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 :-
Cable
Cable
Cable
(1) Pattern A is more sturdy
(2) Pattern B is more sturdy
(3) Pattern C is more sturdy
(4) All will have same sturdiness​

Answer 1

Answer:

1) pattern A is more sturdy

Answer 2

The pattern A is more sturdy.

Option (A) is correct.

Explanation:

• Torque created due to weight of street light remains same in all the three cases.
• This torque is balanced by torque created by tension in the string.
• So if r be the torque created by weight of lamp and T 'be tension in the string and d be perpendicular distance of cable from the axis then torque would be

• τ =T.d
• Tension will be least when d is largest.
• This is in pattern A.
• So Pattern A is more sturdy.