Question

A blob of putty of mass m moves with a speed 2v to the right, while a second blob of putty of the same mass m moves with a speed v to the left, as shown. Their paths are separated by a distance b. They both reach a thin rigid rod of length b and mass 2m at the same instant t-0, and stick to opposite ends of the rod. (Use standard definitions of a right- handed coordinate system with the positive x-axis pointing to the right and the positive y-axis pointing to the top of the page. Express all answers in terms of the given variables m, v and b.) What is the magnitude and direction of the linear velocity of the mid-point of the rod after 0? (a) What is the magnitude of the angular velocity of the system about the mid-point of the rod after t0? (b) c) Where is the sweet spot on the rod that has zero instantaneous velocity immediately after 02 Using the center of the rod before collision as the origin, write down parametric equations (as a function of time t) for the x- and y-positions of the top and bottom ends of the rod after0 (d)
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