The moment of inertia of a thin uniform rod of mass M and length L about an axis

The moment of inertia of a thin uniform rod of mass M and length L about an axis passing through its midpoint and perpendicular to its length is Iₒ. Its moment of inertia about an axis passing through one of its ends and perpendicular to its length is

Options

(a) Iₒ + ML² / 2
(b) Iₒ + ML² / 4
(c) Iₒ + 2ML²
(d) Iₒ + ML²

Correct Answer:

Iₒ + ML² / 4

Explanation:

By theorem of parallel axes,
I = Icm + Md²
I = Iₒ + M(L / 2)²
Iₒ + ML² / 4

admin:

Related Questions

  1. Force required to move a mass of 1kg at rest on a horizontal rough plane
  2. A person can see clearly objects only when they lie between 50 cm and 400 cm from
  3. If a body travels half the distance with velocity v1 and the next half with velocity v2
  4. A very small circular loop of radius a is initially (at t=0) coplanar and concentric
  5. A heavy stone hanging from a massless string of length 15 m is projected