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F A yoyo is a toy made of three uniform density disks with a string wrapped around the middle disk. The middle disk has

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F A yoyo is a toy made of three uniform density disks with a string wrapped around the middle disk. The middle disk has a mass m and radius r ; the outer disks each have mass M and radius R. The string has negligible mass and stretches a negligible amount. Analyze the following situation. As the yoyo is moving downward, you pull up with a constant force F and as you pull, your hand moves upward a distance b. At the beginning of your move the yoyo was headed downward with speed v and angular speed w. When your hand has moved up a distance b, the yoyo has moved down a smaller distance h and has speed 2 downward and angular speed w. Assume that the string doesn't slip or rub against the outer disks, so there is no change in temperature of the yoyo. h F R V1 downward R V2 downward M H. M Side view (a) The moment of inertia of the yoyo is the sum of the moments of inertia of the three disks about the axis of rotation. Calculate this quantity. 1/2*(m*r^2+2 (b) Calculate the speed v2. sqrt(v_1+((2* # (c) Calculate the angular speed w2. ((omega_1^2

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