Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents

Your guest activity stays on this device

Sign in to save progress →
Sign in

Rotational Motion question

2011 · Q156
Guest · filters and generic practice availableBrowsing as a guest · PYQ filters and generic practice are available. Sign in only for personalised features and saved progress.
  1. PYQ Library
  2. /NEET
  3. /Physics
  4. /Rotational Motion
  5. /2011 · Q156

Rotational Motion question

2011 · Q156

NEETPhysicsRotational MotionMCQ+4 / −1
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 III0. Its moment of inertia about an axis passing through one of its ends and perpendicular to its length is
  1. A
    I0+ML2/2{I_0} + M{L^2}/2I0​+ML2/2
  2. B
    I0+ML2/4{I_0} + M{L^2}/4I0​+ML2/4
  3. C
    I0+2ML2{I_0} + 2M{L^2}I0​+2ML2
  4. D
    I0+ML2{I_0} + M{L^2}I0​+ML2
View written solutionFree

Correct answer: B

By the theorem of parallel axes, the moment of inertia of a body about any axis is equal to the sum of the moment of inertia about a parallel axis through the centre of mass and Ma2 , where M is the mass of the body and a is the separation between the two axes.

Therefore, the moment of inertia of the rod about an axis passing through one of its ends and perpendicular to its length is

I = I0 + M (L/2)2

= I0 + ML2/4

PreviousNext

More from Rotational Motion

  • A thin circular ring of mass M and radius r is rotating about its axis with constant angular velocity ω. Two objects each of msass m are attached gently to the opposite ends of a diameter of the ring. The ring now rotates with…2010 · MCQ
  • A solid cylinder and a hollow cylinder, both of the same mass and same external diameter are released from the same height at the same time on an inclined plane. Both roll down without slipping. Which one will reach the bottom first?2010 · MCQ
  • From a circular disc of radius R and mass 9M, a small disc of mass M and radius 3R​ is removed concentrically. The moment of inertia of the remaining disc about an axis perpendicular to the plane of the disc and passing through…2010 · MCQ
  • A circular disk of moment of inertia It​ is rotating in a horizontal plane, about its symmetry axis, with a constant angular speed ωi​. Another disk of moment of inertia Ib​ is dropped coaxially onto the rotating disk.…2010 · MCQ
  • A gramophone record is revolving with an angular velocity ω. A coin is placed at a distance r from the centre of the record. The static coefficient of friction is μ. The coin will revolve with the record if2010 · MCQ
  • 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 ω. If two objects each of mass m be attached gently to the opposite ends of a…2009 · MCQ
  • Four identical thin rods each of mass M and length l, form a square frame. Moment of inertia of this frame about an axis through the centre of the square and perpendicular to its plane is2009 · MCQ
  • If F is the force acting on a particle having position vector r and τ be the torque of this force about the origin, then2009 · MCQ