1) a) Throughtout the giant swing, the gymnast had to use her grip force and/or

Question

1) a) Throughtout the giant swing, the gymnast had to use her grip force and/or body weight to accelerate her center of mass towards the bar. Based on the graph of angular velocity, over what part of the giant swing was the greatest radial acceleration (= r ^2) and associated force needed? How did you come to this conclusion?

b) If the gymnast had let go of the bar in frame8, how fast and at what angle would her center of mass have been projected ino the air (i.e. what would her projection speed and projection angle have been)? Explain how you determined this.

Explanation / Answer

We can use R for radius of rotation since from the data R = (x^2 + y^2)^1/2 apparently using hip as radius of rotation Also, we would expect max angular speed to occur at 6 or 7 or 8 If w = angular speed then 6) a = w^2 * R = 1.155^2 * 1.41 = 1.88 m/s^2 7) a = 1.148^2 * 1.38 = 1.82 m/s^2 8) a = 1.218^2 * 1.376 = 2.04 m/s^2 b) At pos (8) the hip is moving at 135 deg (upwards to left) at 1.667 m/s and since the gymnast has released from the bar only gravity will affect the motion from this point

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