Name: Question 3 Date: Pd: PPO Dog Walker 3000 The Butterfly Effect: Two different totally-real-and-not-made-up styles...

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Name: Question 3 Date: Pd: PPO Dog Walker 3000 The Butterfly Effect: Two different totally-real-and-not-made-up styles of yoyo are shown above. Though their masses are equal, the moment of inertia of The Butterfly Effect is larger than that of the Dog-Walker 3000. In an experiment each kind of yoyo is unwound from rest and allowed to fall from a height H. The string for each yoyo unwinds smoothly without slipping. At the same time, a tangerine of equal mass is dropped from a height H. All three objects fall a total distance H before reaching the ground. (a) What is the value of a, the linear acceleration of the tangerine? (b) The fall times of the three objects are measured and labeled as 73000' TBF T (i) 3000' Derive an expression for a the linear acceleration of the Dog-Walker 3000, in terms of H, T3000 and appropriate fundamental constants. (ii) How would the magnitudes of a, and a 3000 compare to each other? Explain your reasoning. (c) Which yoyo has a larger tension in the string as they fall? This question can be answered without knowing how T compares to T BF 3000 Name: Question 3 Date: Pd: PPO Dog Walker 3000 The Butterfly Effect: Two different totally-real-and-not-made-up styles of yoyo are shown above. Though their masses are equal, the moment of inertia of The Butterfly Effect is larger than that of the Dog-Walker 3000. In an experiment each kind of yoyo is unwound from rest and allowed to fall from a height H. The string for each yoyo unwinds smoothly without slipping. At the same time, a tangerine of equal mass is dropped from a height H. All three objects fall a total distance H before reaching the ground. (a) What is the value of a, the linear acceleration of the tangerine? (b) The fall times of the three objects are measured and labeled as 73000' TBF T (i) 3000' Derive an expression for a the linear acceleration of the Dog-Walker 3000, in terms of H, T3000 and appropriate fundamental constants. (ii) How would the magnitudes of a, and a 3000 compare to each other? Explain your reasoning. (c) Which yoyo has a larger tension in the string as they fall? This question can be answered without knowing how T compares to T BF 3000