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Grade 11,

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One ice skater of mass m moves with speed 2v to the right, while another of the same mass m moves with speed v toward the left. Their paths are separated by a distance b. At t = 0, when they are both at x = 0, they grasp a pole of length b and negligible mass. For t > 0, consider the system as a rigid body of two masses m separated by distance b, as shown in figure II. Which of the following is the correct formula for the motion after t = 0 of the skater initially at y = b/2? (1) x = 2vt, y = b/2 (2) x = vt + 0.5b sin(3vt/b), y = 0.5b cos(3vt/b) (3) x = 0.5vt + 0.5b sin(3vt/b), y = 0.5b cos(3vt/b) (4) x = 0.5vt + 0.5b sin(6vt/b), y = 0.5b cos(6vt/b)

One ice skater of mass m moves with speed 2v to the right, while another of the same mass m moves with speed v toward the left. Their paths are separated by a distance b. At t = 0, when they are both at x = 0, they grasp a pole of length b and negligible mass. For t > 0, consider the system as a rigid body of two masses m separated by distance b, as shown in figure II. Which of the following is the correct formula for the motion after t = 0 of the skater initially at y = b/2?
 
(1) x = 2vt, y = b/2
(2) x = vt + 0.5b sin(3vt/b), y = 0.5b cos(3vt/b)
(3) x = 0.5vt + 0.5b sin(3vt/b), y = 0.5b cos(3vt/b)
(4) x = 0.5vt + 0.5b sin(6vt/b), y = 0.5b cos(6vt/b)

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