Question

If a street light of mass $M$ is suspended from the end of uniform rod of length $L$ in the different possible patterns as shown in figure, then

• A. Pattern $A$ is more sturdy
• B. Pattern $B$ is more sturdy
• C. Pattern $C$ is more sturdy
• D. none of these

Answer 1

Answer: (A)

$\text{Torque croated due to weight of streat light remains}$

$\text{same in all the three cases.}9t\text{is balanced by}$

$\text{torque created by tension in the string. So if}\gamma$

$\text{be the torque created by weight of lamp and}T\text{'}$

$\text{be tension in the string and '}d\text{' be perpendicular}$

$\text{distance of cable from the axis thou,}$

$\tau =T\cdot d$

$\text{Tension will be least for laxgest'd'. This is}$

$\text{in pattern}A\text{is more sturdy.}$