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Consider three bodies : a ring, a disc a...

Consider three bodies : a ring, a disc and a sphere. All the bodies have same mass and radius. All rotate about their axis through their respective centre of mass and perpendicular to the plane. What is the ratio of moment of inertia ?

A

the body which is having greater moment of inertia will have more angular acceleration

B

the body which is having greater moment of inertia will have lower angular acceleration

C

both will accelerate with same magnitude

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • Consider four bodies-a ring, a cube, a disc and a sphere. All the bodies have the same diameter, equal to the length of the cube on ech edge.All rotate about their axes through their respective centres of mass. Which one has the largest moment of inertia?

    A
    Ring
    B
    Cube
    C
    Disc
    D
    Sphere

  • Moment of inertia of a ring of mass M and radius R about an axis passing through the centre and perpendicular to the plane is I. What is the moment of inertia about its diameter?

    A
    I
    B
    `(I)/(2)`
    C
    `(I)/(sqrt2)`
    D
    `I + MR^(2)`

  • Moment of inertia of a ring of mass M and radius R about an axis passing through the centre and perpendicular to the plane is

    A
    `1//2MR^(2)`
    B
    `MR^(2)`
    C
    `1//4MR^(2)`
    D
    `3//4 MR^(2)`