14_P64InstructorSolution - 14.64. Model: Assume the...

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14.64. Model: Assume the small-angle approximation. Visualize: Solve: The tension in the two strings pulls downward at angle . θ Thus Newton’s second law is 2s i n y y FT m a =− = From the geometry of the figure we can see that 22 sin y L y = + If the oscillation is small, then yL ± and we can approximate sin / . Since y / L is tan , this approximation is equivalent to the small-angle approximation sin tan if 1 rad. ± With this approximation, Newton’s second law becomes
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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 University of Georgia Athens.

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