312_Dynamics 11ed Manual

312_Dynamics 11ed Manual - v B relative to A Given M 10 kg...

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Engineering Mechanics - Dynamics Chapter 15 t 2 50 ms = t 3 125 ms = t 4 200 ms = t 5 210 ms = F 2 3.0 lb = F 1 1.5 lb = Solution: Area 1 2 t 1 F 1 F 1 t 2 t 1 () + F 1 t 4 t 2 () + 1 2 t 5 t 4 () F 1 + 1 2 F 2 F 1 () t 4 t 2 () + = Imp Area W lb = Imp 70.2 lb s = Problem 15-14 As indicated by the derivation, the principle of impulse and momentum 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 at time t 1 if it has an initial speed v 0 measured from the fixed frame. Compare the result with that obtained by an observer B , attached to the x' axis that moves at constant velocity
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Unformatted text preview: v B relative to A . Given: M 10 kg = v 5 m s = F 6 N = v B 2 m s = t 1 4 s = Solution: Observer A : M v F t 1 + M v 1A = v 1A v F M ⎛ ⎝ ⎞ ⎠ t 1 + = v 1A 7.40 m s = Observer B : M v v B − ( ) F t 1 + M v 1B = v 1B v v B − F M ⎛ ⎝ ⎞ ⎠ t 1 + = v 1B 5.40 m s = Note that v 1A v 1B v B + = Problem 15-15 The cabinet of weight W is subjected to the force F = a ( bt+c ). If the cabinet is initially moving up the plane with velocity v , determine how long it will take before the cabinet comes to a stop. F always acts parallel to the plane. Neglect the size of the rollers. 310...
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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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