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Statement -1 —If the cylinder rolling with angular speed ω. suddenly breaks up in to two equal halves of the same radius. The angular speed of each piece becomes 2ω

Statement -2—If no external torque outs, the angular momentum of the system is conserved. 

(A) Statement - 1 is correct (true), Statement - 2 is true and Statement- 2 is correct explanation for Statement - 1 

(B) Statement -1 is true, statement -2 is true but statement-2 is not the correct explanation four statement -1. 

(C) Statement - 1 is true, statement-2 is false 

(D) Statement-2 is false, statement -2 is true

1 Answer

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Best answer

Correct option: (A) Statement - 1 is correct (true), Statement - 2 is true and Statement- 2 is correct explanation for Statement - 1

Explanation:

Let I  Moment of inertia of complete cylinder.

then Moment of inertia of each piece = (I/2)

 L = Iω = constant,

hence  ω→2ω to keep L constant

If no external torque outs, angular momentum is conserved.

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