3. A uniform cylinder has mass M and radius R. A. Find the "area density" of the cylinder. 3. Find the moment of inertia. Hint: If you slice the cylinder into many skinny concentric disks with thickness dr, each disk could be uncoiled o make a rectangle with length 2*pi*r. You can use the length and thickness to get the area and then multiply y the density to get the mass of each disk. And each disk is r units from the center... ва 2 по
3. A uniform cylinder has mass M and radius R. A. Find the "area density" of the cylinder. 3. Find the moment of inertia. Hint: If you slice the cylinder into many skinny concentric disks with thickness dr, each disk could be uncoiled o make a rectangle with length 2*pi*r. You can use the length and thickness to get the area and then multiply y the density to get the mass of each disk. And each disk is r units from the center... ва 2 по
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Please integrate to solve, label any formulas used, and draw free body diagrams, thanks!
Transcribed Image Text:Zmixu
2
Units of inertia m
2= full length
x = 1p₁^
2
3. A uniform cylinder has mass M and radius R.
A. Find the "area density" of the cylinder.
B. Find the moment of inertia.
Hint: If you slice the cylinder into many skinny concentric disks with thickness dr, each disk could be uncoiled
o make a rectangle with length 2*pi*r. You can use the length and thickness to get the area and then multiply
y the density to get the mass of each disk. And each disk is r units from the center...
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