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4. Determine the motion of the center of mass using Allysons Method. In the motion diagram below mt and m2 make up a system of two particles. Assume that mi is moving in the +x direction as indicated by the equally spaced interval of dots and that m2 is stationary. If the masses are equal (m1 m2) the velocity of the center of mass is found by first connecting a series of lines from each successive m1 position dot to the center of the stationary mass, m2. Next, find the center of each of these connecting lines. This process, called Allysons method after the student who first applied it, will yield another series of position dots (center of each line) that represent the motion of the center of mass. (a) Perform these steps on the diagram below and label the path of the center-of-mass of the two-particle system. (b) How does the distance between the center-of-mass points compare to the distance traveled by mi during each time interval? (c) Based upon your answer to (b) how does the velocity of the center-of-mass, VcM compare to the velocity of m1, vi? (d) Does your answer to (c) make sense? Explain. (e) Calculate the velocity of mi and Vcm. Hint: v-A I m1 I i m 2 10cm

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hani m nAレ mi

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