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ME 242 Selected Answers Chapter 7

# ME 242 Selected Answers Chapter 7 - 7.1 7.1.2 Curvilinear...

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7.1 Curvilinear Translation 7.1.2 13% increase for N 1 and 13% decrease for N 2 . 7.1.4 ¨ x = gL 1 h = 2 . 1 g 7.1.6 The run without a wheelie takes 8% longer. 7.1.8 ¨ s = 0 . 7 g 7.1.10 θ 1 = 26 . 6 7.1.12 ¨ x = 21 . 7 m/s 2 7.1.14 ˙ θ = 0 . 936 rad / s 7.1.16 T 1 = - 10 . 9 N 7.2 Rotation About a Fixed Point 7.2.2 I O = 7 48 mL 2 7.2.4 ¯ I xx = mr 2 ( 1 2 - 4 π 2 ) + mh 2 12 7.2.6 I total = 247 ρπr 2 4 512 7.2.8 I A = I G + m ( 2 L 2 1 ) = 3 mL 2 1 7.2.10 I O = 47 . 5 kg · m 2 7.2.12 I A = 164 . 4 kg · m 2 7.2.14 I G = 0 . 3535 kg · m 2 7.2.16 I = m (6 az 0 - 1) 10 a 2 7.2.18 I zz = 4 15 ρπR 5 = 2 5 mR 2 7.2.20 I xx = 2 mR 2 5 7.2.22 I O = m 6 a 2 a ( b 2 + a 2 ) + c b 2 + c 2 2 7.2.24 I O = mr 2 8 + π ( 81 π +336 18 ) 7.2.26 I O = 10 . 885 kg cm 2 7.2.28 I O = I 1 + I 2 + I 3 = 2 c 3 3 + cb 2 2 + b 3 12 7.2.30 M = - 5 . 03 N · m, a A = - 4 . 40 m/s 2 7.2.32 (a): ¨ θ 2 = M ¯ I 2 (b:) ¨ θ 2 = - M r 2 r 1 / ¯ I 2 [1 + ( r 2 r 1 )( ¯ I 1 ¯ I 2 )] 7.2.34 (a): t f = 8 mLe 2 Fr 2 (b): t f = 1 2 t f 7.2.36 Case a: T 1 L 2 = 0 T 1 = 0, Case b: T 2 - 2 mg = 4 mg 3 7.2.38 α = 0 . 625 k rad/s 2 7.2.40 T = 280 lb 7.2.42 ω = [ mg + 2 kL (1 - cos θ )] tan θ m ( d + L sin θ ) 7.2.44 η = ω 2 0 r (1 + μ 2 ) 8 πμg (1 + μ ) 7.2.46 F = 34 . 2 ı lb 7.3 General Motion 7.3.2 ¨ θ = - 37 . 2 rad/s 2 7.3.4 a

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ME 242 Selected Answers Chapter 7 - 7.1 7.1.2 Curvilinear...

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