77_Dynamics 11ed Manual - Engineering Mechanics - Dynamics...

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Engineering Mechanics - Dynamics Chapter 12 Problem 12–99 The projectile is launched from a height h with a velocity v 0 . Determine the range R . Solution: a x 0 = a y g = v x v 0 cos θ () = v y g tv 0 sin + = s x v 0 cos t = s y 1 2 gt 2 v 0 sin t + h + = When it hits Rv 0 cos t = t R v 0 cos = 0 1 2 2 v 0 sin t + h + = g 2 R v 0 cos 2 v 0 sin R v 0 cos + h + = Solving for R we find R v 0 2 cos 2 g tan tan 2 2 gh v 0 2 cos 2 + + = * Problem 12-100 A car is traveling along a circular curve that has radius ρ . If its speed is v and the speed is increasing uniformly at rate a t , determine the magnitude of its acceleration at this instant. Given: 50 m = v 16 m s = a t 8 m
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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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