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Parallel Axis Theorem

Theorem of pa...

Question

Theorem of parallel axes

A

applicable to body of any shape

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B

needs moment of inertia about an axis passing through CM and parallel to the axis about which we want to know the moment of inertia of the same body

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C

Both 1 and 2 are correct

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D

Both 1 and 2 are incorrect

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Solution

The correct option is B Both 1 and 2 are correct
Theorem of parallel axes needs moment of inertia about an axis passing through CM and parallel to the axis about which we want to know the moment of inertia of the same body and it is applicable to body of any shape.

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Q. Assertion :Moment of inertia of a rigid body about any axis passing through its centre of mass is minimum Reason: From theorem of parallel axis

I = I_{c m} + M r^{2}

Q. The moment of inertia of a circular disc of radius

2 m

1 k g

about an axis passing through its centre of mass and perpendicular to plane is

2 k g - m^{2}

. Its moment of inertia about an axis parallel to this axis and passing through its edge in

k g - m^{2}

Q. Moment of inertia of a ring of mass m = 3 gm and radius r = 1 cm about an axis passing through its edge and parallel to its natural axis is

Q. The moment of inertia of a solid cylinder about an axis parallel to its length and passing through its centre is equal to its moment of inertia about an axis perpendicular to the length of cylinder and passing through its centre. The ratio of radius of cylinder and its length is:

I

is moment of inertia of a thin square plate about an axis passing through any side. This square plate is bent into hollow cylinder such that two parallel sides of plate just come in contact. The moment of inertia of cylinder about an axis parallel to its axis and touching its surface is:

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