251_Dynamics 11ed Manual

251_Dynamics 11ed Manual - v 0 and travels a distance d...

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Engineering Mechanics - Dynamics Chapter 14 Given: M 20 kg = c 3 = d 1 3m = d 4 = v 0 2 m s = k 50 N m 2 = μ k 0.3 = g 9.81 m s 2 = Solution: N B Mg c c 2 d 2 + kx 2 0 = N B Mg c c 2 d 2 + kx 2 + = Guess v 1 2 m s = Given 1 2 Mv 0 2 d c 2 d 2 + 0 d 1 x kx 2 d + k Mgd 1 k 0 d 1 x c c 2 d 2 + kx 2 d 1 2 Mv 1 2 = v 1 Find v 1 () = v 1 3.774 m s = Problem 14-13 As indicated by the derivation, the principle of work and energy is valid for observers in any inertial reference frame. Show that this is so by considering the block of mass M which rests on the smooth surface and is subjected to horizontal force F . If observer A is in a fixed frame x , determine the final speed of the block if it has an initial speed of
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Unformatted text preview: v 0 and travels a distance d , both directed to the right and measured from the fixed frame. Compare the result with that obtained by an observer B , attached to the x' axis and moving at a constant velocity of v B relative to A . Hint: The distance the block travels will first have to be computed for observer B before applying the principle of work and energy. Given: M 10 kg = F 6 N = v 5 m s = d 10 m = v B 2 m s = g 9.81 m s 2 = 249...
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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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