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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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.
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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