A thin uniform metallic rod of length L and radius R rotates with an angular velocity ω in a horizontal plane about a vertical axis passing through one of its ends. The density and the Young's modulus of the material of

Correct answer: B. ( ω^2 L^3)/(3 Y) No Solution

Olympiad workbook

Exam: Olympiad workbook
Subject: NSEP
Chapter: Rotational Motion

Olympiad workbook · NSEP · Rotational Motion

A thin uniform metallic rod of length L and radius R rotates with...

A thin uniform metallic rod of length

L

and radius

R

rotates with an angular velocity

\omega

in a horizontal plane about a vertical axis passing through one of its ends. The density and the Young's modulus of the material of the rod are

\rho

and Y respectively. The elongation in its length is A thin uniform metallic rod of length L and radius R rotates with an angular velocity ω in a horizontal plane about a

A thin uniform metallic rod of length L and radius R rotates with an angular velocity ω in a horizontal plane about a

Options

A $\frac{\rho \omega^2 L^3}{6 Y}$
B $\frac{\rho \omega^2 L^3}{3 Y}$
C $\frac{\rho \omega^2 R L^2}{2 Y}$
D $\frac{\rho \omega^2 L^3}{2 Y}$

Correct answer

B. $\frac{\rho \omega^2 L^3}{3 Y}$

Step-by-step solution

No Solution

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