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  1. A rod of length 3 m has its mass per unit length directly proportional to the distance x from one of its ends. At what distance from the same end will be its centre of mass?
  2. Two particles A and B are connected by a rigid rod AB. The rod slides alog mutually perpendicular rails as shown in diagram. The velocity of A to the left is 10 m/s. What is the velocity of B when angle α = 60 degrees?

  3. A thin wire of length L and uniform linear density ρ is bent into a circular loop with center at O as shown in figure. The moment of inertia of the loop about the axis XX' is

  4. ............... to be continued
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