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**Unformatted text preview: **9.81: a) Consider a small strip of width dy and a distance y below the top of the triangle. The length of the strip is x = ( y h ) b. 1 The strip has area x dy and the area of the sign is bh, so the mass of the strip is 2 xdy yb 2 dy 2M dm = M 1 = M = 2 y dy bh h bh h 2 dI =
1 3 h ( dm) x 2 = 2Mb 4
3h
2 2 y 3 dy 2 Mb h 3 2 Mb 2 1 4 h 1 y dy = y |0 = Mb 2 4 4 0 0 3h 3h 4 6 2 2 1 b) I = 6 Mb = 2.304 kg m = 2.00 rev s = 4.00 rad s K = 1 I2 = 182 J 2 I = dI = ...

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