A thin circular ring of mass M and radius R is rotating with a constant angular velocity 2 rad s –1 in a horizontal plane about an axis vertical to its plane and passing through the center of the ring. If two objects each of mass m be attached gently to the opposite ends of a diameter of ring, the ring will then rotate with an angular velocity (in rad s –1 )

Question

A thin circular ring of mass M and radius R is rotating with a constant angular velocity 2 rad s &ndash;1  in a horizontal plane about an axis vertical to its plane and passing through the center of the ring. If two objects each of mass m be attached gently to the opposite ends of a diameter of ring, the ring will then rotate with an angular velocity (in rad s &ndash;1 )

cdquestions Admin · Accepted Answer

$l_1 \omega_1 = l_2 \omega_2$ $⇒$   $MR^2 \times2 = (MR^2 + 2mR^2) \omega^2$ $⇒$   $\omega_2 = \frac{2M}{M+2m}$ So,the correct option is C:  $\frac{2M}{M+2m}$

Answer

$\frac{M}{M+m}$

Answer

$\frac{M+2m}{2M}$

Answer

$\frac{2M}{M+2m}$

Answer

$\frac{2(M+2m)}{M}$

The Correct Option is C

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