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(a) For each event, predict whether Hans or Franz will win. Defend your choice using muscle mechanics principles and equations we’ve discussed in class. (You get credit for your reasons, not for just correctly guessing the winner). If there is a muscle property that you think is important that isn’t listed, assume that it is the same for both Hans and Franz. Assume both muscles have linear force-length properties and moment arms that are constant with joint angle. For all events, the muscles are loaded into a revolute joint with the given moment arm.

“Clean and Jerk”: The joint moves through a range of motion at a constant angular velocity of 100°/sec. The winning muscle is the one that produces the most force at the instant that it reaches optimal fiber length.

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(b) Hans and Franz were not both satisfied with their performance in the Torque-off competitions—they each thought they should be able to win both the 60° and 110° categories. They convince the Olympic officials to let them have a rematch. Over the weekend, both muscles worked hard to try to improve their odds. Franz went to the local Gold’s Gym and bulked up. Hans went to the local yoga studio and stayed in downward-facing dog all weekend. After this intense conditioning, their vital stats had changed, but each muscle still reaches its optimal fiber length at 60°—get your bookie back on the phone and predict who will win the two Torque-off competitions now.

(c) Using what you learned in this problem, comment on why we may have redundant muscles in our bodies.

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Disclaimer: Don’t take Hans’s and Franz’s experiences literally. Only a chronic stretch and a sustained weight training program could actually change the properties of your muscles – but you already knew that.

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