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# HW6 - Physics 105 Mechanics Fall 2009 Homework 6 Due Friday...

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Physics 105: Mechanics Fall 2009 Homework 6 Due Friday 10/16 Read sections 4.13-4.16 and 5.1-5.7 the text. Do the following problems. 1. Do 4.HW.84. 2. Do 4.HW.91. 3. Do 4.HW.96. Vera Rubin is a Georgetown alumna. 4. Do 4.HW.98. 5. Do 4.HW.103. 6. Do 4.HW.74. For part (a), model the rod as a chain of atoms connected by springs (assume the springs have negligible mass). Answer the following questions, giving your reasoning for each step. ..... s1 s3 s2 a1 a2 a3 What is the relation between the acceleration of atom 1, the acceleration of atom 2, the acceleration of atom 3 etc.? Draw a free body diagram for atom 1. Is the length of spring 1 greater than, less than, or equal to the ideal bond length d 0 ? Draw a free body diagram for atom 2. Is the length of spring 2 greater than, less than, or equal to the length of spring 1? Is the length of spring 2 greater than, less than, or equal to the the ideal bond length? Rank order all the bonds by length, and include the ideal bond length d 0 in the list. Use the same sorts of arguments for part (b). 7. Do 4.HW.75. For parts (b) and (c), rank order the lengths of the atomic bonds near the left end of the rod ( d L ), those near the right end of the rod ( d R ), and the ideal bond length ( d 0 ). Explain your reasoning.

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8. Consider a pendulum on the up swing part of its trajectory, at a position where the string makes
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HW6 - Physics 105 Mechanics Fall 2009 Homework 6 Due Friday...

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