First slide

Hook's Law

Question

The elongation in a metallic rod hinged at one end and rotating in a horizontal plane becomes four times of the initial value. The angular velocity of rotation becomes

Easy

A

two times the initial value
B

half of initial value
C

one third of initial value
D

four times the initial value

Solution

$Δ l = \frac{ρ ω^{2} l^{3}}{6 A Y} \Rightarrow Δ l \infty ω^{2}$

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