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You want to directly calculate the moment of inertia of the large disk for rotations about its center. Which radius should be used in the appropriate equation? radius r radius R A plot is made of the disk's angular velocity, in rad/s (on the vertical axis) vs. time, in seconds (on the horizontal axis). The plot is linear. What does the slope of the plot represent? What are the units of the slope? Two disks have the same mass, but Disk B has three times the radius of Disk A. Find how the moment of inertia of disk A, about an axis through the center, compares to that of disk B: calculate the ratio 1A /1B. Two other disks have the same mass, and the same radius, but Disk D has twice the thickness of Disk C. Which disk is made of denser material? Explain. Find how the moment of inertia of disk C, about an axis through the center, compares to that of disk D: calculate the ratio IC/ ID.

Explanation / Answer

8).a). angular acceleration b). rad/s^2 9). mA = mB rB = 3*rA IA = mA*rA^2/2 IB = mB*rB^2/2 IA/IB = (mA/mB)*(rA/rB)^2 = 1*(1/3)^2 = 1/9 10). mC = mD rC = rD tD = 2*tC => volume of disk D is greater than volume of disk C. But their masses are same. Density = mass/volume therefore, disk C is made of denser material. 11). mC = mD rC = rD IC/ID = (mC/mD)*(rC/rD)^2 = 1*(1)^2 = 1

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