07_P41InstructorSolution

07_P41InstructorSolution - 7.41. Model: Assume the particle...

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7.41. 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 () 22 10 1 0 2, xx vv a x x =+ ( ) 2 1 0 m /s 3.0 m/s 2 ax 1 4.5 m /s ax ⇒= To find 1 , x we must first find a . Newton’s second law for the book and the coffee cup is () () ( )( ) 2 on B B G B B cos20 0 N 1.0 kg 9.8 m/s cos20 9.21 N y Fn F n = °= = () () on B k G B B B sin 20 x FT f F m a =− − ( ) on C G C C C y F m a =− = The last two equations can be rewritten, using CB , aaa = = as kB B B sin 20 Tn m g m a μ −− ° = CC Tm gm a −= Adding the two equations, ( ) ( ) k sin20 9.21 N am m gm m += + ° ( ) ( ) ( ) 2 1.5 kg 9.8 m/s 0.500 kg 1.0 kg sin 20 0.20 9.21 N a + ° ⎡⎤ ⎣⎦ 2 6.73 m/s a Using this value for a , we can now find
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This note was uploaded on 12/10/2011 for the course PHYS 1211 taught by Professor Geller during the Fall '09 term at UGA.

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07_P41InstructorSolution - 7.41. Model: Assume the particle...

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