281_Dynamics 11ed Manual

281_Dynamics 11ed Manual - Engineering Mechanics - Dynamics...

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Unformatted text preview: Engineering Mechanics - Dynamics Chapter 14 ⎛ v2 ⎞ 1 ⎟ τ1 ⎝ t2 ⎠ kW τ 1 = 0 , 0.01 t1 .. t1 P1 (τ 1) = F1⎜ τ 2 = t1 , 1.01 t1 .. t2 Solution: P2 (τ 2) = F1⎜ ⎛ τ 2 − t2 ⎞ ⎛ v2 ⎞ 1 ⎟⎜ ⎟τ2 ⎝ t1 − t2 ⎠ ⎝ t2 ⎠ kW Power Power in kW 15 10 () 5 P2( τ 2) P1 τ 1 0 5 0 0.05 0.1 0.15 0.2 0.25 τ 1, τ 2 Time in s P max = P 1 ( t1 ) kW P max = 10.667 kW *Problem 14-64 Determine the required height h of the roller coaster so that when it is essentially at rest at the crest of the hill it will reach a speed v when it comes to the bottom. Also, what should be the minimum radius of curvature ρ for the track at B so that the passengers do not experience a normal force greater than kmg? Neglect the size of the car and passengers. Given: v = 100 km hr k=4 Solution: T1 = 0 T2 = 12 mv 2 0 + mgh = V1 = m g h V2 = 0 12 mv + 0 2 279 ...
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This note was uploaded on 08/16/2011 for the course EGN 3321 taught by Professor Christianfeldt during the Spring '08 term at University of Central Florida.

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