Assertion: Value of radius of gyration of a body depends on axis of rotation.
Reason: Radius of gyration is root mean square distance of particle of the body from the axis of rotation.

If both assertion and reason are true and reason is the correct explanation of assertion.

If both assertion and reason are true but reason is not the correct explanation of assertion.

If assertion is true but reason is false.

If both assertion and reason are false.

Solution

If both assertion and reason are true and reason is the correct explanation of assertion.

Radius of gyration of body a given axis is equal to

k = $\frac{\sqrt{r_{1}^{2} + r_{2}^{2} + . . . . . + {r_{n}}^{2}}}{n}$

It thus depends upon shape and size of the body, position and configuration of the axis of rotation and also on distribution of mass of body w.r.t. the axis of rotation

Some More Questions From System of Particles and Rotational Motion Chapter

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System Of Particles And Rotational Motion

Some More Questions From System of Particles and Rotational Motion Chapter

Angular momentum of the particle rotating with a central force is constant due to

Four point masses, each of value m, are placed at the corners of a square ABCD of side A. The moment of inertia through A and parallel to BD is

A wire elongates by

A ‘T’ shaped object with dimensions shown in the figure, is lying on a smooth floor. A force F is applied at the point P parallel to AB, such that the object has only the translational motion without rotation. Find the location of P with respect to C

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