Question
The radius of gyration of an uniform rod of length l about an axis passing through one of its ends and perpendicular to its length is(a) $\frac{1}{\sqrt{2}}$(b) $\frac{l}{3}$(c) $\frac{1}{\sqrt{3}}$(d) $\frac{1}{2}$
Step 1
Step 1: The moment of inertia (I) of a uniform rod of mass (M) and length (L) about an axis passing through one of its ends and perpendicular to its length is given by $I = \frac{ML^2}{3}$. Show more…
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The radius of gyration of a uniform rod of length $L$ about an axis passing through its centre of mass and perpendicular to its length is (a) $L / \sqrt{12}$ (b) $t^{2} / 12$ (c) $L / \sqrt{3}$ (d) $L \underline{1} \sqrt{2}$
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Round 1
The radius of gyration of a uniform rod of length $L$ about an axis passing through its centre of mass is: (a) $\frac{L}{\sqrt{12}}$ (b) $\frac{L^{2}}{\sqrt{12}}$ (c) $\frac{L}{\sqrt{3}}$ (d) $\frac{L}{\sqrt{2}}$
SYSTEM OF PARTICLES AND ROTATIONAL MOTION
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Show that the radius of gyration of a thin rod of length $l$ about an axis through its centre and perpendicular to the rod is $\frac{i}{2 \sqrt{3}}$. An equilateral triangle $A B C$ is made of three identical thin rods each of length 1 . Find the radius of gyration of the triangle about an axis through A, perpendicular to the plane of $\mathrm{ABC}$.
Integration applications 2
Test exercise
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