Physics-
General
Easy

Question

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, as shown in figure I. 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)    

The correct answer is: x = 2vt, y = b / 2

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