A uniform rod of length L and weight W is suspended horizontally by two vertical ropes as shown. fir

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6.System of Particles and Rotational Motion

hard

A uniform rod of length $L$ and weight $W$ is suspended horizontally by two vertical ropes as shown. The first rope is attached to the left end of the rod while the second rope is attached a distance $L /4$ from the right end. The tension in the second rope is

A

$\frac{W}{2}$

B

$\frac{W}{4}$

C

$\frac{W}{3}$

D

$\frac{{2W}}{3}$

Solution

$T_{1}+T_{2}=W$

Taking moment about $A .[C . W . \oplus)$

$W \times \frac{L}{2}-T_{2} \times \frac{3 L}{4}=0$

$T_{2}=\frac{\overline{2} W}{3}$

Standard 11

Physics

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