 + M R^2 + m L^2 Using the parallel axis theorem where Capital letters refer to the larger disk and small letters to the smaller disk. L = distance of center of small disk to axis of rotation Using the Law of Cosines L^2 = R^2 + (R + r)^2 - 2 R * (R + r) cos 140.9 Substitute and solve

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