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07_P30InstructorSolution

# 07_P30InstructorSolution - 7.30 Model The two blocks form a...

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7.30 . Model: The two blocks form a system of interacting objects. Visualize: Please refer to Figure P7.30. Solve: It is possible that the left-hand block (Block L) is accelerating down the slope faster than the right-hand block (Block R), causing the string to be slack (zero tension). If that were the case, we would get a zero or negative answer for the tension in the string. Newton’s first law applied to the y -direction on Block L yields ( ) ( ) L L G L L L 0 cos20 cos20 = = ° ⇒ = ° y F n F n m g Therefore ( ) ( ) ( )( ) ( ) 2 k k L L L cos20 0.20 1.0 kg 9.80 m/s cos20 1.84 N f m g μ = ° = ° = A similar analysis of the vertical forces on Block R gives ( ) k R 1.84 N f = as well. Using Newton’s second law in
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