W4.2 - Physics for Scientists & Engineers 1 Sprin...

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January 30, 2008 1 Engineers 1 Engineers 1 Sprin Semester 2008 Lecture 13
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January 30, 2008 2 Example: Still Rings (1) Example: Still Rings (1) Gymnast of mass 55 kg hangs from still rings. Question 1: What is the tension in each rope? Example
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January 30, 2008 3 Example: Still Rings (2) Example: Still Rings (2) Answer: no forces in x-direction; in y-direction: Example F y , i = T 1 + T 2 i ! " mg = 0 Both ropes support gymnast equally T 1 = T 2 ! T T + T ! mg = 0 " T = 1 2 mg = 1 2 (55 kg) # (9.81 m/s 2 ) = 270 N
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4 Example: Still Rings (3) Example: Still Rings (3) Question 2: What changes if the rings do not hang straight down, but at an angle relative to the ceiling? Example Equilibrium conditions: Combine both equations: As angle gets smaller, T gets bigger! F x y < 90 °
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W4.2 - Physics for Scientists &amp; Engineers 1 Sprin...

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