A uniform rod of mass and length suspended by means of two identical inextensible light strings as shown in figure. Tension in one string immediately after the other string is cut, is _____. (g acceleration due to gravity) [2026]

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Solution

Q.
A uniform rod of mass $m$ and length $/$ suspended by means of two identical inextensible light strings as shown in figure. Tension in one string immediately after the other string is cut, is _____. (g acceleration due to gravity) [2026]

1 mg/2

2 mg/4

3 mg

4 mg/3

Ans.
(2)

$m g \frac{l}{2} = \frac{m l^{2}}{3} α$

$α = \frac{3 g}{2 l} \dots (1)$

$m g - T = m a_{c}$

$T = m g - m a_{c}$

$= m g - m (\frac{l}{2} α)$

$= m g - m (\frac{l}{2} \cdot \frac{3 g}{2 l})$

$T = \frac{m g}{4}$

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