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# lecture9 - Lecture 9 Newtons Laws applied to systems with...

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1 Physics 1D03 - Lecture 9 Lecture 9 Newton’s Laws applied to systems with two or more accelerated bodies. Serway and Jewett 5.7, 5.8 Practice Problems: - Complete the examples in today’s lecture. - Chapter 5 : 31, 43, 67, 69 Physics 1D03 - Lecture 9 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.

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2 Physics 1D03 - Lecture 9 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 Physics 1D03 - Lecture 9 Forces on m 1 T 1 m 1 g T 2 m 2 g Forces on m 2 a 1 a 2 Tensions are equal (“ideal” pulley, light rope) Accelerations are equal in magnitude ( why? ), opposite in direction
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