Two masses 𝑀 and 𝑚 are attached to a vertical axis by weightless threads of combined length 𝑙. They are set in rotational motion in a horizontal plane about this axis with constant angular velocity 𝜔 . If the tensions in the threads are the same during motion, the distance of 𝑀 from the axis is

Question : Two masses 𝑀 and 𝑚 are attached to a vertical axis by weightless threads of combined length 𝑙. They are set in rotational motion in a horizontal plane about this axis with constant angular velocity 𝜔 . If the tensions in the threads are the same during motion, the distance of 𝑀 from the axis is

(A) \dfrac{Ml}{M+m}

(B) \dfrac{ml}{M+m}

(C) \dfrac{M+m}{M}+l

(D) \dfrac{M+m}{m}+l

Answer : option (B)

Solution :

Two masses 𝑀 and 𝑚 are attached to a vertical axis by weightless threads of combined length 𝑙. They are set in rotational motion in a horizontal plane about this axis with constant angular velocity 𝜔 . If the tensions in the threads are the same during motion, the distance of 𝑀 from the axis is
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