lecture9 - Lecture 9 Lecture Newtons Laws applied to...

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Lecture 9 Lecture 9 Newton’s Laws applied to systems with two or more accelerated bodies. Serway and Jewett : 5.7, 5.8

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Problems with several accelerated objects: Free-body diagram for each object. Relate forces by finding action-reaction pairs, etc. Look for constraints on the motion to relate accelerations. “F=ma” for each diagram, break into components. Count unknowns: do you have enough equations? Use algebra to solve.
Two blocks connected by a rope are being pulled by a horizontal force F A . Given that F=60 N, m 1 =12kg and m 2 =18kg, and that μ k =0.1, find the tension in the rope between them and the acceleration of the system. m 1 m 2 F A T

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Atwood’s Machine Calculate the acceleration of the blocks. Assume : - no friction - massless rope and pulley - rope doesn’t stretch Plan: • free-body diagram for each mass • relate tensions, accelerations • use Newton’s second Law m 1 m 2
Constraints on the motion: Because the cord doesn’t stretch! Any downward

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lecture9 - Lecture 9 Lecture Newtons Laws applied to...

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