519_Dynamics 11ed Manual

519_Dynamics 11ed Manual - Engineering Mechanics - Dynamics...

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Unformatted text preview: Engineering Mechanics - Dynamics Chapter 17 Solution: First assume that all wheels are on the verge of slipping F A = μ s NA F B = μ s NB Guesses NA = 1 N NB = 1 N aG = 1 m 2 s Given μ s NB + μ s NA = M aG NA + NB − M g = 0 −NA a + NB( b − a) − μ s NB h − μ s NA h = 0 ⎛ NA ⎞ ⎜ ⎟ ⎜ NB ⎟ = Find ( NA , NB , aG) ⎜a ⎟ ⎝ G1 ⎠ ⎛ NA ⎞ ⎛ −261 ⎞ ⎜ ⎟=⎜ ⎟N ⎝ NB ⎠ ⎝ 9826 ⎠ aG1 = 7.85 NB = 1 N FB = 1 N aG = 1 2 s NA = 0 Next assume that the front wheels lose contact with the ground Guesses m m 2 s Given F B = M aG NB − M g = 0 ⎛ NB ⎞ ⎜ ⎟ ⎜ FB ⎟ = Find ( NB , FB , aG) ⎜a ⎟ ⎝ G2 ⎠ Choose the critical case NB( b − a) − FB h = 0 ⎛ NB ⎞ ⎛ 9565 ⎞ ⎜ ⎟=⎜ ⎟N ⎝ FB ⎠ ⎝ 6608 ⎠ aG = min ( aG1 , aG2) m aG2 = 6.78 2 s aG = 6.78 m 2 s Problem 17-26 The bottle of weight W rests on the check-out conveyor at a grocery store. If the coefficient of static friction is μs, determine the largest acceleration the conveyor can have without causing the bottle to slip or tip. The center of gravity is at G. Given: W = 2 lb μ s = 0.2 517 ...
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