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89_Dynamics 11ed Manual - Engineering Mechanics Dynamics...

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Unformatted text preview: Engineering Mechanics - Dynamics ⎞ ρ θ1 = ⎛ ⎟ e ⎜2 c t1 b Given Chapter 12 ⎝c ⎠ ( − ⎛ b ⎞t − b ⎜ ⎟1 2 ⎝c⎠ c t1 = Find ( t1 ) ) b c t1 e −1 c vB1 = c t1 aBt1 = b e aBt1 = 4.180 vB1 = 3.68 aBn1 = m 2 t1 = 2.123 s vB1 aB1 = 2 s 2 ρ aBn1 = 2.708 s m m 2 aBt1 + aBn1 aB1 = 4.98 s 2 m 2 s *Problem 12-120 The car B turns such that its speed is increased by dvB/dt = b ect. If the car starts from rest when θ = 0, determine the magnitudes of its velocity and acceleration when t = t1. Neglect the size of the car. Also, through what angle θ has it traveled? Given: m b = 0.5 2 s −1 c =1s t1 = 2 s ρ =5m Solution: ct aBt = b e vB = ( b ct e −1 c ⎞ ρ θ = ⎛ ⎟e ⎜2 b ct ⎝c ⎠ vB1 = ( ) − ⎛ b⎞t − b ⎜⎟ ⎝ c ⎠ c2 ) b c t1 e −1 c c t1 aBt1 = b e vB1 = 3.19 aBn1 = vB1 m aB1 = 2 s 2 ρ 87 aBt1 + aBn1 2 ...
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