Rotation 2 Question 14

14. A thin circular ring of mass M and radius r is rotating about its axis with a constant angular velocity ω. Two objects, each of mass m, are attached gently to the opposite ends of a diameter of the ring. The wheel now rotates with an angular velocity

(1983, 1M)

(a) ωM/(M+m)

(b) ω(M2m)/(M+2m)

(c) ωM/(M+2m)

(d) ω(M+2m)/M

Objective Question II (One or more correct option)

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Answer:

Correct Answer: 14. (c)

Solution:

  1. I1ω1=I2ω2

ω2=I1I2ω=Mr2Mr2+2mr2ω=MM+2mω



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