1. Consider two disks of the same mass rotating about their axes. Disk A has twi

Question

1. Consider two disks of the same mass rotating about their axes. Disk A has twice the radius of Disk B. What is the ratio of the moment of inertia of disk A to disk B?
2. Consider two disks with the same radii rotating about their axes. Disk A has twice the mass of disk B. What is the ratio of the moment of inertia of disk A to that of disk B?

Explanation / Answer

Moment of inertia of a disk is I .5MR^2 a) I1/I2 = .5M1R1^2/.5M2R2^2 = M1 =M2 and R1 =2R2 =>(2R2)^2/R2 = 4/1 Ratio of moment of inertia is 4/1 b)a) I1/I2 = .5M1R1^2/.5M2R2^2 = M1 = 2M2 and R1 =R2 =>(2M2)/M2 = 2/1 Ratio of moment of inertia is 2/1

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