Consider two thin bars of constant cross-sectional area, each of length 10 cm, with respective mass linear-density functions p(x) = and 8(x) = 0.12 k 1+z² k, and a (a) Interpret what it means for a bar to have mass linear-density p(x) = bar to have mass linear-density 6(x) = 0.1z ka (b) Find the mass of each bar. (c) Explain why zp(2) dr represents the total moment of mass for the first bar.
Consider two thin bars of constant cross-sectional area, each of length 10 cm, with respective mass linear-density functions p(x) = and 8(x) = 0.12 k 1+z² k, and a (a) Interpret what it means for a bar to have mass linear-density p(x) = bar to have mass linear-density 6(x) = 0.1z ka (b) Find the mass of each bar. (c) Explain why zp(2) dr represents the total moment of mass for the first bar.
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
Transcribed Image Text:2. Consider two thin bars of constant cross-sectional area, each of length 10 cm, with respective
mass linear-density functions p(x) = -
and 6(x) = 0.12 kg
1+x² m
(a) Interpret what it means for a bar to have mass linear-density p(x) = 1+2, and a
bar to have mass linear-density 6(x) = 0.12 kg
(b) Find the mass of each bar.
(c) Explain why zp(2) dr represents the total moment of mass for the first bar.
(d) Find the center of mass of each bar.
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