Question 133: Properties of Matter

Question

An object of mass m is suspended at the end of a massless wire of length L and area of crosssection A. Young modulus of the material of the wire is Y. If the mass is pulled down slightly its
frequency of oscillation along the vertical direction is :

Accepted Answer

An elastic wire can be treated as a spring with
k = $${{YA} \over l}$$
T = $$2\pi \sqrt {{m \over k}} $$
$$ \Rightarrow $$ f = $${1 \over {2\pi }}\sqrt {{k \over m}} $$ = $${1 \over {2\pi }}\sqrt {{{YA} \over {ml}}} $$

Answer

$$f = {1 \over {2\pi }}\sqrt {{{YA} \over {mL}}} $$

Answer

$$f = {1 \over {2\pi }}\sqrt {{{mL} \over {YA}}} $$

Answer

$$f = {1 \over {2\pi }}\sqrt {{{YL} \over {mA}}} $$

Answer

$$f = {1 \over {2\pi }}\sqrt {{{mA} \over {YL}}} $$

Properties of Matter

An object of mass m is suspended at the end of a massless wire of length L and area of crosssection A. Young modulus of the material of the wire is Y. If the mass is pulled down slightly its frequency of oscillation along the vertical direction is :

Choose the correct answer: