# 8.38 - 8.38 Model Assume the particle model for the book(B...

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8.38. Model: Assume the particle model for the book (B) and the coffee cup (C), the models of kinetic and static friction, and the constant-acceleration kinematic equations. Visualize: Solve: (a) Using vv a x x xx 1 2 0 2 10 2 =+ () , 02 2 1 m /s 3.0 m/s 22 = + () ax ⇒= ax 1 4.5 m /s To find x 1 , we must first find a . Newton’s second law for the book and the coffee cup is Fn w n y on B B B B 2 N 1.0 kg 9.8 m/s 9.21 N =− ° = ⇒= °= cos cos 20 0 20 FT f w m a x on B k BB B =− − sin20 w m a y on C C C C =− = The last two equations can be rewritten, using a C = a B = a , as −− ° = Tn m g m a µ k B sin20 Tm gm a −= CC Adding the two equations, am m m CB k 9.21 N + + ° sin20 + ° [] ( ) 1.5 kg 9.8 m/s 0.5 kg 1.0 kg 0.20 9.21 N 2 a sin20 a 6 m / s 2 .73 Using this value for a , we can now find x 1 as follows: x a 1 673 0 669

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8.38 - 8.38 Model Assume the particle model for the book(B...

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