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Two particles having mass ratio n : 1 are interconnected by a light inextensible string that passes over a smooth pulley. If the system is released, then the acceleration of the centre of mass of the system is :
  • a)
    (n _1)2 g
  • b)
     
  • c)
  • d)
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Two particles having mass ratio n : 1 are interconnected by a light in...
Given 
Each mass will have the acceleration 
However m1 which is heavier will have the will have acceleration a1 vertically down while the lighter mass m2 will have acceleration a2 vertically up → a2=−a1
The acceleration of the center of mass of the system, 
Given that 

Since  diving by m2 and simplifying 
Hence c is the correct answer
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Two particles having mass ratio n : 1 are interconnected by a light in...
Given 
Each mass will have the acceleration 
However m1 which is heavier will have the will have acceleration a1 vertically down while the lighter mass m2 will have acceleration a2 vertically up → a2=−a1
The acceleration of the center of mass of the system, 
Given that 

Since  diving by m2 and simplifying 
Hence c is the correct answer
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Two particles having mass ratio n : 1 are interconnected by a light inextensible string that passes over a smooth pulley. If the system is released, then the acceleration of the centre of mass of the system is :a)(n _1)2gb)c)d)Correct answer is option 'C'. Can you explain this answer?
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