Question: a. A disk of mass M and radius R has a hole of radius r centered on the axis. Calculate the moment of inertia of
a. A disk of mass M and radius R has a hole of radius r centered on the axis. Calculate the moment of inertia of the disk.
b. Confirm that your answer agrees with Table 12.2 when r = 0 and when r = R.
c. A 4.0-cm-diameter disk with a 3.0-cm-diameter hole rolls down a 50-cm-long, 20° ramp. What is its speed at the bottom? What percent is this of the speed of a particle sliding down a frictionless ramp?
TABLE 12.2 Moments of inertia of objects wich uniform density Object and axis Picture Picture Object and axis MR? Thin rod, about center ML? Cylinder or disk, about center Thin rod, about end ML? Cylindrical hoop, about center MR? Solid sphere, about diameter Plane or slab, about center Ma? MR? Plane or slab, about edge Ma Spherical shell, about diameter MR?
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