Mark correct option or options: (a) A uniform cube has...

Name: Problem 55, Chapter 8: Arihant AIEEE Physics
Uploaded: 2021-10-12T06:48:34-08:00
Duration: 2 min 12 s
Channel: Khoobchandra Agrawal
Description: Mark correct option or options: (a) A uniform cube has minimum moment of inertia about an axis passing through centre and is passing through opposite corners (b) The moment of inertia of a complicated shape bodies can be determined by using inertia of table (c) Displacing of axial vectors is meaningless (d) All the above

Mark correct option or options: (a) A uniform cube has minimum moment of inertia about an axis passing through centre and is passing through opposite corners (b) The moment of inertia of a complicated shape bodies can be determined by using inertia of table (c) Displacing of axial vectors is meaningless (d) All the above

Mark correct option or options:
(a) A uniform cube has minimum moment of inertia about an axis passing through centre and is passing through opposite corners
(b) The moment of inertia of a complicated shape bodies can be determined by using inertia of table
(c) Displacing of axial vectors is meaningless
(d) All the above

Key Concepts

Moment of Inertia

This is a fundamental physical quantity that measures the resistance of a rigid body to angular acceleration about a given axis. It depends on how an object’s mass is distributed with respect to the axis of rotation. For highly symmetric bodies, like a uniform cube, calculations can sometimes indicate that all axes through the centre yield the same moment of inertia, although specific axes may be highlighted in certain contexts.

Composite Methods for Inertia Calculation

For geometrically complicated bodies, the moment of inertia is often determined by decomposing the body into simpler shapes whose moments of inertia are known (often tabulated), and then combining these contributions appropriately. The technique often relies on principles such as the parallel axis theorem, which allows for shifting the axis of rotation from the centre of mass to other parallel axes.

Axial Vectors

Axial vectors (or pseudovectors) are quantities that result from the cross product of two polar vectors (such as the angular momentum derived from the cross product of position and momentum). They are inherently tied to the point about which the rotation is defined, meaning that unlike free vectors, they cannot be arbitrarily displaced and still represent the same physical quantity. This characteristic underlies the statement that displacing axial vectors is meaningless.

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