180_Dynamics 11ed Manual

180_Dynamics 11ed Manual - Engineering Mechanics Dynamics...

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Engineering Mechanics - Dynamics Chapter 13 Case 2: If F AB 67N = < F ABmax 88.29 N = and F BC 82N = > F BCmax 58.86 N = and F CD 18N = < F CDmax 29.43 N = then slipping occurs between B and C . We will assume that no slipping occurs at the other 2 surfaces. Set F BC μ k 2 Mg () = a B 0 = a C a D = a = Guesses F AB 1N = F CD = a 1 m s 2 = Given F D F CD + Ma = F C F CD F BC = F B F AB F BC + 0 = F AB F CD a Find F AB F CD , a , = F AB F CD 24.24 39.38 N = a 2.138 m s 2 = a C a = a D a = If F AB 24.24 N = < F ABmax 88.29 N = and F CD 39.38 N = > F CDmax 29.43 N = then we have the correct answer and the accelerations are a B 0 = , a C 2.138 m s 2 = , a D 2.138 m s 2 = Case 3: If F AB 24.24 N = < F ABmax 88.29 N = and F CD 39.38 N = > F CDmax 29.43 N = then slipping occurs between C and D as well as between B and C . We will assume that no slipping occurs at the other surface. Set F BC k 2 = F CD k = Guesses F AB = a C 1 m s 2 = a D 1 m s 2 = Given F D F CD + D = F C F CD F BC C = F B F AB F BC + 0 = F AB a C a D
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