A thin circular ring of mass M and radius R is rotating in a horizontal plane about

A thin circular ring of mass M and radius R is rotating in a horizontal plane about an axis vertical to its plane with a constant angular velocity ?. If two objects each of mass m be attached gently to the opposite ends of a diameter of the ring, the ring will then rotate with an angular velocity:

Options

(a) ?M / M + 2m
(b) ? (M + 2m) / M
(c) ?M / M + m
(d) ? (M – 2m) / M + 2m

Correct Answer:

?M / M + 2m

Explanation:

In abstance of external torque, L = I? = constant
I₁?¬ツチ = I₂?¬ツツ,I₁ = MR²,I₂ = MR² + 2mR²
(Moment of inertia of a thin ciruclar ring about axis vertical to its plane = MR²)
?¬ツツ = I₁ / I₂ ⇒ ? = ?M / M + 2m

admin:

Related Questions

  1. Three identical spheres, each of mass 3 kg are placed touching each other
  2. For transistor action (1) Base, emitter and collector regions should have similar size
  3. The molecular weight of a gas is 44. The volume occupied by 2.2 g of this gas
  4. Photoelectric current from a given photocell will depend upon
  5. A bullet is shot from a riffle. As a result the rifle recoils.The kinetic energy of riffle